Without using formula, find the annual compound interest on: 

1. Rs 10000 at 10$\%$ for 2 years
2. Rs 8000 at 8$\%$ for 3 years
3. Rs 12000 at 5$\%$ for 3 years
4. Rs 15000 at 4$\%$ for 2 years

Using the formula, find the annual compound interest on:

1. Rs 3000 at 10$\%$ for 2 years
2. Rs 4000 at 10$\%$ for 3 years
3. Rs 5000 at 10$\%$ for 3 years
4. Rs 6000 at 10$\%$ for 2 years

Find the semi-annual compound interest of the following:

1. Rs 10000 at 10$\%$ for 2 years
2. Rs 40000 at 12$\%$ for 2 years
3. Rs 50000 at 15$\%$ for $1\frac {1}{2}$ years
4. Rs 20000 at 8$\%$ for $1\frac {1}{2}$ years

Find the Semi-annual compound interest of amount Rs 80,000 at 10$\rm \%$ for 1 year.

Find the Semi-annual compound interest of Rs 10,000 at 14$\rm \%$ for 1 year.

Find the Semi-annual compound interest of amount Rs 75,000 at 15$\rm \%$ for $1\rm \frac {1}{2}$ years.

Find the Semi-annual compound interest of amount Rs 90,000 at 8$\rm \%$ for $1\rm \frac {1}{2}$ years.

Find the quarterly compound interest of Rs 25,000 at 10$\rm \%$ for 1 year.

Find the quarterly compound interest of Rs 30,000 at 10$\rm \%$ for 9 months.

Find the quarterly compound interest of Rs 40,000 at 8$\rm \%$ for 6 months.

Find the quarterly compound interest of Rs 60,000 at 12$\rm \%$ for 12 months.

Find the quarterly compound interest of Rs 16,000 at 10$\rm \%$ for 6 months.

Find the quarterly compound interest of Rs 24,000 at 10$\rm \%$ for 9 months.

Find the quarterly compound interest of Rs 40,000 at 12$\rm \%$ for 1 year.

Find the quarterly compound interest of Rs 50,000 at 15$\rm \%$ for 12 months.

Samundra deposits Rs 850 at NBL at the half-yearly rate of 8$\%$ compound interest for 1 year.

1. How much interest will he get?
2. Find the annual compound interest for the same time.

Sagar deposits Rs 5000 for $1\frac {1}{2}$ years at the annual rate of 10$\rm \%$ in a bank

1. Find the semi-annual compound interest.
2. Find the semi-annual compound amount.

Jharana got Rs 1881 interest of certain sum for 2 years at 9$\rm \%$ compounded yearly.

1. Find the sum.
2. Find the compound amount after 2 years.

The annual compound amount of a sum of money for 2 years at 5$\rm \%$ is Rs 1323.

1. What is the borrowed sum?
2. Find the annual compound interest of 2 years.

At what time the annual compound amount of Rs 60000 at 10$\rm \%$ rate is Rs 79860?

Find the semi-annual compound interest on Rs 60,000 at 10$\rm \%$ p.a. for 1 year.

Find the quarterly compound interest on Rs 60,000 at 10$\rm \%$ p.a. for 1 year.

In how many years the annual compound amount of Rs 5000 at 10$\rm \%$ p.a. is Rs 6050?

Find the semi annual compound interest on Rs 5000 at 10$\rm \%$ p.a. for 1 year. 

Find the quarterly compound interest on Rs 5,000 at 10$\rm \%$ p.a. for 1 year.

A man lent Rs 5000 from a bank at the rate of 12$\rm \%$ p.a. for three years. 

1.  How much simple interest will he receive after 3 years? 
2.  How much annual compound interest will he receive after 3 years? 
3.  Find the difference of annual compound interest and simple interest after 3 years. 
4.  By what percent annual compound interest is more than simple interest? 
    

Ram borrowed Rs 4800 from Shyam at the rate of 10$\rm \%$ per annum. At the end of two years,

1.  How much simple interest will Ram have to pay?
2.  How much annual compound interest will Ram have to pay? 
3.  Find the difference of annual compound interest and simple interest after 3 years.
4. By what percent annual compound interest is more than simple interest?

Hari borrowed Rs 130000 from Krishna at the rate of 21$\rm \%$ per annum. At the end of 1 year and 6 months:

1. How much simple interest will he has to pay? 
2.  How much annual compound interest will he has to pay? 
3.  Find the difference of annual compound interest and simple interest after 3 years
4. Which interest do you suggest Hari to borrow the money? Give reason

Sita borrowed Rs 170000 from Radha at the rate of 21% per annum. At the end of 1 year 6 months:

1. How much simple interest will she has to pay?
2. How much annual compound interest will she has to pay? 
3.  Find the ratio of simple interest and annual compound interest. 
4. Which interest do you suggest Radha to lend the money? Give reason. 
    

Sundar borrowed Rs 7500 from Manish at the rate of 10$\rm \%$ per annum. At the end of 2 years

1.  How much simple interest will he has to pay? 
2. How much annual compound interest will he has to pay?
3.  Find the difference between the annual compound interest and simple interest.
4.  By what percent the annual compound interest is more than simple interest? 
    

Dhurmus lent Rs 12000 from Suntali at the rate of 20$\rm \%$ per annum. At the end of 2 years 

1.  How much simple interest will he has to pay? 
2.  How much annual compound interest will he has to pay ? 
3. Find the difference between the annual compound interest and simple interest. 
4. By what percent annual compound interest is more than simple interest? 
    

The difference between the annual compound interest and the simple interest on a sum of money for 2 years at the interest rate of 20$\rm \%$ per annum is Rs 400. 

1.  Find the sum.
2.  Find the simple interest.
3.  Find the annual compound interest. 
4. Find the ratio of the simple interest and the annual compound interest. 
    

The difference between the annual compound interest and the simple interest on a certain sum at 15$\rm \%$ per annum for 3 years is Rs 283.50. 

1. Find the sum. 
2.  Find the simple interest. 
3.  Find the annual compound interest. 
4. Find the ratio of the simple interest and the annual compound interest.

Mohan deposited Rs 5000 at 8$\rm \%$ p.a. compound interest in a bank. 

1. Find the amount compounded yearly in two years. 
2.  Find the amount compounded half yearly in two years. 
3.  Find the difference between the amounts compounded yearly and half yearly in two years.

Adarsha deposited Rs 4000 at 6$\rm \%$ p.a. compound interest in a bank. 

1.  Find the amount compounded yearly in two years. 
2.  Find the amount compounded half yearly in two years. 
3.  Find the difference between the amounts compounded yearly and half yearly in two years.

The sum of simple interest and compound interest after 2 years is Rs 202.50 and the rate of interest is 5$\rm \%$ per annum. 

1.  Find the principal. 
2.  Find the simple interest. 
3.  Find the annual compound interest. 
4.  By what percent annual compound interest is more than simple interest?

The sum of simple interest and compound interest after 3 years is Rs 504.80 and the rate of interest is 10$\rm \%$ per annum. 

1. Find the principal.
2.  Find the simple interest.
3.  Find the annual compound interest. 
4. By what percent annual compound interest is more than simple interest? 

The simple interest on a sum of money in 2 years is Rs 90 less than its compound interest. If the rate of interest in a year is 15$\rm \%$

1.  Find the sum. 
2.  Find the annual compound interest. 
3.  Find the simple interest. 
4.  Find the time at which both the annual compound interest and the simple interest will be equal. 
    

The compound interest on a sum of money in two years at the rate of 10$\rm \%$ per annum will be Rs 360 more than its simple interest.

1.  Find the sum. 
2. Find the annual compound interest.
3.  Find the simple interest. 
4.  Find the time at which both annual compound interest and simple interest will be equal

Susan borrowed a sum of money at the rate of 5$\rm \%$ simple interest for 2 years and he lent it on annual compound interest at the same rate for the same duration of time. In this transaction if he gained Rs 30 then, 

1. Find the sum borrowed. 
2.  Find the annual compound interest. 
3.  Find the simple interest. 
4.  Find the gain percent of Susan.

A money-lender borrows a certain sum of money at 3$\rm \%$ per annum simple interest and invests the same sum at 5$\rm \%$  per annum compound interest (Compounded annually). After 3 years he makes a profit of Rs 1082. 

1.  Find the amount he borrowed. 
2.  Find the annual compound interest.
3.  Find the simple interest. 
4. Find the gain percent of the money lender.
    

Ram borrowed Rs 4800 from Sita at the rate of 10$\rm \%$ p.a. At the end of one year 

1. How much simple interest will Ram have to pay? 
2. How much compound interest semi-annually will Ram have to pay? 
3.  How much compound interest quarterly will Ram have to pay? 
4.  Find the difference between quarterly compound interest and semi-annual compound interest.

