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# RD Sharma solutions for Class 8 Maths chapter 14 - Compound Interest

## Chapter 14: Compound Interest

Ex. 14.1Ex. 14.2Ex. 14.3Ex. 14.4Ex. 14.5

#### RD Sharma solutions for Class 8 Maths Chapter 14 Exercise 14.1 [Pages 4 - 5]

Ex. 14.1 | Q 1 | Page 4

Find the compound interest when principal = Rs 3000, rate = 5% per annum and time = 2 years.

Ex. 14.1 | Q 2 | Page 4

What will be the compound interest on Rs 4000 in two years when rate of interest is 5% per annum?

Ex. 14.1 | Q 3 | Page 4

Rohit deposited Rs 8000 with a finance company for 3 years at an interest of 15% per annum. What is the compound interest that Rohit gets after 3 years?

Ex. 14.1 | Q 4 | Page 4

Find the compound interest on Rs 1000 at the rate of 8% per annum for $1\frac{1}{2}$ years when interest is compounded half-yearly.

Ex. 14.1 | Q 5 | Page 4

Find the compound interest on Rs 160000 for one year at the rate of 20% per annum, if the interest is compounded quarterly.

Ex. 14.1 | Q 6 | Page 5

Swati took a loan of Rs 16000 against her insurance policy at the rate of $12\frac{1}{2} %$ per annum. Calculate the total compound interest payable by Swati after 3 years.

Ex. 14.1 | Q 7 | Page 5

Roma borrowed Rs 64000 from a bank for $1\frac{1}{2}$ years at the rate of 10% per annum. Compute the total compound interest payable by Roma after $1\frac{1}{2}$  years, if the interest is compounded half-yearly.

Ex. 14.1 | Q 8 | Page 5

Mewa Lal borrowed Rs 20000 from his friend Rooplal at 18% per annum simple interest. He lent it to Rampal at the same rate but compounded annually. Find his gain after 2 years.

Ex. 14.1 | Q 9 | Page 5

Find the compound interest on Rs 8000 for 9 months at 20% per annum compounded quarterly.

Ex. 14.1 | Q 10 | Page 5

Find the compound interest at the rate of 10% per annum for two years on that principal which in two years at the rate of 10% per annum gives Rs 200 as simple interest.

Ex. 14.1 | Q 11 | Page 5

Find the compound interest on Rs 64000 for 1 year at the rate of 10% per annum compounded quarterly.

Ex. 14.1 | Q 12 | Page 5

Ramesh deposited Rs 7500 in a bank which pays him 12% interest per annum compounded quarterly. What is the amount which he receives after 9 months.

Ex. 14.1 | Q 13 | Page 5

Anil borrowed a sum of Rs 9600 to install a handpump in his dairy. If the rate of interest is $5\frac{1}{2} %$ per annum compounded annually, determine the compound interest which Anil will have to pay after 3 years.

Ex. 14.1 | Q 14 | Page 5

Surabhi borrowed a sum of Rs 12000 from a finance company to purchase a refrigerator. If the rate of interest is 5% per annum compounded annually, calculate the compound interest that Surabhi has to pay to the company after 3 years.

Ex. 14.1 | Q 15 | Page 5

Daljit received a sum of Rs. 40000 as a loan from a finance company. If the rate of interest is 7% per annum compounded annually, calculate the compound interest that Daljit pays after 2 years.

#### RD Sharma solutions for Class 8 Maths Chapter 14 Exercise 14.2 [Pages 14 - 15]

Ex. 14.2 | Q 1.1 | Page 14

Compute the amount and the compound interest in  the following by using the formulae when:
Principal = Rs 3000, Rate = 5%, Time = 2 years

Ex. 14.2 | Q 1.2 | Page 14

Compute the amount and the compound interest in  the following by using the formulae when:
Principal = Rs 3000, Rate = 18%, Time = 2 years

Ex. 14.2 | Q 1.3 | Page 14

Compute the amount and the compound interest in  the following by using the formulae when:
Principal = Rs 5000, Rate = 10 paise per rupee per annum, Time = 2 years

Ex. 14.2 | Q 1.4 | Page 14

Compute the amount and the compound interest in  the following by using the formulae when:
Principal = Rs 2000, Rate = 4 paise per rupee per annum, Time = 3 years

