# FRANK Solutions for Class 10 Maths Chapter 1 - Compound Interest

## Chapter 1 - Compound Interest Exercise Ex. 1.1

Question 1

Solution 1

Question 2

Solution 2

Question 3

Solution 3

Question 4

Solution 4

Question 5

Solution 5

Question 6

Solution 6

Question 7

Solution 7

Question 8

Solution 8

Question 9

Solution 9

Question 10

Solution 10

Question 11

Solution 11

Question 12

Solution 12

Question 13

Solution 13

Question 14

Solution 14

Question 15

Solution 15

## Chapter 1 - Compound Interest Exercise Ex. 1.2

Question 1

Solution 1

Question 2

Solution 2

Question 3

Mohan borrowed Rs 25,000 at 10% p.a. compound interest. If he pays back Rs 7,500 every year, find the amount of loan outstanding at the beginning of the fourth year.

Solution 3

Question 4

Rajan borrowed Rs 90,000 at 15% p.a. compound interest. If he repays Rs 35,000 at the end of each year, find the amount of loan outstanding at the beginning of the fourth year.

Solution 4

Question 5

Pooja borrowed Rs 15,000 from Sonali at 11% p.a. compound interest. If she repays Rs 7,550 at the end of first year and Rs 6,101 at the end of second year, find the amount Pooja needs to give to Sonali at the end of third year to clear her debt.

Solution 5

Question 6

Archana borrowed Rs 18,000 from Ritu at 12% p.a. compound interest. If at the end of the 1

^{st}, 2^{nd}, and 3^{rd}years, Archana returned Rs 5,250, Rs 5,875 and Rs 6,875 respectively, find the amount Archana has to pay Ritu at the end of the 4^{th}year to clear her debt.Solution 6

Question 7

Rajeev borrowed Rs 15,000 from Sanjay at 12% p.a. compound interest. After 2 years Rajeev gave Rs 7,500 and a scooter to clear the account. Find the cost of the scooter.

Solution 7

Question 8

Manoj borrowed Rs 25,000 from Sohan at 8.4 % p.a. compound interest. After 2 years Manoj cleared Rs 17,500 and a motorcycle. Find the cost of the motorcycle.

Solution 8

Question 9

Prakash borrowed Rs 10,000 from Rajesh for 2 years at 6% and 8% p.a. compound interest for successive years. If Prakash returns Rs 5,600 at the end of the first year, how much does he have to give to Rajesh at the end of the second year to clear the loan?

Solution 9

Question 10

Meera borrowed Rs 12,500 on compound interest from Rajeev for 2 years when the rates of interest for successive years were 8% and 10%. If Meera returned Rs 7,500 at the end of the first year, find the amount she has to return at the end of the second year.

Solution 10

## Chapter 1 - Compound Interest Exercise Ex. 1.3

Question 1

What sum of money will amount to Rs 9,447.84 in 3 years at 8% p.a. compound interest?

Solution 1

Question 2

The value of a car depreciated by 10% in the first 2 years and by 8% in the third year. Express the total depreciation of the car as a single per cent during the three years.

Solution 2

Question 3

The value of a machine depreciates by 10%, 12% and 15% in the first 3 years. Express the total depreciation of the machine as a single per cent during the three years.

Solution 3

Question 4

The value of a scooter depreciates by 12% of its value at the beginning of the year. Find the original value of the scooter if it depreciated by Rs 2,640 in the second year.

Solution 4

Question 5

The value of a refrigerator depreciates by 8% of its value at the beginning of the year. Find the original value of the refrigerator if it depreciated by Rs 2,392 in the second year.

Solution 5

Question 6

The value of a machine depreciates by 15% in the first year and by 12% in the second year. Find the value of the machine if its depreciation in the second year was Rs 1,632.

Solution 6

Question 7

The value of a 'Honda' bike depreciated by 16% in the first year and by 13% in the second year. Find the value of the bike if it depreciated by Rs 7,098 in the second year.

Solution 7

Question 8

What sum of money will amount to Rs 16,637.50 in 3 years at 10 % p.a. compound interest?

Solution 8

Question 9

What sum of money will amount to Rs 7,128 in 2 years at compound interest, if the rates of interest are 8% and 10% for successive years?

Solution 9

Question 10

What sum of money will amount to Rs 3,326.40 in 3 years at compound interest, if the rates of interest are 8%, 10% and 12% for the successive years?