Sarad borrowed Rs 4250 from Shyam at the rate of 12$\rm \%$ per annum. At the end of one year,

1.  How much simple interest will Sarad have to pay? 
2.  How much semi-annual compound interest will Sarad have to pay? 
3.  How much compound interest quarterly will Ram have to pay? 
4.  Find the difference between quarterly compound interest and semi-annual compound interest.

The annual compound interest on a certain sum for 2 years at 10$\rm \%$ per annum is Rs 420. 

1. Find the sum.
2.  What would be the simple interest on the same sum at the same rate for the same time?
3. Find the ratio between the annual compound interest and simple interest. 
4. By what percent annual compound interest is more than the simple interest?

Malati borrowed Rs 5000 from a bank for 2 years at the rate of 20% compounded per annum.

1.  Find the annual compound amount. 
2.  Find the annual compound interest. 
3.  At what time will be the same interest on the same sum at the same rate of simple interest?

According to the system of annual compound interest, a sum of money in 2 years amount Rs 7260 and in 3 years it amounts to Rs 7986.

1.  Find the rate of interest.
2. Find the sum 
3. Find the difference between the annual compound amounts in 2 years and 3 years.
4.  Find the simple interest calculated after second year for next one year write relation between the simple interest and answer obtained in (3).

According to the yearly compound interest, a sum of money amounts to Rs 6050 and Rs 6655 in 3 years. 

1.  What was the rate of interest? 
2. What was the sum? 
3. Find the difference between the annual compound amounts in 2 years and 3 years. 
4.  Find the simple interest calculated after second year for next one year and write relation between the simple interest and answer obtained in (3). 
    

If the sum Rs 8000 amounts to Rs 13824 at 20$\rm \%$ p.a. interest compounded annually, answer the following questions: 

1. Find the time required. 
2.  Find the compound interest at that time 
3.  Find the simple amount of the sum at same rate for same period of time.

If the compound interest payable yearly on Rs 10000 at 10$\rm \%$ p. a. be Rs 3310? 

1.  Find the time required to earn that interest. 
2.  Find the compound amount at that time. 
3.  Find the simple amount of the sum at same rate for same period of time.

The annual compound amount on Rs 576 in 2 years is Rs 625. 

1. Find the compound interest in 2 years.
2.  Find the rate of compound interest. 
3. Find the semi-annual compound amount using the rate found in (2).
4.  Compare the annual compound amount and semi-annual compound amount. 
    

The annual compound amount on Rs 8000 for 3 years is Rs 10648.

1.  Find the compound interest in 3 years.
2.  Find the rate of compound interest.
3. Find the semi-annual compound interest of Rs 8,000 for 2 years using the rate obtained.
4. Find the difference between annual compound amounts in 3 years and 2 years. 
    

A man deposits a sum of money at the annual rate of interest 10$\rm \%$ and gets the annual compound interest of Rs 1986 after 3 years. 

1. What was the deposited principal? 
2.  What is the simple interest of the sum for 3 years?
3.  Find the difference of the annual compound interest and simple interest. 
4.  By what percent the annual compound interest is more than simple interest?

The annual compound interest on a certain sum of money for 2 years at 4$\rm \%$ is Rs 2448.

1. Find the sum.
2. Find the compound amount.
3. In how many years will the simple interest on the same sum of money at 5$\rm \%$ become Rs 2500?
4.  Find the simple amount of the sum at 5$\rm \%$ at time obtained in (3).

Nikita receives the interest Rs 254.40 at the end of 2 years at 12$\rm \%$ annual compound! interest. If the semi-annual compound interest is allowed.

1. Find the sum. 
2.  Find the semi-annual compound interest. 
3.  How much more interest will she receive?

If the semi-annual compound interest on Rs 8000 for $1\rm \frac {1}{2}$ years is Rs 2648. 

1. Find the interest rate. 
2. What is the simple interest of the sum at the same rate and time?
3. If the interest rate is reduced to half, then what happens to the simple interest at the same time?

The simple interest on a certain sum of money for 2 years at 5$\rm \%$ per annum is Rs 320.

1. Find the principal 
2. What will be the annual compound interest on the same sum at the same rate, the interest being calculated yearly for 2 years?
3.  Find the semi-annual compound interest for 2 years.

A sum of money amounts to Rs 1800 at the rate of 5$\rm \%$ p.a. simple interest in 10 years 

1. Find the sum. 
2. Find the annual compound amount for 2 years at the same rate of interest.
3.  Calculate quarterly year compound interest for 1 year at the same rate.

Bimal deposits Rs 15000 in Sita Finance company and Rs 15000 in Lumbini Finance company at the rate of 12$\rm \%$ per annum. Sita Finance company pays interest compounded half yearly and Lumbini Finance company pays interest compounded yearly. Calculate the interest paid by,

1.  Sita Finance in 2 years.
2.  Lumbini Finance in 2 years. 
3. As a depositor, which finance is best to earn more interest? 
    

A invested Rs 4500 for 3 years at the rate of 8$\rm \%$ annual compound interest and B invested the same amount for the same time at the rate of per month per rupee 1 paisa simple interest. Calculate,

1.  The interest received by A.
2.  The interest received by B.
3.  Who earned more interest?

Compound interest on a sum of money for 2 years compounded annually is Rs 8034. Simple interest on the same sum for the same period and at the same rate is Rs 7800.

1.  Find the sum.
2.  Find the rate of interest.
3.  In how many years annual compound interest on the same sum at the same rate be Rs 15600?

Compound interest on a sum of money for 2 years compounded annually is Rs 1680. Simple interest on the same sum for the same period and at the same rate is Rs 1600.

1.  Find the sum.
2. Find the rate of interest.
3.  In how many years annual compound interest on the same sum at the same rate be Rs 3200?

The difference between the semi-annual compound interest and the annual compound interest on a sum of money for 2 years at the interest rate of 20$\rm \%$ per annum is Rs 482.

1.  Find the sum.
2. Find the semi-annual compound interest.
3. Find the annual compound interest.

The difference between the semi-annual compound interest and the annual compound interest on a sum of money for 2 years at the interest rate of 20$\rm \%$ per annum is Rs 241.

1.  Find the sum.
2. Find the semi-annual compound interest.
3. Find the annual compound interest. 
    

A sum of money Rs 25000 compounded annually for 2 years. The rates of interest for two years are 10$\rm \%$ and 12$\rm \%$  respectively.

1.  Find the amount compounded annually.
2.  Find the total compound interest.
3. If the single rate of interest is an average of 10$\rm \%$  and 12$\rm \%$  i.e. 11$\rm \%$  is used, then find the annual compound amount of the sum. 
4. Which of the compound amounts (1) or (3) is more?

A sum of money Rs 40000 compounded annually for 2 years at the rates of interest for the years 10$\rm \%$ and 15$\rm \%$ respectively. 

1.  Find the amount compounded annually
2. Find the total compound interest.
3.  If the single rate of interest of 12$\rm \%$ is used to calculate the annual compound amount and the sum, then find the new compound amount. 
    

The difference between the annual compound interest for 2 years and the quarterly compound interest for 1 year on a sum of money at the interest rate of 20$\rm \%$ per annum is Rs 6285.825.

1.  Find the sum. 
2. Find the annual compound interest
3.  Find the quarterly compound interest.

The difference between the annual compound interest for 2 years and the quarterly compound interest for 1 year on a sum of money at the interest rate of 15$\rm \%$ per annum is Rs 2457.74

1. Find the sum.
2. Find the annual compound interest
3. Find the quarterly compound interest.

Manita is planning to deposit Rs 40000 for 9 months, at 10$\rm \%$ per annum in a bank. 

1. If bank A provides semi-annual compound interest then find the semi-annual compound interest. 
2. If another bank B provides quarterly-based compound interest then find the quarter compound interest.
3. What is the difference between interests in (1) and (2)?
4.  Which bank is preferable for deposit and why? 
    

Arohi is planning to deposit Rs 16000 in a foreign bank which pays interest at the rate 10$\rm \%$ per annum.

1. If Bank A provides semi-annual compound interest then find the semi-annual compound interest after 1 year.
2.  If another bank B provides quarterly compound interest then find the quarterly compound interest after I year.
3. Which bank is preferable for deposit and why? 
    

Pushpa is planning to deposit his money Rs 4,00,000 in a bank for 1 year and visited 3 banks and found the interest rates as follows: 

Bank A: Annual compound interest at the rate of 16$\rm \%$. 

Bank B: Semi-annual compound interest at the rate of 15$\rm \%$.

 Bank C: Quarterly compound interest at the rate of 14$\rm \%$.

1. How much interest does Bank A provide? 
2. How much interest does Bank B provide?
3.  How much interest does Bank C provide?
4. Which bank is preferable for deposit?

Pushpanjali is planning to borrow a loan of Rs 5,00,000 from a bank for 1 year and visited 3 banks and found the interest rates as follows: 

Bank A: Rate of interest 10.5$\rm \%$. It is compounded in each year. 