Ex. 14.2 | Q 1.5 | Page 14

Compute the amount and the compound interest in  the following by using the formulae when:
Principal = Rs 12800, Rate = $7\frac{1}{2} %$, Time = 3 years

Ex. 14.2 | Q 1.6 | Page 14

Compute the amount and the compound interest in  the following by using the formulae when:
Principal = Rs 10000, Rate 20% per annum compounded half-yearly, Time = 2 years

Ex. 14.2 | Q 1.7 | Page 14

Compute the amount and the compound interest in  the following by using the formulae when:
Principal = Rs 160000, Rate = 10 paise per rupee per annum compounded half-yearly, Time = 2 years.

Ex. 14.2 | Q 2 | Page 14

Find the amount of Rs 2400 after 3 years, when the interest is compounded annually at the rate of 20% per annum.

Ex. 14.2 | Q 3 | Page 14

Rahman lent Rs 16000 to Rasheed at the rate of $12\frac{1}{2} %$ per annum compound interest. Find the amount payable by Rasheed to Rahman after 3 years.

Ex. 14.2 | Q 4 | Page 14

Meera borrowed a sum of Rs 1000 from Sita for two years. If the rate of interest is 10% compounded annually, find the amount that Meera has to pay back.

Ex. 14.2 | Q 5 | Page 14

Find the difference between the compound interest and simple interest. On a sum of Rs 50,000 at 10% per annum for 2 years.

Ex. 14.2 | Q 6 | Page 15

Amit borrowed Rs 16000 at $17\frac{1}{2} \%$ per annum simple interest. On the same day, he lent it to Ashu at the same rate but compounded annually. What does he gain at the end of 2 years?

Ex. 14.2 | Q 7 | Page 15

Find the amount of Rs 4096 for 18 months at

$12\frac{1}{2} \%$ per annum, the interest being compounded semi-annually.
Ex. 14.2 | Q 8 | Page 15

Find the amount and the compound interest on Rs 8000 for $1\frac{1}{2}$ years at 10% per annum, compounded half-yearly.

Ex. 14.2 | Q 9 | Page 15

Kamal borrowed Rs 57600 from LIC against her policy at $12\frac{1}{2} \%$ per annum to build a house. Find the amount that she pays to the LIC after $1\frac{1}{2}$ years if the interest is calculated half-yearly.

Ex. 14.2 | Q 10 | Page 15

Abha purchased a house from Avas Parishad on credit. If the cost of the house is Rs 64000 and the rate of interest is 5% per annum compounded half-yearly, find the interest paid by Abha after one year and a half.

Ex. 14.2 | Q 11 | Page 15

Rakesh lent out Rs 10000 for 2 years at 20% per annum, compounded annually. How much more he could earn if the interest be compounded half-yearly?

Ex. 14.2 | Q 12 | Page 15

Romesh borrowed a sum of Rs 245760 at 12.5% per annum, compounded annually. On the same day, he lent out his money to Ramu at the same rate of interest, but compounded semi-annually. Find his gain after 2 years

Ex. 14.2 | Q 13 | Page 15

Find the amount that David would receive if he invests Rs 8192 for 18 months at $12\frac{1}{2} \%$ per annum, the interest being compounded half-yearly.

Ex. 14.2 | Q 14 | Page 15

Find the compound interest on Rs 15625 for 9 months, at 16% per annum, compounded quarterly.

Ex. 14.2 | Q 15 | Page 15

Rekha deposited Rs 16000 in a foreign bank which pays interest at the rate of 20% per annum compounded quarterly, find the interest received by Rekha after one year.

Ex. 14.2 | Q 16 | Page 15

Find the amount of Rs 12500 for 2 years compounded annually, the rate of interest being 15% for the first year and 16% for the second year.

Ex. 14.2 | Q 17 | Page 15

Ramu borrowed Rs 15625 from a finance company to buy a scooter. If the rate of interest be 16% per annum compounded annually, what payment will he have to make after $2\frac{1}{4}$ years?

Ex. 14.2 | Q 18 | Page 15

What will Rs 125000 amount to at the rate of 6%, if the interest is calculated after every 3 months?

Ex. 14.2 | Q 19 | Page 15

Find the compound interest at the rate of 5% for three years on that principal which in three years at the rate of 5% per annum gives Rs 12000 as simple interest.