Solution 10

Question 11

What sum of money will amount to Rs 13,675.20 in 3 years at compound interest, if the rates of interest are 10%, 11% and 12% for the successive years?

Solution 11

Question 12

Ramesh saves Rs 4,000 every year and invests it at 10% p.a. compound interest. Calculate his savings at the end of the third year.

Solution 12

Question 13

Manoj saves Rs 5,000 every year and invests it at 12% p.a. compound interest. Calculate his savings at the end of the third year.

Solution 13

Question 14

A man's savings increases by Rs 50 every year. If he saves Rs 500 in the first year and puts it at 10% compound interest, find his savings at the end of the third year.

Solution 14

Question 15

Neena's savings increases by Rs 1,000 every year. If she saves Rs 4,000 in the first year and invests it at 15% compound interest, find her total savings at the end of the third year.

Solution 15

## Chapter 1 - Compound Interest Exercise Ex. 1.4

Question 1

Mohan invested a certain sum at compound interest, compounded annually. If the interests for two successive years were Rs 600 and Rs 648, calculate the rate of interest and the sum invested.

Solution 1

Question 2

Meera borrowed Rs 35,000 at 12.5% p.a. simple interest for 3 years. She immediately gave it to Archana at 12 % p.a. compound interest compounded annually. Find Meera's loss or gain at the end of 3 years.

Solution 2

Question 3

Solution 3

Question 4

Solution 4

Question 5

The interests on two successive years for a sum invested at compound interest compounded annually are Rs 840 and Rs 940.80. Calculate the rate of interest and the sum invested.

Solution 5

Question 6

The simple interest on a certain sum in 2 years is Rs 1,300, whereas the compound interest on the same sum at the same rate and for the same time is Rs 1,365. Find the rate per cent and the sum.

Solution 6

Question 7

The simple interest and the compound interest on a certain sum of money for 2 years at the same rate of interest are Rs 8,000 and Rs 8,640 respectively. Calculate the rate of interest and the sum.

Solution 7

Question 8

A certain sum of money invested at compound interest compounded annually amounted to Rs 5,082 after 2 years and to Rs 5,590.20 after 3 years. Calculate the rate of interest and the sum invested.

Solution 8

Question 9

A certain sum of money invested at compound interest compounded annually amounted to Rs 26,450 in 2 years and to Rs 30,417.50 in 3 years. Calculate the rate of interest and the sum invested.

Solution 9

Question 10

Find the difference between the compound interest and the simple interest in 2 years on Rs 5,000 at 8% p.a. compounded annually.

Solution 10

Question 11

Find the difference between the compound interest and the simple interest in 3 years on Rs 15,000 at 8% p.a. compounded yearly.

Solution 11

Question 12

Solution 12

## Chapter 1 - Compound Interest Exercise Ex. 1.5

Question 1

Ramesh borrowed Rs 12,000 at 15% compound interest for 2 years. At the end of the first year he returned some amount and on paying Rs 9,200 at the end of the second year, he cleared the loan. Calculate the amount of money Ramesh returned at the end of the first year.

Solution 1

Question 2

Rajan borrowed Rs 32,000 at 12% compound interest for 2 years. At the end of the first year he returned some amount and on paying Rs 17,920 at the end of the second year, he cleared the loan. Calculate the amount Rajan paid at the end of the first year

Solution 2

Question 3

Find the sum invested at 8% p.a. compound interest on which the interest for the third year exceeds that of the first year by Rs 166.40.

Solution 3

Question 4

Solution 4

Question 5

The simple interest on an amount for 2 years at 8% is Rs 320. Calculate the compound interest on the same amount at the same rate for 1 year if the interest is compounded half-yearly.

Solution 5

## Chapter 1 - Compound Interest Exercise Ex. 1.6

Question 1

Solution 1

Question 2

On what sum of money will the compound interest for 2 years at 8% per annum amount to Rs 1399.68?

Solution 2

Question 3

Solution 3

Question 4

Solution 4

Question 5

Solution 5

Question 6

On what sum of money will the compound interest for 2 years at 10% p.a. compounded half-yearly amount to Rs 3,448.10?

Solution 6

Question 7

Calculate the rate per cent at which Rs 12,250 will yield Rs 3,116.40 as compound interest in 2 years.

Solution 7

Question 8

Calculate the rate per cent at which Rs 15,000 will yield Rs 8,413.44 as compound interest in 3 years.

Solution 8

Question 9

Calculate the rate per cent at which Rs 16,000 will yield Rs 3,876.75 as compound interest in 3 years.