Bank B: Rate of interest 10$\rm \%$. It is compounded in each 6 months. 

Bank C: Rate of interest 9.5$\rm \%$. It is compounded in each 3 months.

1. How much interest does Bank A charge?
2. How much interest does Bank B charge?
3. How much interest does Bank C charge?
4. Which bank is preferable for loan borrowing?

The present population of a town is 64000 and it increases at the rate of 5% per annum.

1. What will be the population of the town after two years?
2. What will be the increased population in 2 years?
3. What was the population before 2 years at the same rate?
4. By what percentage is the population after 2 years more than the population before two years? 

The population of a town increases at the rate of 5% per annum. The present population of the town is 67200.

1. What will be the population of the town after two years?
2. What will be the growth population after 2 years?
3. What was the population before 2 years at the same rate?
4. By what percentage is the population after 2 years more than the population before two years?

The population of a town in the year 2021 was 425000. 

1. Find its population in the year 2023 if the annual compound growth rate of the population is 4% per year.
2. Find the increased population from 2021 to 2023.
3. Find the population of the town in the year 2019 using same rate of population growth.

The population of a town in the year 2020 was 150000.

1. Find its population in the year 2023 if the annual compound growth rate of the population is 5% per year.
2. Find the increased population from 2020 to 2023.
3. Find the population of the town in the year 2018.

Two years ago, the population of a village was 15000 and the rate of population growth was 4% p.a.

1. What is the present population of the village? 
2. Find the population of the town after 2 years.

2 years ago, the population of a town was 120000. If the rate of growth of the population is 3% p.a.

1. What is the present population of the town?
2. Find the population of the town after 2 years. 
    

The present population of Nagarkot is 48400. The annual growth rate is 10%.

1. What was the population of Nagarkot before 2 years?
2. Find the population growth in the last two years.
3. If 1600 people migrated in now, then find the population of Nagarkot after two years at the same annual growth rate. 
    

The present population of Salyankot is 17496. The annual growth rate is 8%.

1. What was the population of Salyankot before 2 years?
2.  Find the population growth in two years. 
3. If 2504 people migrated in, then find the population of Salyankot after 2 years at the same annual growth rate.

The population of a village was 7200. If 5% of the population migrated in and 2% died due to different causes within a year, 

1. Find the number of people who migrated in that year.
2. Find the number of people who died that year.
3. What would be the population of the village after a year?

The population of a place was 2000, Within a year, the population has increased by 3% of birth rate and 2% by migration.

1. Find the number of new births.
2. Find the number of people who migrated in that year. 
3. How much population is there now? 
    

The present population of Ghandruk village is 13310 and the rate of growth is 10%

1. If 'P' is the present population, R% is the growth rate, and $\rm P_T$, is the population after "T years write the formula to calculate the increased population.
2. How many years ago the population was 10000 at the same growth rate?
3. If 310 people migrated out at the beginning of this year, find the population of the village at the end of next year.

The present population of Katunje village is 18150 and the rate of growth is 10%

1. If 'P' is the present population, R% is the growth rate, and $\rm P_T$, is the population after "T' year write the formula to calculate the increased population.
2. How many years ago the population was 15000?
3. If 150 people migrated out at the beginning of this year, find the population village at the end of next year. 
    

One year ago, the population of a village was 10000. The population at present is 1021

1. Find the population growth rate.
2. Find the population after 1 year at the same growth rate.
3. Find the population of the village 2 years ago at the same growth rate.

One year ago, the population of a village was 10000. The population at present is 9780

1.  Find the population decreasing rate.
2. Find the population after 1 year.
3. Find the population of the village 2 years ago. 

The population of Dhading Bensi increases by 10% every year. If the present population is 60000.

1. Find its population after 2 years.
2. Find its population before two years.
3. Find the growth in population in 4 years.

The population of a town increases every year by 4%. At the end of two years, the population of the village was 10000. If 1025 were migrated to other places, 

1. Find the total population at the end of 2 years.
2.  What was the population of the village in the beginning?
3. Find the increased population in 2 years. 

The population of a town increases every year by 10%. At the end of two years, the population of the town was 30000. If 5800 people were added by migration,

1. Find the total population at the end of 2 years.
2. What was the population of the town in the beginning? 
3. Find the increased population in 2 years.
    

The population of Kathmandu Valley was 1000000 in the year 2057 and the population growth rate was 4.5%. If 25000 men migrated here from other places at the beginning of the year 2058.

1. Find the population of the Kathmandu Valley at the beginning of 2058 BS.
2. What will be the total population at the beginning of the year 2060?
3. Find the growth of the migrated population in 2 years. 

3 years ago, the population of a village was 25000. The rate of population growth is 3%. One year ago, 522 people died of epidemic disease, 

1. Find the population before one year.
2. What is the present population of the village? 
3. If 3220 people migrated at the beginning of this year, then what will be the population of the village after 2 years at the same growth rate?
    

Two years ago, the population of a village was 5000. During the first year, it is increased by 7% but due to an epidemic, it is decreased by 6% in the following year.

1. Find the population of the village at the end of the first year.
2. What is the population of the village now?
3. If 29 people migrated out at the beginning of this year, find the population of the village after 2 years at 10% p.a. Compound growth. 
    

Two years ago, the population of a village was 4000. During the first year, it is increased by 4% but due to an epidemic, it is decreased by 2% in the following year.

1. Find the population of the village at the end of the first year.
2. What is the population of the village now?
3. If 23 people migrated at the beginning of this year, find the population of the village after 2 years at the rate of 10% p.a. Compound growth.

The population of a town 2 years ago was 31250. The population growth rate of the town is 6%. One year ago, 625 people migrated to the village.

1.  Find the natural population growth after 1 year. 
2. Find the population after 1 year.
3. Find the present population. 
    

3 years ago, a district had a population of 187500 and an annual population growth rate of 2% If at the end of the second year, 2960 people migrated in and 1375 people died due to the epidemic disease, 

1. Find the population of the district at the end of the second year.
2. Find the present population of the district.
3. Find the increased population in the last 3 years.

The growth of curd-clotting bacteria is 5% per hour. If the number of bacteria at the 7 pm evening is $\rm 1.012 × 10^{12}$.

1. What was the number before 4 hours?
2. Find the number of bacteria at 9 pm night.
3. Find the growth number of bacteria in between 4 pm to 7 pm.
    

The growth of curd-clotting bacteria is 4% per hour. If the number of bacteria in the 8 am morning is $\rm 9.15 x 10^{11}$,

1. What was the number before 3 hours?
2. Find the number of bacteria at 10 am morning.
3. Find the growth number of bacteria in between 5 am to 8 am. 

The present population of a city is 200000. If the population of the city increases in the first year by 2% and then 4% and 5% respectively in continuous 3 years,

1. Find the population of the city after 2 years.
2. What will be the population of the city after 3 years? 
3. Find the increased population in the last one year. 
    

The present population of a city is 500000. If the population of the city increases in the first year by 2% and then 4% and 8% respectively in continuous 3 years,

1. Find the population of the city after 2 years.
2. What will be the population of the city after 3 years?
3. Find the increased population in the last one year.

The present price of a motorcycle is Rs 140000. If it depreciates at 7% per year, 

1. What will be the price of the motorcycle after 2 years?
2. Find the amount of depreciation.

The present price of a scooter is Rs 95000. If it depreciates at 6% per year,

1. What will be the price of the scooter after 2 years?
2. Find the amount of depreciation.

The value of a machine depreciates at the rate of 20% p.a. Compound depreciation and the present value are Rs 175000.

1. Find the total compound depreciation after 3 years.
2. Find the price of the machine after 3 years.

The present price of a machine is Rs 50000. If it is depreciated at 8% p.a.,

1. find the compound depreciation after 2 years.
2. Find the price of the machine after 2 years. 
    

A scooter which is supposed to depreciate at the rate of 15% per year was sold at Rs 72000 after a year.

1. At what price was it bought?
2. How much profit or loss did the person make after a year?
3. Find the selling price of the scooter after 2 years.

If the cost of a motorcycle is depreciated at the rate of 10% per annum so that the cost of the motorcycle after 3 years becomes Rs 92583.

1. Calculate the original price of the motorcycle.
2. Find the price of the motorcycle before 1 year.
3. Find the amount of depreciation in the original price in 3 years.

The value of an article is depreciated from Rs 18000 to Rs 14580 in two years,

1. If 'P' is the initial price, R% is the rate of compound depreciation, and '$\rm P_T$' is the price after T years, then write the formula to calculate $\rm P_T$
2. Find the rate of depreciation.
3. Find the price of the article in 3 years at the same rate.