Ex. 14.2 | Q 20 | Page 15

A sum of money was lent for 2 years at 20% compounded annually. If the interest is payable half-yearly instead of yearly, then the interest is Rs 482 more. Find the sum.

Ex. 14.2 | Q 21 | Page 15

Simple interest on a sum of money for 2 years at $6\frac{1}{2} %$ per annum is Rs 5200. What will be the compound interest on the sum at the same rate for the same period?

Ex. 14.2 | Q 22 | Page 15

Find the compound interest at the rate of 5% per annum for 3 years on that principal which in 3 years at the rate of 5% per annum gives Rs 1200 as simple interest.

#### RD Sharma solutions for Class 8 Maths Chapter 14 Exercise 14.3 [Pages 20 - 21]

Ex. 14.3 | Q 1 | Page 20

On what sum will the compound interest at 5% per annum for 2 years compounded annually be Rs 164?

Ex. 14.3 | Q 2 | Page 20

Find the principal if the interest compounded annually at the rate of 10% for two years is Rs 210.

Ex. 14.3 | Q 3 | Page 20

A sum amounts to Rs 756.25 at 10% per annum in 2 years, compounded annually. Find the sum.

Ex. 14.3 | Q 4 | Page 20

What sum will amount to Rs 4913 in 18 months, if the rate of interest is $12\frac{1}{2} \%$ per annum, compounded half-yearly?

Ex. 14.3 | Q 5 | Page 20

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

Ex. 14.3 | Q 6 | Page 20

Rachana borrowed a certain sum at the rate of 15% per annum. If she paid at the end of two years Rs 1290 as interest compounded annually, find the sum she borrowed.

Ex. 14.3 | Q 7 | Page 20

The interest on a sum of Rs 2000 is being compounded annually at the rate of 4% per annum. Find the period for which the compound interest is Rs 163.20.

Ex. 14.3 | Q 8 | Page 20

In how much time would Rs 5000 amount to Rs 6655 at 10% per annum compound interest?

Ex. 14.3 | Q 9 | Page 20

In what time will Rs 4400 become Rs 4576 at 8% per annum interest compounded half-yearly?

Ex. 14.3 | Q 10 | Page 20

The difference between the S.I. and C.I. on a certain sum of money for 2 years at 4% per annum is Rs 20. Find the sum.

Ex. 14.3 | Q 11 | Page 20

In what time will Rs 1000 amount to Rs 1331 at 10% per annum, compound interest?

Ex. 14.3 | Q 12 | Page 20

At what rate percent compound interest per annum will Rs 640 amount to Rs 774.40 in 2 years?

Ex. 14.3 | Q 13 | Page 20

Find the rate percent per annum if Rs 2000 amount to Rs 2662 in $1\frac{1}{2}$ years, interest being compounded half-yearly?

Ex. 14.3 | Q 14 | Page 20

Kamala borrowed from Ratan a certain sum at a certain rate for two years simple interest. She lent this sum at the same rate to Hari for two years compound interest. At the end of two years she received Rs 210 as compound interest, but paid Rs 200 only as simple interest. Find the sum and the rate of interest.

Ex. 14.3 | Q 15 | Page 20

Find the rate percent per annum, if Rs 2000 amount to Rs 2315.25 in an year and a half, interest being compounded six monthly.

Ex. 14.3 | Q 16 | Page 20

Find the rate at which a sum of money will double itself in 3 years, if the interest is compounded annually.

Ex. 14.3 | Q 17 | Page 21

Find the rate at which a sum of money will become four times the original amount in 2 years, if the interest is compounded half-yearly.

Ex. 14.3 | Q 18 | Page 21

A certain sum amounts to Rs 5832 in 2 years at 8% compounded interest. Find the sum.

Ex. 14.3 | Q 19 | Page 21

The difference between the compound interest and simple interest on a certain sum for 2 years at 7.5% per annum is Rs 360. Find the sum.

Ex. 14.3 | Q 20 | Page 21

The difference in simple interest and compound interest on a certain sum of money at $6\frac{2}{3} %$ per annum for 3 years is Rs 46. Determine the sum.

