Class 10 Compound Interest Exercise 2 Solutions | Maths Links Readmore Publishers & Distributors

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?

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.