The value of a printer is depreciated from Rs 36000 to Rs 29160 in two years,

1. If 'P' is the initial price, R% is the rate of compound depreciation, and '$\rm P_D$' is the depreciated price after T years, then write the formula to calculate $\rm P_D$.
2. Find the rate of depreciation.
3. Find the price of the printer in 3 years at the same rate.

The value of a house constructed at a cost of Rs 204800 is depreciated at the rate of 12.5% per annum.

1. Find the value of the house in I year.
2. When will be the value of the house be Rs 156800?
3. Find the depreciated amount in 2 years.

The value of a house is Rs 512000. It depreciates $\rm 12\frac {1}{2}$% compounded annually.

1. Find the value of the house in 1 year.
2. When will the value be Rs 343000?
3. Find the depreciated amount in 2 years.
    

A new car costs Rs 360000. Its price depreciates at 10% a year during the first two years and at 20% a year thereafter.

1. What will be the price of the car after 3 years?
2. Find the depreciation amount.
3. Find the overall depreciation rate of the car in 3 years. 
    

The cost of the TV was quoted Rs 17000 at the beginning of the year 2005. At the beginning of the year 2006, the price was hiked by 5%. Because of the decrease in demand, the cost was reduced by 4% at the beginning of the year 2007.

1. What was the cost of the TV in 2007?
2. Find the depreciation amount.
3. Find the overall increment or depreciation rate of the cost of the TV in 2 years.

A company declared to cut off its 10% workers every year due to the low demand in the market. There are 5832 workers recently working in the company.

1. How many workers were there in the company before 3 years?
2. How many workers were cut off in 3 years?
3. Find the ratio of number of workers cut off in 3 years to the number of workers recently working in the company.

A factory declared to cut off its 20% workers every year due to the bad status of the market. There are 5120 workers recently working in the factory.

1. How many workers were there in the factory before 3 years?
2. How many workers were cut off in 3 years?
3. Find the ratio of the number of workers cut of in 3 years to the number of workers recently working in the factory.

The share value of a finance company depreciates by 10% continually until 2 years so that Januka sold some shares at Rs. 4860.

1. Find the value of shares before 2 years.
2. How many shares of Rs. 100 were sold by her?
3. Find her profit or loss percent in this transaction.

The share value of a finance company depreciates by 20% continually until 2 years so that Bimala sold some shares at Rs. 4096.

1. Find the value of shares before 2 years.
2. How many shares of Rs. 100 were sold by her?
3. Find her profit or loss percent in this transaction.

3 years ago, Bharat bought 5 ropani of land at Rs. 280000. Due to the political instability of the country, the price of the land is depreciated. If the price of the land is depreciated 5% p.a.,

1. Find the price of 1 ropani land.
2. What is the price of the land per ropani? 
3. How much loss is made by Bharat in 3 years per ropani? 

3 years ago, Keshav bought 8 ropani of land and Rs. 400000. Due to the earthquake in the country the price of the land is depreciated. If the price of the land is depreciated 10% per annum,

1. Find the price of 1 ropani land.
2. What is the price of the land per ropani?
3. How much loss is made by Keshav in 3 years per ropani?

Purba bought a tractor at Rs. 720000. He earned Rs. 220000 in 3 years from this and earned a price which is depreciated rate of 10%p.a.,

1. Find the selling price of the tractor.
2. What is his profit or loss?
3. Find his total earnings.

Jayaprakash bought a bus at Rs. 1000000. He earned Rs. 400000 in 3 years from this and sold it at a price which is depreciated rate of 20% p.a.,

1. Find the selling price of the bus.
2. Find his total earnings.
3. What is his profit or loss?

In a community jungle, there are 20000 tall trees. Due to energy scarcity, the consumers cut down 8% of trees,

1. Find the number of trees in 2 years.
2. How many trees are cut in 2 years?
3. Can you find an alternative way to solve such problems?
    

In a community jungle, there are 80000 tall trees. In the blockade by India, the consumers cut down 2% of trees for an alternative use of cooking gas,

1. Find the number of trees in 2 years.
2. How many trees are cut down in 2 years?
3. If consumers cut down only 1% of trees then find the number of trees cut by consumers in 2 years.
    

The present price of a machine is Rs. 200000. If the price of the machine depreciates by 15% and then 10% and 5% respectively in continuous 3 years, 

1. What will be the price of the machine after 3 years? 
2. Find the depreciation amount of the machine.
3. Find the overall depreciation rate of the machine in 3 years.

The present price of a machine is Rs. 800000. If the price of the machine depreciates in the first year by 10% and then 20% and 5% respectively in continuous 3 years,

1. What will be the price of the machine after 3 years?
2. Find the depreciation amount of the machine.
3. Find the overall depreciation rate of the machine in 3 years.

Due to the use of medicines, the number of bacteria is decreasing at the rate of 20% per day so the number of bacteria after 4 days is $\rm 1.6 x 10^{8}$.

1. What was the number of bacteria before 4 days? 
2. How many days ago, the number of bacteria was $\rm 2.49984×10^{8}$.
3. How many bacteria decreased on the first day?

Due to the use of medicines, the number of bacteria is decreasing at the rate of 20% per day so the number of bacteria after 3 days is $\rm 2.5 × 10^8$,

1. What was the number of bacteria before 3 days?
2. How many days ago, the number of bacteria was $\rm 3.1232 × 10^8$?
3. How many bacteria decreased on the first day? 

It is given that £ 1 is equal to Rs 157.46. Ram wants to exchange Rs 500000 Sterling and the bank charges its 2% commission.

1. How much Pound Sterling can be received?
2. Find the commission amount.
3. How much Nepali money is required?

It is given that $1 is equal to Rs 132. To visit a foreign country Abdul has to exchange Rs 20000. If the bank charges its 2% commission.

1. How much dollars will he receive?
2. Find the commission amount.
3. How much Nepali money is required?

Fulmaya was traveling to London from the USA. She exchanged \$ 1000 with £ 810 at London. She spent £ 310 in London and came to visit Kathmandu. In Kathmandu, she further exchanged £ 500 into Nepali rupees so that she received Rs 80,000.

1. Find the exchange rate of US \$ and Pound Sterling.
2. Find the exchange rate of Pound Sterling and Nepali currency.
3. Find the exchange rate of \$ 1 and Nepali currency.
4. How much pounds can be exchanged for Rs 15040?

Hurhure lives in the USA. He was traveling to Europe from the USA. He exchanged \$ 1000 with £ 910 in Europe. He spent £ 410 in Europe and came to visit Kathmandu. In Kathmandu, he further exchanged £ 500 into Nepali rupees so that he received Rs 72,500.

1. Find the exchange rate of US \$ and Euro.
2. Find the exchange rate of Euro and Nepali currency.
3. Find the exchange rate of \$ 1 and Nepali currency.
4. How much dollars can be exchanged for Euro 2730?

10 tolas of Tejabi gold bought from the American market at \$ 850 per tola is sold in Nepal at 20000 customs duty charge and 13% VAT.

1. Find the cost price of the gold with 20% customs duty charge.
2. Find the price of the gold in Nepal with 13% VAT.
3. If \$1=Rs 135 what will be the final price of the gold in Nepal?

10 tolas Hallmark gold bought from American market at  \$ 900  per tola is sold in Nepal at 2000 customs duty charge and 13% VAT.

1. Find the cost price of the gold with 20% customs duty charge.
2. Find the price of the gold in Nepal with 13% VAT.
3. If \$ 1 = Rs 135 what will be the final price of the gold in Nepal?

If the selling rate and the buying rate of 1 Pound Sterling (£) are Rs 158 and Rs 157 respectively. Mr. Gorkhe bought Pound Sterling (£) for Rs 49612 and sold it the next day. 

1. Which rate does the bank use to exchange Rs 49,612 into pound sterling? Exchange Rs 26,000 into pound sterling.
2. What will be the new exchange rate if the Nepali money is devaluated by 10%?
3. How much Nepali money can Gorkhe re-exchange?
4. What will be the profit percent?

If the selling rate and the buying rate of 1 US dollar are Rs 131 and Rs 130 respectively. Mr. Pemba bought US dollars for Rs 51,090 and sold it the next day.

1. Which rate does the bank use to exchange Rs 51,090 in US dollars?
2. What will be the new exchange rate if Nepali money is devaluated by 10%?
3. How much Nepali money can Pempa re-exchange? 
4. What will be the profit percent?

An article bought for $\$4 $ is sold with £ 4 and given that $ 1\$ $ =Rs 130 $ and £ 1 = Rs 157

1. Find the cost price in rupees.
2. Find the selling price in rupees.
3. Find the profit amount.
4. Find the profit percent.