Ex. 14.3 | Q 21 | Page 21

Ishita invested a sum of Rs 12000 at 5% per annum compound interest. She received an amount of Rs 13230 after n years. Find the value of n.

Ex. 14.3 | Q 22 | Page 21

At what rate percent per annum will a sum of Rs 4000 yield compound interest of Rs 410 in 2 years?

Ex. 14.3 | Q 23 | Page 21

A sum of money deposited at 2% per annum compounded annually becomes Rs 10404 at the end of 2 years. Find the sum deposited.

Ex. 14.3 | Q 24 | Page 21

In how much time will a sum of Rs 1600 amount to Rs 1852.20 at 5% per annum compound interest?

Ex. 14.3 | Q 25 | Page 21

At what rate percent will a sum of Rs 1000 amount to Rs 1102.50 in 2 years at compound interest?

Ex. 14.3 | Q 26 | Page 21

The compound interest on Rs 1800 at 10% per annum for a certain period of time is Rs 378. Find the time in years.

Ex. 14.3 | Q 27 | Page 21

What sum of money will amount to Rs 45582.25 at $6\frac{3}{4} %$ per annum in two years, interest being compounded annually?

Ex. 14.3 | Q 28 | Page 21

Sum of money amounts to Rs 453690 in 2 years at 6.5% per annum compounded annually. Find the sum.

#### RD Sharma solutions for Class 8 Maths Chapter 14 Exercise 14.4 [Pages 27 - 28]

Ex. 14.4 | Q 1 | Page 27

The present population of a town is 28000. If it increases at the rate of 5% per annum, what will be its population after 2 years?

Ex. 14.4 | Q 2 | Page 27

The population of a city is 125000. If the annual birth rate and death rate are 5.5% and 3.5% respectively, calculate the population of city after 3 years.

Ex. 14.4 | Q 3 | Page 27

The present population of a town is 25000. It grows at 4%, 5% and 8% during first year, second year and third year respectively. Find its population after 3 years.

Ex. 14.4 | Q 4 | Page 27

Three years ago, the population of a town was 50000. If the annual increase during three successive years be at the rate of 4%, 5% and 3% respectively, find the present population.

Ex. 14.4 | Q 5 | Page 27

There is a continuous growth in population of a village at the rate of 5% per annum. If its present population is 9261, what it was 3 years ago?

Ex. 14.4 | Q 6 | Page 27

In a factory the production of scooters rose to 46305 from 40000 in 3 years. Find the annual rate of growth of the production of scooters.

Ex. 14.4 | Q 7 | Page 27

The annual rate of growth in population of a certain city is 8%. If its present population is 196830, what it was 3 years ago?

Ex. 14.4 | Q 8 | Page 27

The population of a town increases at the rate of 50 per thousand. Its population after 2 years will be 22050. Find its present population.

Ex. 14.4 | Q 9 | Page 27

The count of bacteria in a culture grows by 10% in the first hour, decreases by 8% in the second hour and again increases by 12% in the third hour. If the count of bacteria in the sample is 13125000, what will be the count of bacteria after 3 hours?

Ex. 14.4 | Q 10 | Page 27

The population of a certain city was 72000 on the last day of the year 1998. During next year it increased by 7% but due to an epidemic it decreased by 10% in the following year. What was its population at the end of the year 2000?

Ex. 14.4 | Q 11 | Page 27

6400 workers were employed to construct a river bridge in four years. At the end of the first year, 25% workers were retrenched. At the end of the second year, 25% of those working at that time were retrenched. However, to complete the project in time, the number of workers was increased by 25% at the end of the third year. How many workers were working during the fourth year?

Ex. 14.4 | Q 12 | Page 27

Aman started a factory with an initial investment of Rs 100000. In the first year, he incurred a loss of 5%. However, during the second year, he earned a profit of 10% which in the third year rose to 12%. Calculate his net profit for the entire period of three years.

Ex. 14.4 | Q 13 | Page 28

The population of a town increases at the rate of 40 per thousand annually. If the present population be 175760, what was the population three years ago.

Ex. 14.4 | Q 14 | Page 28

The production of a mixi company in 1996 was 8000 mixies. Due to increase in demand it increases its production by 15% in the next two years and after two years its demand decreases by 5%. What will be its production after 3 years?