Solution 9

Question 10

In what time will Rs 8,000 amount to Rs 12,167 at 15% per annum compounded annually?

Solution 10

Question 11

In what time will Rs 50,000 yield an interest of Rs 32,151.60 at 18% per annum interest compounded annually?

Solution 11

Question 12

Solution 12

Question 13

Solution 13

Question 14

On what sum will the difference between compound interest and the simple interest for 3 years at 12% be Rs 1,123.20?

Solution 14

Question 15

A sum of money placed at compound interest compounded annually amounts to Rs 47,610 in 2 years and to Rs 54,751.50 in 3 years. Calculate the rate of interest and the sum.

Solution 15

Question 16

A sum of money placed at compound interest compounded annually amounts to Rs 31,360 in 2 years and to Rs 35,123.20 in 3 years. Calculate the rate of interest and the sum.

Solution 16

Question 17

A sum of money placed at compound interest compounded annually amounts to Rs 26,460 in 2 years and to Rs 29,172.15 in 4 years. Calculate the rate of interest and the sum.

Solution 17

Question 18

The compound interest on a certain sum of money at 5% p.a. for 2 years is Rs 512.50. What will be the simple interest on the same sum for 3 years at 6% p.a.?

Solution 18

Question 19

The compound interest on a certain sum of money at 10% p.a. for 3 years is Rs 4,965. What will be the simple interest on the same sum for 3 years at 11% p.a.?

Solution 19

Question 20

Solution 20

Question 21

Solution 21

Question 22

What sum of money will amount to Rs 8,073 in 2 years at compound interest if the rates of interest for the successive years are 15% and 17%?

Solution 22

Question 23

Find the principal which will amount to Rs 22,344 in 2 years at compound interest if the rates of interest for the successive years are 12% and 14%?

Solution 23

Question 24

What sum of money will amount to Rs 10,256.40 in 3 years at compound interest if the rates of interest for the successive years are 10%, 11% and 12%?

Solution 24

Question 25

Solution 25

Question 26

What sum of money will amount to Rs 15,746.40 at 16% p.a. compounded half-yearly?

Solution 26

## Chapter 1 - Compound Interest Exercise Ex. 1.7

Question 1

The population of a town in the year 2005 was 4, 25,000. Find its population in the year 2007 if the rate of annual increase is 4% per year.

Solution 1

Question 2

The value of a property decreases every year at the rate of 5%. If its value at the end of 3 years be Rs 44,540, what was the original value at the beginning of these 3 years?

Solution 2

Question 3

The value of the refrigerator which was purchased 2 years ago, depreciates at 12% per annum. If its present value is Rs 9,680. For how much was it purchased?

Solution 3

Question 4

A building worth Rs 1, 33,100 is constructed on a plot of land worth Rs 72,900. After how many years will the values of both be same, if the land appreciates at 10% p.a. and the building depreciates at 10% p.a.?

Solution 4

Question 5

The cost of a T.V. was quoted Rs 17,000 at the beginning of the year 1999. In the beginning of 2000 the price was hiked by 5%. Because of decrease in demand the cost was reduced by 4% in the beginning of 2001. What is the cost of the T.V. in 2001?

Solution 5

Question 6

A mango tree was planted 3 years ago. The rate of growth is 20% per annum. If at present, the height of the tree is 1 m 8 cm, how high was it when planted?

Solution 6

Question 7

The population of a city is 1, 25,000. If the annual birth rate and death rate are 5.5% and 3.5% respectively, calculate the population of the city after 3 years.

Solution 7

Question 8

The population of a village increases at the rate of 50 per thousand. Its population after 2 years will be 22,050. Find the present population.

Solution 8

Question 9

In a factory the production of scooters rose to 46,305 from 40,000 in 3 years. Find the annual rate of growth of the production of scooters.

Solution 9

Question 10

Solution 10

Question 11

A machine was purchased 2 years ago. Its value decreases by 10% every year. Its present value is Rs 19,083.60. For how much money was the machine purchased?

Solution 11

Question 12

The population of a city is 24,000. In the next 3 years it will be 27,783. Find the rate of growth of the population.

Solution 12

Question 13

Under the electrification programme of villages, the number of villages with electricity rose to 27,040 from 25,000 in 2 years. Find the rate of growth in the number of villages with electricity.

Solution 13

Question 14

A new car is purchased for Rs 4, 00,000 .Its value depreciates at the rate of 10% per annum. What will be its value after 4 years?

Solution 14

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