Given that Euro 1 = Rs 141 and Pound Sterling 1 = Rs 157. If a headphone bought for Euro 30 is sold for Pound sterling pound 20, then 

1. Find the cost price in NRs.
2. Find the selling price in NRs. 
3. Find the loss amount.
4. Find the loss percent.

500 Bhadgaule caps bought for Rs. 200000 in 3% export tax are sold in Britain after paying 5% export rate. 

1. Find the price of a cap after export tax.
2.  Find the profit amount
3. Find the selling price of a cap in NRs.
4. Find the selling price of each cap in Pound Sterling. [ £ 1 = Rs 157.46 ]

400 Nepali Thanka bought for Rs 400000 in Nepali market is sold in Britain after paying 10% export tax then 200% profit was made,

1. Find the price of a Thanka after export tax.
2. Find the profit amount.
3. Find the selling price of a Thanka in NRs.
4. Find the selling price of each Thanka in Pound Sterling. [£ 1 =Rs 163.44]

A student going to America for study needs $ 2500. If \$ 1 = Rs 130 and the bank charges 2% commission then,

1. Find the Nepali currency of \$ 2500.
2. Find the commission charged by the bank.
3. How much Nepali rupees does he need?
4. If the bank charge 3% commission instead of 2% then how much more does the student need?

A student going to Australia for study needs Australian dollars 3000. If Australian \$ 1= Rs 90.42 and the bank charges 2% commission, then 

1. Find the Nepali currency of Australian \$ 3000.
2. Find the commission charged by the bank.
3. How much Nepali rupees does he need?
4. If the bank charge 4% commission instead of 2% then how much more does the student need?

The plane fare of Nepal Airlines, from Kathmandu to London, in Kathmandu is Rs 90000. If the ticket is bought in London then it costs 800 Euro. [1 Euro = Rs 141.08]

1. Which place is cheaper?
2. By what percentage the place is cheaper?
3. If the Euro is devaluated by 5% then find the cost of ticket bought in London.
4. Which place will be cheaper if the Nepali currency is revaluated by 10%?

The plane fare of Qatar Airlines, from Kathmandu to the USA, in Kathmandu is Rs 120000. If the ticket is bought in the USA then it costs \$ 1400. ).[\$ 1=Rs 130]

1. Which place is cheaper?
2. By what percentage the place is cheaper?
3. If the Euro is devaluated by 5% then find the cost of ticket bought in USA.
4. Which place will be cheaper if the Nepali currency is revaluated by 10%?

Find the foreign exchange rates published by Nepal Rastra Bank for today and compare the exchange with the exchange rates given in this book. Write your conclusion about the value of money.

A retired teacher deposited Rs. 80,000 in own account at the development bank for two years to get half-yearly compound interest at the rate of 10% per annum.

1. How many times the interest is calculated according to the semi-annual compound interest in 2 years? Write it.
2. According to the half-yearly compound interest, what would be the compound interest received by the teacher at the end of 2 years? Find it.
3. According to the same rate of yearly compound interest, in how many years will the compound amount of Rs. 80,000 be Rs. 1,06,480? Find it.

A minibus is purchased for Rs. 40,00,000. After using the bus for three years, Rs. 15,00,000 is earned. The value of the bus depreciates at the rate of 15% per annum and the minibus is sold after three years.

1. If the purchasing price of the bus is Rs. $\rm V_{o}$, the annual rate of compound depreciation is $\rm R$%, and price of the bus after T years is Rs. $\rm v_{t}$, the express $\rm V_{t}$ in terms of $\rm V_{o}, R, \ and \ T$.
2. Find the selling price of the bus after three years.
3. FInd the total profit or loss in percent through the total transaction of that minibus.

A man went to the Bank to exchange American dollars to visit abroad. In that day, according to the money exchange rate, the buying rate of the American Dollar is Rs. 132 and the selling rate is Rs. 133.

1. How many dollars does the man receive while exchanging American dollars with Rs. 332500? Find it.
2. How much Nepali rupees does his friend receive while exchanging American dollars 2800 on the same day? Find it.
3. After 10 days, the selling rate for American dollar 1 becomes Rs. 138.22, then by what percent the Nepali currency was devaluated? Find it.

The population of a village increases every year by 5%. At the end of two years, the total population of the village was 10000. If 1025  were migrated to other places,

1. Find the total population at the end of 2 years.
2. What was the population of the village in the beginning?
3. Find the increased population in 2 years.

A man went to the Bank to exchange American dollars to visit abroad. On that day, according to the money exchange rate, the buying rate of the American Dollar is Rs.132 and the selling rate is Rs.133.

1. How many dollars does the man receive while exchanging American dollars with Rs. 332500? Find it.
2. How much Nepali rupees does his friend receive while exchanging American dollars 2800 on the same day? Find it.
3. After 10 days, the selling rate for American dollar 1 becomes Rs.138.32 then by what percent the Nepali currency was devaluated? Find it.

Rita is a student studying in class 10. Her mother deposited Rs.50,000 for 2 years in fixed deposit of a bank at compound interest compounded annually for her study expenses and the compound amount at the end of one year is Rs. 56,000.

1. For principal Rs. 'P', time T years and rate of interest R% per year, write the formula to find yearly compound amount 'CA'.
2. Find the annual rate of compound interest offered by the bank.
3. What will be the compound amount that Rita gets at the end of 2 years? Find it.

Rajiv has got Rs. 12,00,000. He purchased a motorcycle for Rs. 2,00,000 and a land for Rs. 10,00,000. The price of the motorcycle has been depreciating at a compound rate of 10% for 2 years, while the price of land has been increasing at the compound rate of 12%.

1. Write the formula to calculate compound growth.
2. What will be the price of land after 2 years? Find it.
3. Will the total price of the motorcycle and land after 2 years be Rs.15,00,000? Write with calculation.

A merchant exchanged Rs.7,06,062 with pound sterling (£) at the rate of the pound sterling (£)1 = NRs. 168.11. After one week, the Nepali rupees is devaluated by 2%.

1. What amount of pound sterling (£) does the merchant exchange with the Nepali rupees he had? Find it.
2. What would be the new exchange rate after 2% devaluation of Nepali rupees? Find it.
3. How much rupees will the merchant gain or lose when he exchanged Nepali rupees with the sterling pound at the time of devaluation? Find it.

Dolma is 16 years old now. Her grandfather wants to deposit Rs. 50,000 in a bank so that she will withdraw the whole sum at the age of 18 years. While going to the bank there are two options as follows.

1. Write the formula for finding semi-annual compound interest.
2. If Dolma's grandfather deposits the sum in the bank according to the second option, how much amount will she get? Find it.
3. Which option will you suggest to Dolma's grandfather? Give reason with calculation.

In 2077 B.S. there were 1000 students in a school. A rule that a group of 100 students should bring 10 new students for enrolment was imposed to increase the number of students.

1. What is the rate of annual growth of students to increase the number of students?
2. What was the number of students in the school in 2079 B.S.? Find it.
3. Will the total number of students of the school be 1600 in 2082 B.S.? Justify with calculation.

A man exchanged some Canadian dollars of NRS. 9,72,000 at the exchange rate of 1 CAD ($) = NRS. 97.20 to visit Canada. He canceled his tour due to his health problem, so he exchanged his dollars to Nepali rupees after a week. On that day Nepali currency was devaluated by 2%. 

1. How manyh Canadian dollars did he exchange in the beginning? Find it.
2. Find the new exchange rate after devaluation of Nepalese currency.
3. How much amount did he gain during these transactions? Find it.

Mrs. Sumina wants to invest Rs. 200,000 in a bank for three years. Which of the following plans should she choose tp maximize her return?

Before the devaluation of Nepalese currency by 5%, the exchange rate was USD 1 = NRs 134. What is the exchange rate after devaluation?

Without using formula, find the annual compound interest on: 

1. Rs 10000 at 10$\%$ for 2 years
2. Rs 8000 at 8$\%$ for 3 years
3. Rs 12000 at 5$\%$ for 3 years
4. Rs 15000 at 4$\%$ for 2 years

Using the formula, find the annual compound interest on:

1. Rs 3000 at 10$\%$ for 2 years
2. Rs 4000 at 10$\%$ for 3 years
3. Rs 5000 at 10$\%$ for 3 years
4. Rs 6000 at 10$\%$ for 2 years

Find the semi-annual compound interest of the following:

1. Rs 10000 at 10$\%$ for 2 years
2. Rs 40000 at 12$\%$ for 2 years
3. Rs 50000 at 15$\%$ for $1\frac {1}{2}$ years
4. Rs 20000 at 8$\%$ for $1\frac {1}{2}$ years

Find the Semi-annual compound interest of amount Rs 80,000 at 10$\rm \%$ for 1 year.

Find the Semi-annual compound interest of Rs 10,000 at 14$\rm \%$ for 1 year.

Find the Semi-annual compound interest of amount Rs 75,000 at 15$\rm \%$ for $1\rm \frac {1}{2}$ years.

Find the Semi-annual compound interest of amount Rs 90,000 at 8$\rm \%$ for $1\rm \frac {1}{2}$ years.