Ex. 14.4 | Q 15 | Page 28

The population of a city increases each year by 4% of what it had been at the beginning of each year. If the population in 1999 had been 6760000, find the population of the city in (i) 2001 (ii) 1997.

Ex. 14.4 | Q 15 | Page 28

The population of a city increases each year by 4% of what it had been at the beginning of each year. If the population in 1999 had been 6760000, find the population of the city in (i) 2001 (ii) 1997

The population of a city increases each year by 4% of what it had been at the beginning of each year. If the population in 1999 had been 6760000, find the population of the city in (i) 2001 (ii) 1997.

.

Ex. 14.4 | Q 16 | Page 28

Jitendra set up a factory by investing Rs 2500000. During the first two successive years his profits were 5% and 10% respectively. If each year the profit was on previous year's capital, compute his total profit.

#### RD Sharma solutions for Class 8 Maths Chapter 14 Exercise 14.5 [Page 31]

Ex. 14.5 | Q 1 | Page 31

Ms. Cherian purchased a boat for Rs 16000. If the total cost of the boat is depreciating at the rate of 5% per annum, calculate its value after 2 years.

Ex. 14.5 | Q 2 | Page 31

The value of a machine depreciates at the rate of 10% per annum. What will be its value 2 years hence, if the present value is Rs 100000? Also, find the total depreciation during this period.

Ex. 14.5 | Q 3 | Page 31

Pritam bought a plot of land for Rs 640000. Its value is increasing by 5% of its previous value after every six months. What will be the value of the plot after 2 years?

Ex. 14.5 | Q 4 | Page 31

Mohan purchased a house for Rs 30000 and its value is depreciating at the rate of 25% per year. Find the value of the house after 3 years.

Ex. 14.5 | Q 5 | Page 31

The value of a machine depreciates at the rate of 10% per annum. It was purchased 3 years ago. If its present value is Rs 43740, find its purchase price.

Ex. 14.5 | Q 6 | Page 31

The value of a refrigerator which was purchased 2 years ago, depreciates at 12% per annum. If its present value is Rs 9680, for how much was it purchased?

Ex. 14.5 | Q 7 | Page 31

The cost of a T.V. set was quoted Rs 17000 at the beginning of 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 was the cost of the T.V. set in 2001?

Ex. 14.5 | Q 8 | Page 31

Ashish started the business with an initial investment of Rs 500000. In the first year he incurred a loss of 4%. However during the second year he earned a profit of 5% which in third year rose to 10%. Calculate the net profit for the entire period of 3 years.

## Chapter 14: Compound Interest

Ex. 14.1Ex. 14.2Ex. 14.3Ex. 14.4Ex. 14.5

## RD Sharma solutions for Class 8 Mathematics chapter 14 - Compound Interest

RD Sharma solutions for Class 8 Maths chapter 14 (Compound Interest) include all questions with solution and detail explanation. This will clear students doubts about any question and improve application skills while preparing for board exams. The detailed, step-by-step solutions will help you understand the concepts better and clear your confusions, if any. Shaalaa.com has the CBSE Mathematics for Class 8 by R D Sharma (2019-2020 Session) solutions in a manner that help students grasp basic concepts better and faster.

Further, we at Shaalaa.com provide such solutions so that students can prepare for written exams. RD Sharma textbook solutions can be a core help for self-study and acts as a perfect self-help guidance for students.

Concepts covered in Class 8 Mathematics chapter 14 Compound Interest are Recalling Ratios and Percentages, Finding the Increase Or Decrease per Cent, Concept of Finding Discounts, Finding Discounts - Estimation in Percentages, Prices Related to Buying and Selling (Profit and Loss), Finding Cost Price/Selling Price, Profit %/Loss%, Sales Tax/Value Added Tax, Conept of Compound Interest, Deducing a Formula for Compound Interest, Rate Compounded Annually Or Half Yearly (Semi Annually), Applications of Compound Interest Formula, Calculation of Percentage, Decimal Fraction, Concept of Percentage.

Using RD Sharma Class 8 solutions Compound Interest exercise by students are an easy way to prepare for the exams, as they involve solutions arranged chapter-wise also page wise. The questions involved in RD Sharma Solutions are important questions that can be asked in the final exam. Maximum students of CBSE Class 8 prefer RD Sharma Textbook Solutions to score more in exam.

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