Find the quarterly compound interest of Rs 25,000 at 10$\rm \%$ for 1 year.

Find the quarterly compound interest of Rs 30,000 at 10$\rm \%$ for 9 months.

Find the quarterly compound interest of Rs 40,000 at 8$\rm \%$ for 6 months.

Find the quarterly compound interest of Rs 60,000 at 12$\rm \%$ for 12 months.

Find the quarterly compound interest of Rs 16,000 at 10$\rm \%$ for 6 months.

Find the quarterly compound interest of Rs 24,000 at 10$\rm \%$ for 9 months.

Find the quarterly compound interest of Rs 40,000 at 12$\rm \%$ for 1 year.

Find the quarterly compound interest of Rs 50,000 at 15$\rm \%$ for 12 months.

Samundra deposits Rs 850 at NBL at the half-yearly rate of 8$\%$ compound interest for 1 year.

1. How much interest will he get?
2. Find the annual compound interest for the same time.

Sagar deposits Rs 5000 for $1\frac {1}{2}$ years at the annual rate of 10$\rm \%$ in a bank

1. Find the semi-annual compound interest.
2. Find the semi-annual compound amount.

Jharana got Rs 1881 interest of certain sum for 2 years at 9$\rm \%$ compounded yearly.

1. Find the sum.
2. Find the compound amount after 2 years.

The annual compound amount of a sum of money for 2 years at 5$\rm \%$ is Rs 1323.

1. What is the borrowed sum?
2. Find the annual compound interest of 2 years.

At what time the annual compound amount of Rs 60000 at 10$\rm \%$ rate is Rs 79860?

Find the semi-annual compound interest on Rs 60,000 at 10$\rm \%$ p.a. for 1 year.

Find the quarterly compound interest on Rs 60,000 at 10$\rm \%$ p.a. for 1 year.

In how many years the annual compound amount of Rs 5000 at 10$\rm \%$ p.a. is Rs 6050?

Find the semi annual compound interest on Rs 5000 at 10$\rm \%$ p.a. for 1 year. 

Find the quarterly compound interest on Rs 5,000 at 10$\rm \%$ p.a. for 1 year.

A man lent Rs 5000 from a bank at the rate of 12$\rm \%$ p.a. for three years. 

1.  How much simple interest will he receive after 3 years? 
2.  How much annual compound interest will he receive after 3 years? 
3.  Find the difference of annual compound interest and simple interest after 3 years. 
4.  By what percent annual compound interest is more than simple interest? 
    

Ram borrowed Rs 4800 from Shyam at the rate of 10$\rm \%$ per annum. At the end of two years,

1.  How much simple interest will Ram have to pay?
2.  How much annual compound interest will Ram have to pay? 
3.  Find the difference of annual compound interest and simple interest after 3 years.
4. By what percent annual compound interest is more than simple interest?

Hari borrowed Rs 130000 from Krishna at the rate of 21$\rm \%$ per annum. At the end of 1 year and 6 months:

1. How much simple interest will he has to pay? 
2.  How much annual compound interest will he has to pay? 
3.  Find the difference of annual compound interest and simple interest after 3 years
4. Which interest do you suggest Hari to borrow the money? Give reason

Sita borrowed Rs 170000 from Radha at the rate of 21% per annum. At the end of 1 year 6 months:

1. How much simple interest will she has to pay?
2. How much annual compound interest will she has to pay? 
3.  Find the ratio of simple interest and annual compound interest. 
4. Which interest do you suggest Radha to lend the money? Give reason. 
    

Sundar borrowed Rs 7500 from Manish at the rate of 10$\rm \%$ per annum. At the end of 2 years

1.  How much simple interest will he has to pay? 
2. How much annual compound interest will he has to pay?
3.  Find the difference between the annual compound interest and simple interest.
4.  By what percent the annual compound interest is more than simple interest? 
    

Dhurmus lent Rs 12000 from Suntali at the rate of 20$\rm \%$ per annum. At the end of 2 years 

1.  How much simple interest will he has to pay? 
2.  How much annual compound interest will he has to pay ? 
3. Find the difference between the annual compound interest and simple interest. 
4. By what percent annual compound interest is more than simple interest? 
    

The difference between the annual compound interest and the simple interest on a sum of money for 2 years at the interest rate of 20$\rm \%$ per annum is Rs 400. 

1.  Find the sum.
2.  Find the simple interest.
3.  Find the annual compound interest. 
4. Find the ratio of the simple interest and the annual compound interest. 
    

The difference between the annual compound interest and the simple interest on a certain sum at 15$\rm \%$ per annum for 3 years is Rs 283.50. 

1. Find the sum. 
2.  Find the simple interest. 
3.  Find the annual compound interest. 
4. Find the ratio of the simple interest and the annual compound interest.

Mohan deposited Rs 5000 at 8$\rm \%$ p.a. compound interest in a bank. 

1. Find the amount compounded yearly in two years. 
2.  Find the amount compounded half yearly in two years. 
3.  Find the difference between the amounts compounded yearly and half yearly in two years.

Adarsha deposited Rs 4000 at 6$\rm \%$ p.a. compound interest in a bank. 

1.  Find the amount compounded yearly in two years. 
2.  Find the amount compounded half yearly in two years. 
3.  Find the difference between the amounts compounded yearly and half yearly in two years.

The sum of simple interest and compound interest after 2 years is Rs 202.50 and the rate of interest is 5$\rm \%$ per annum. 

1.  Find the principal. 
2.  Find the simple interest. 
3.  Find the annual compound interest. 
4.  By what percent annual compound interest is more than simple interest?

The sum of simple interest and compound interest after 3 years is Rs 504.80 and the rate of interest is 10$\rm \%$ per annum. 

1. Find the principal.
2.  Find the simple interest.
3.  Find the annual compound interest. 
4. By what percent annual compound interest is more than simple interest? 

The simple interest on a sum of money in 2 years is Rs 90 less than its compound interest. If the rate of interest in a year is 15$\rm \%$

1.  Find the sum. 
2.  Find the annual compound interest. 
3.  Find the simple interest. 
4.  Find the time at which both the annual compound interest and the simple interest will be equal. 
    

The compound interest on a sum of money in two years at the rate of 10$\rm \%$ per annum will be Rs 360 more than its simple interest.

1.  Find the sum. 
2. Find the annual compound interest.
3.  Find the simple interest. 
4.  Find the time at which both annual compound interest and simple interest will be equal

Susan borrowed a sum of money at the rate of 5$\rm \%$ simple interest for 2 years and he lent it on annual compound interest at the same rate for the same duration of time. In this transaction if he gained Rs 30 then, 

1. Find the sum borrowed. 
2.  Find the annual compound interest. 
3.  Find the simple interest. 
4.  Find the gain percent of Susan.

A money-lender borrows a certain sum of money at 3$\rm \%$ per annum simple interest and invests the same sum at 5$\rm \%$  per annum compound interest (Compounded annually). After 3 years he makes a profit of Rs 1082. 

1.  Find the amount he borrowed. 
2.  Find the annual compound interest.
3.  Find the simple interest. 
4. Find the gain percent of the money lender.
    

Ram borrowed Rs 4800 from Sita at the rate of 10$\rm \%$ p.a. At the end of one year 

1. How much simple interest will Ram have to pay? 
2. How much compound interest semi-annually will Ram have to pay? 
3.  How much compound interest quarterly will Ram have to pay? 
4.  Find the difference between quarterly compound interest and semi-annual compound interest.

Sarad borrowed Rs 4250 from Shyam at the rate of 12$\rm \%$ per annum. At the end of one year,

1.  How much simple interest will Sarad have to pay? 
2.  How much semi-annual compound interest will Sarad have to pay? 
3.  How much compound interest quarterly will Ram have to pay? 
4.  Find the difference between quarterly compound interest and semi-annual compound interest.

The annual compound interest on a certain sum for 2 years at 10$\rm \%$ per annum is Rs 420. 

1. Find the sum.
2.  What would be the simple interest on the same sum at the same rate for the same time?
3. Find the ratio between the annual compound interest and simple interest. 
4. By what percent annual compound interest is more than the simple interest?

Malati borrowed Rs 5000 from a bank for 2 years at the rate of 20% compounded per annum.

1.  Find the annual compound amount. 
2.  Find the annual compound interest. 
3.  At what time will be the same interest on the same sum at the same rate of simple interest?

According to the system of annual compound interest, a sum of money in 2 years amount Rs 7260 and in 3 years it amounts to Rs 7986.

1.  Find the rate of interest.
2. Find the sum 
3. Find the difference between the annual compound amounts in 2 years and 3 years.
4.  Find the simple interest calculated after second year for next one year write relation between the simple interest and answer obtained in (3).

According to the yearly compound interest, a sum of money amounts to Rs 6050 and Rs 6655 in 3 years. 

1.  What was the rate of interest? 
2. What was the sum? 
3. Find the difference between the annual compound amounts in 2 years and 3 years. 
4.  Find the simple interest calculated after second year for next one year and write relation between the simple interest and answer obtained in (3). 
    

If the sum Rs 8000 amounts to Rs 13824 at 20$\rm \%$ p.a. interest compounded annually, answer the following questions: 

1. Find the time required. 
2.  Find the compound interest at that time 
3.  Find the simple amount of the sum at same rate for same period of time.

If the compound interest payable yearly on Rs 10000 at 10$\rm \%$ p. a. be Rs 3310? 

1.  Find the time required to earn that interest. 
2.  Find the compound amount at that time. 
3.  Find the simple amount of the sum at same rate for same period of time.

The annual compound amount on Rs 576 in 2 years is Rs 625. 

1. Find the compound interest in 2 years.
2.  Find the rate of compound interest. 
3. Find the semi-annual compound amount using the rate found in (2).
4.  Compare the annual compound amount and semi-annual compound amount. 
    

The annual compound amount on Rs 8000 for 3 years is Rs 10648.

1.  Find the compound interest in 3 years.
2.  Find the rate of compound interest.
3. Find the semi-annual compound interest of Rs 8,000 for 2 years using the rate obtained.
4. Find the difference between annual compound amounts in 3 years and 2 years. 
    

A man deposits a sum of money at the annual rate of interest 10$\rm \%$ and gets the annual compound interest of Rs 1986 after 3 years. 

1. What was the deposited principal? 
2.  What is the simple interest of the sum for 3 years?
3.  Find the difference of the annual compound interest and simple interest. 
4.  By what percent the annual compound interest is more than simple interest?

The annual compound interest on a certain sum of money for 2 years at 4$\rm \%$ is Rs 2448.

1. Find the sum.
2. Find the compound amount.
3. In how many years will the simple interest on the same sum of money at 5$\rm \%$ become Rs 2500?
4.  Find the simple amount of the sum at 5$\rm \%$ at time obtained in (3).

Nikita receives the interest Rs 254.40 at the end of 2 years at 12$\rm \%$ annual compound! interest. If the semi-annual compound interest is allowed.

1. Find the sum. 
2.  Find the semi-annual compound interest. 
3.  How much more interest will she receive?

If the semi-annual compound interest on Rs 8000 for $1\rm \frac {1}{2}$ years is Rs 2648. 

1. Find the interest rate. 
2. What is the simple interest of the sum at the same rate and time?
3. If the interest rate is reduced to half, then what happens to the simple interest at the same time?

The simple interest on a certain sum of money for 2 years at 5$\rm \%$ per annum is Rs 320.

1. Find the principal 
2. What will be the annual compound interest on the same sum at the same rate, the interest being calculated yearly for 2 years?
3.  Find the semi-annual compound interest for 2 years.

A sum of money amounts to Rs 1800 at the rate of 5$\rm \%$ p.a. simple interest in 10 years 

1. Find the sum. 
2. Find the annual compound amount for 2 years at the same rate of interest.
3.  Calculate quarterly year compound interest for 1 year at the same rate.

Bimal deposits Rs 15000 in Sita Finance company and Rs 15000 in Lumbini Finance company at the rate of 12$\rm \%$ per annum. Sita Finance company pays interest compounded half yearly and Lumbini Finance company pays interest compounded yearly. Calculate the interest paid by,

1.  Sita Finance in 2 years.
2.  Lumbini Finance in 2 years. 
3. As a depositor, which finance is best to earn more interest? 
    

A invested Rs 4500 for 3 years at the rate of 8$\rm \%$ annual compound interest and B invested the same amount for the same time at the rate of per month per rupee 1 paisa simple interest. Calculate,

1.  The interest received by A.
2.  The interest received by B.
3.  Who earned more interest?

Compound interest on a sum of money for 2 years compounded annually is Rs 8034. Simple interest on the same sum for the same period and at the same rate is Rs 7800.

1.  Find the sum.
2.  Find the rate of interest.
3.  In how many years annual compound interest on the same sum at the same rate be Rs 15600?

Compound interest on a sum of money for 2 years compounded annually is Rs 1680. Simple interest on the same sum for the same period and at the same rate is Rs 1600.

1.  Find the sum.
2. Find the rate of interest.
3.  In how many years annual compound interest on the same sum at the same rate be Rs 3200?

The difference between the semi-annual compound interest and the annual compound interest on a sum of money for 2 years at the interest rate of 20$\rm \%$ per annum is Rs 482.

1.  Find the sum.
2. Find the semi-annual compound interest.
3. Find the annual compound interest.

The difference between the semi-annual compound interest and the annual compound interest on a sum of money for 2 years at the interest rate of 20$\rm \%$ per annum is Rs 241.

1.  Find the sum.
2. Find the semi-annual compound interest.
3. Find the annual compound interest. 
    

A sum of money Rs 25000 compounded annually for 2 years. The rates of interest for two years are 10$\rm \%$ and 12$\rm \%$  respectively.

1.  Find the amount compounded annually.
2.  Find the total compound interest.
3. If the single rate of interest is an average of 10$\rm \%$  and 12$\rm \%$  i.e. 11$\rm \%$  is used, then find the annual compound amount of the sum. 
4. Which of the compound amounts (1) or (3) is more?

A sum of money Rs 40000 compounded annually for 2 years at the rates of interest for the years 10$\rm \%$ and 15$\rm \%$ respectively. 

1.  Find the amount compounded annually
2. Find the total compound interest.
3.  If the single rate of interest of 12$\rm \%$ is used to calculate the annual compound amount and the sum, then find the new compound amount. 
    

The difference between the annual compound interest for 2 years and the quarterly compound interest for 1 year on a sum of money at the interest rate of 20$\rm \%$ per annum is Rs 6285.825.

1.  Find the sum. 
2. Find the annual compound interest
3.  Find the quarterly compound interest.

The difference between the annual compound interest for 2 years and the quarterly compound interest for 1 year on a sum of money at the interest rate of 15$\rm \%$ per annum is Rs 2457.74

1. Find the sum.
2. Find the annual compound interest
3. Find the quarterly compound interest.

Manita is planning to deposit Rs 40000 for 9 months, at 10$\rm \%$ per annum in a bank. 

1. If bank A provides semi-annual compound interest then find the semi-annual compound interest. 
2. If another bank B provides quarterly-based compound interest then find the quarter compound interest.
3. What is the difference between interests in (1) and (2)?
4.  Which bank is preferable for deposit and why? 
    

Arohi is planning to deposit Rs 16000 in a foreign bank which pays interest at the rate 10$\rm \%$ per annum.

1. If Bank A provides semi-annual compound interest then find the semi-annual compound interest after 1 year.
2.  If another bank B provides quarterly compound interest then find the quarterly compound interest after I year.
3. Which bank is preferable for deposit and why? 
    

Pushpa is planning to deposit his money Rs 4,00,000 in a bank for 1 year and visited 3 banks and found the interest rates as follows: 

Bank A: Annual compound interest at the rate of 16$\rm \%$. 

Bank B: Semi-annual compound interest at the rate of 15$\rm \%$.

 Bank C: Quarterly compound interest at the rate of 14$\rm \%$.

1. How much interest does Bank A provide? 
2. How much interest does Bank B provide?
3.  How much interest does Bank C provide?
4. Which bank is preferable for deposit?

Pushpanjali is planning to borrow a loan of Rs 5,00,000 from a bank for 1 year and visited 3 banks and found the interest rates as follows: 

Bank A: Rate of interest 10.5$\rm \%$. It is compounded in each year. 

Bank B: Rate of interest 10$\rm \%$. It is compounded in each 6 months. 

Bank C: Rate of interest 9.5$\rm \%$. It is compounded in each 3 months.

1. How much interest does Bank A charge?
2. How much interest does Bank B charge?
3. How much interest does Bank C charge?
4. Which bank is preferable for loan borrowing?

The present population of a town is 64000 and it increases at the rate of 5% per annum.

1. What will be the population of the town after two years?
2. What will be the increased population in 2 years?
3. What was the population before 2 years at the same rate?
4. By what percentage is the population after 2 years more than the population before two years? 

The population of a town increases at the rate of 5% per annum. The present population of the town is 67200.

1. What will be the population of the town after two years?
2. What will be the growth population after 2 years?
3. What was the population before 2 years at the same rate?
4. By what percentage is the population after 2 years more than the population before two years?

The population of a town in the year 2021 was 425000. 

1. Find its population in the year 2023 if the annual compound growth rate of the population is 4% per year.
2. Find the increased population from 2021 to 2023.
3. Find the population of the town in the year 2019 using same rate of population growth.

The population of a town in the year 2020 was 150000.

1. Find its population in the year 2023 if the annual compound growth rate of the population is 5% per year.
2. Find the increased population from 2020 to 2023.
3. Find the population of the town in the year 2018.

Two years ago, the population of a village was 15000 and the rate of population growth was 4% p.a.

1. What is the present population of the village? 
2. Find the population of the town after 2 years.

2 years ago, the population of a town was 120000. If the rate of growth of the population is 3% p.a.

1. What is the present population of the town?
2. Find the population of the town after 2 years. 
    

The present population of Nagarkot is 48400. The annual growth rate is 10%.

1. What was the population of Nagarkot before 2 years?
2. Find the population growth in the last two years.
3. If 1600 people migrated in now, then find the population of Nagarkot after two years at the same annual growth rate. 
    

The present population of Salyankot is 17496. The annual growth rate is 8%.

1. What was the population of Salyankot before 2 years?
2.  Find the population growth in two years. 
3. If 2504 people migrated in, then find the population of Salyankot after 2 years at the same annual growth rate.

The population of a village was 7200. If 5% of the population migrated in and 2% died due to different causes within a year, 

1. Find the number of people who migrated in that year.
2. Find the number of people who died that year.
3. What would be the population of the village after a year?

The population of a place was 2000, Within a year, the population has increased by 3% of birth rate and 2% by migration.

1. Find the number of new births.
2. Find the number of people who migrated in that year. 
3. How much population is there now? 
    

The present population of Ghandruk village is 13310 and the rate of growth is 10%

1. If 'P' is the present population, R% is the growth rate, and $\rm P_T$, is the population after "T years write the formula to calculate the increased population.
2. How many years ago the population was 10000 at the same growth rate?
3. If 310 people migrated out at the beginning of this year, find the population of the village at the end of next year.

The present population of Katunje village is 18150 and the rate of growth is 10%

1. If 'P' is the present population, R% is the growth rate, and $\rm P_T$, is the population after "T' year write the formula to calculate the increased population.
2. How many years ago the population was 15000?
3. If 150 people migrated out at the beginning of this year, find the population village at the end of next year. 
    

One year ago, the population of a village was 10000. The population at present is 1021

1. Find the population growth rate.
2. Find the population after 1 year at the same growth rate.
3. Find the population of the village 2 years ago at the same growth rate.

One year ago, the population of a village was 10000. The population at present is 9780

1.  Find the population decreasing rate.
2. Find the population after 1 year.
3. Find the population of the village 2 years ago. 

The population of Dhading Bensi increases by 10% every year. If the present population is 60000.

1. Find its population after 2 years.
2. Find its population before two years.
3. Find the growth in population in 4 years.

The population of a town increases every year by 4%. At the end of two years, the population of the village was 10000. If 1025 were migrated to other places, 

1. Find the total population at the end of 2 years.
2.  What was the population of the village in the beginning?
3. Find the increased population in 2 years. 

The population of a town increases every year by 10%. At the end of two years, the population of the town was 30000. If 5800 people were added by migration,

1. Find the total population at the end of 2 years.
2. What was the population of the town in the beginning? 
3. Find the increased population in 2 years.
    

The population of Kathmandu Valley was 1000000 in the year 2057 and the population growth rate was 4.5%. If 25000 men migrated here from other places at the beginning of the year 2058.

1. Find the population of the Kathmandu Valley at the beginning of 2058 BS.
2. What will be the total population at the beginning of the year 2060?
3. Find the growth of the migrated population in 2 years. 

3 years ago, the population of a village was 25000. The rate of population growth is 3%. One year ago, 522 people died of epidemic disease, 

1. Find the population before one year.
2. What is the present population of the village? 
3. If 3220 people migrated at the beginning of this year, then what will be the population of the village after 2 years at the same growth rate?
    

Two years ago, the population of a village was 5000. During the first year, it is increased by 7% but due to an epidemic, it is decreased by 6% in the following year.

1. Find the population of the village at the end of the first year.
2. What is the population of the village now?
3. If 29 people migrated out at the beginning of this year, find the population of the village after 2 years at 10% p.a. Compound growth. 
    

Two years ago, the population of a village was 4000. During the first year, it is increased by 4% but due to an epidemic, it is decreased by 2% in the following year.

1. Find the population of the village at the end of the first year.
2. What is the population of the village now?
3. If 23 people migrated at the beginning of this year, find the population of the village after 2 years at the rate of 10% p.a. Compound growth.

The population of a town 2 years ago was 31250. The population growth rate of the town is 6%. One year ago, 625 people migrated to the village.

1.  Find the natural population growth after 1 year. 
2. Find the population after 1 year.
3. Find the present population. 
    

3 years ago, a district had a population of 187500 and an annual population growth rate of 2% If at the end of the second year, 2960 people migrated in and 1375 people died due to the epidemic disease, 

1. Find the population of the district at the end of the second year.
2. Find the present population of the district.
3. Find the increased population in the last 3 years.

The growth of curd-clotting bacteria is 5% per hour. If the number of bacteria at the 7 pm evening is $\rm 1.012 × 10^{12}$.

1. What was the number before 4 hours?
2. Find the number of bacteria at 9 pm night.
3. Find the growth number of bacteria in between 4 pm to 7 pm.
    

The growth of curd-clotting bacteria is 4% per hour. If the number of bacteria in the 8 am morning is $\rm 9.15 x 10^{11}$,

1. What was the number before 3 hours?
2. Find the number of bacteria at 10 am morning.
3. Find the growth number of bacteria in between 5 am to 8 am. 

The present population of a city is 200000. If the population of the city increases in the first year by 2% and then 4% and 5% respectively in continuous 3 years,

1. Find the population of the city after 2 years.
2. What will be the population of the city after 3 years? 
3. Find the increased population in the last one year. 
    

The present population of a city is 500000. If the population of the city increases in the first year by 2% and then 4% and 8% respectively in continuous 3 years,

1. Find the population of the city after 2 years.
2. What will be the population of the city after 3 years?
3. Find the increased population in the last one year.

The present price of a motorcycle is Rs 140000. If it depreciates at 7% per year, 

1. What will be the price of the motorcycle after 2 years?
2. Find the amount of depreciation.

The present price of a scooter is Rs 95000. If it depreciates at 6% per year,

1. What will be the price of the scooter after 2 years?
2. Find the amount of depreciation.

The value of a machine depreciates at the rate of 20% p.a. Compound depreciation and the present value are Rs 175000.

1. Find the total compound depreciation after 3 years.
2. Find the price of the machine after 3 years.

The present price of a machine is Rs 50000. If it is depreciated at 8% p.a.,

1. find the compound depreciation after 2 years.
2. Find the price of the machine after 2 years. 
    

A scooter which is supposed to depreciate at the rate of 15% per year was sold at Rs 72000 after a year.

1. At what price was it bought?
2. How much profit or loss did the person make after a year?
3. Find the selling price of the scooter after 2 years.

If the cost of a motorcycle is depreciated at the rate of 10% per annum so that the cost of the motorcycle after 3 years becomes Rs 92583.

1. Calculate the original price of the motorcycle.
2. Find the price of the motorcycle before 1 year.
3. Find the amount of depreciation in the original price in 3 years.

The value of an article is depreciated from Rs 18000 to Rs 14580 in two years,

1. If 'P' is the initial price, R% is the rate of compound depreciation, and '$\rm P_T$' is the price after T years, then write the formula to calculate $\rm P_T$
2. Find the rate of depreciation.
3. Find the price of the article in 3 years at the same rate.

The value of a printer is depreciated from Rs 36000 to Rs 29160 in two years,

1. If 'P' is the initial price, R% is the rate of compound depreciation, and '$\rm P_D$' is the depreciated price after T years, then write the formula to calculate $\rm P_D$.
2. Find the rate of depreciation.
3. Find the price of the printer in 3 years at the same rate.

The value of a house constructed at a cost of Rs 204800 is depreciated at the rate of 12.5% per annum.

1. Find the value of the house in I year.
2. When will be the value of the house be Rs 156800?
3. Find the depreciated amount in 2 years.

The value of a house is Rs 512000. It depreciates $\rm 12\frac {1}{2}$% compounded annually.

1. Find the value of the house in 1 year.
2. When will the value be Rs 343000?
3. Find the depreciated amount in 2 years.
    

A new car costs Rs 360000. Its price depreciates at 10% a year during the first two years and at 20% a year thereafter.

1. What will be the price of the car after 3 years?
2. Find the depreciation amount.
3. Find the overall depreciation rate of the car in 3 years. 
    

The cost of the TV was quoted Rs 17000 at the beginning of the year 2005. At the beginning of the year 2006, the price was hiked by 5%. Because of the decrease in demand, the cost was reduced by 4% at the beginning of the year 2007.

1. What was the cost of the TV in 2007?
2. Find the depreciation amount.
3. Find the overall increment or depreciation rate of the cost of the TV in 2 years.