## Chapter 3 - Compound Interest Exercise Ex. 3.1

Question 1  Solution 1 Question 2
Find the amount and the compound interest payable annually on:
Rs.16000 for 2 years at 15% and 12% for the successive years.
Solution 2 Question 3
Find the amount and the compound interest payable annually on:
Rs.17500 for 3 years at 8%, 10% and 12% for the successive years.
Solution 3 Question 4
Calculate the amount and compound interest on Rs 20000 for 3 years at 10% per annum, interest being payable annually.
Solution 4 Question 5
Compute the compound interest for the third year on Rs. 5000 invested for 5 years at 10% per annum, the interest being payable annually.
Solution 5 Question 6
Rakesh invests Rs.25600 at 5% per annum compound interest payable annually for 3 years. Find the amount standing to his credit at the end of the second year.
Solution 6 Question 7 Solution 7 Question 8
A man invests Rs 24000 for two years at compound interest, If his money amounts to Rs 27600 after one year, find the amount at the end of second year.
Solution 8 Question 9
How much will Rs 14000 amounts to 2 years at compound interest, if the rates for the successive years be 5% and 8% respectively?
Solution 9 Question 10
Find the amount and the compound interest on Rs 17500 for 3 years, if the rates for successive years is 4%, 5% and 6% respectively, the interest is payable annually.
Solution 10 Question 11 Solution 11 Question 12
Calculate the amount and compound interest to the nearest rupee on Rs 42000 for 2 years at 8% per annum, interest being payable half-yearly.
Solution 12 Question 13
A man lends Rs 15000 at 10.5% per annum C.I., interest reckoned yearly, and another man lends the same sum at 10% per annum, interest being reckoned half-yearly. Who is the gainer at the end of one year and by how much?
Solution 13 Question 14
Find the difference between the compound interest and simple interest on Rs 20,000 at 12% per annum for 3 years, the compound interest being payable annually.
Solution 14 Question 15
The simple interest on a certain sum of money at 4% p.a. for 2 years is Rs1500. What will be the compound interest on the same sum for the same time?
Solution 15 Question 16
Find the difference between simple and compound interest on Rs 5000 invested for 3 years at 6% p.a., interest payable yearly.
Solution 16 Question 17
Simple interest on a sum of money for 2 years at 4% is Rs 450. Find the compound interest at the same rate for 1 year if the interest is reckoned half - yearly.
Solution 17 Question 18
A man borrows Rs 62500 at 8% p.a., simple interest for 2 years. He immediately lends the money out at CI at the same rate and for same time. What is his gain at the end of 2 years?
Solution 18 Question 19
What sum will amount to Rs.10120 in 2 years at CI payable annually, if the rates are 10% and 15% for the successive years?
Solution 19 Question 20
Sunil borrows Rs.50,000 at 10% SI for years. He immediately invests the entire amount for years at 10% compounded annually. What is his gain at the end of the stipulated time, when he repays his loan?
Solution 20 Question 21
The value of a mobile depreciated by 5% per year during the first two years and 10% per year during the third year. Express the total depreciation of the value of the mobile in per cent during the three years.
Solution 21 Question 22
A man borrows Rs.6500 at 10% per annum compound interest payable half-yearly. He repays Rs.2000 at the end of every six months. Calculate the amount outstanding at the end of the third payment. Give your answer to the nearest rupee.
Solution 22 Question 23
A man borrows Rs.20000 at 10% per annum compound interest payable annually. If he repays Rs.5000 at the end of the first year and Rs.10000 at the end of the second year; how much should he pay at the end of the third year in order to clear the account? Find the answer correct to the nearest rupee.
Solution 23 Question 24
Ankita bought a gold ring worth Rs.x. The value of the ring increased at 10% per year compounded annually, on which the appreciation for the first year plus the appreciation for the second year amounts to Rs.6300. Find the value of the ring.
Solution 24 Question 25
Priyanka lends Rs.15,500 at 10% for the first year, at 15% for the second year and at 20% for the third year. If the rates of interest are compounded yearly, find the difference between the compound interest of the second year and the third year.
Solution 25 Question 26
Samidha borrowed Rs.7500 from Shreya at 30% per annum compounded interest. After 2 years, Samidha gave Rs.10000 and a juicer to Shreya to clear the debt. Find the cost of the juicer.
Solution 26 ## Chapter 3 - Compound Interest Exercise Ex. 3.2

Question 1 Solution 1     Question 2 Solution 2 Question 3
Find the amount on Rs 36000 in 2 years 15% p.a. compounded annually.
Solution 3 Question 4 Solution 4 Question 5
How much will Rs 25000 amount to in 2 years at compound interest, if the rates for 1st and 2nd years be 4% and 5% p.a. respectively?
Solution 5 Question 6
Find compound interest on Rs 31250 for 3 years, if the rates of interest for 1st ,2nd and 3rd years be 8%, 10% and 12% respectively.
Solution 6 Question 7
Calculate the rate percent when Rs 28000 amount to Rs 30870 in 2 years at compounded annually.
Solution 7 Question 8
In what time will Rs 15625 amount to Rs 17576 at 4% p.a. compound interest?
Solution 8 Question 9
In how many years will Rs 2000 amount to Rs 2662 at 10% p.a. compound interest?
Solution 9 Question 10
The simple interest on a certain sum for 3 years at 4% is Rs 600. Find the compound interest for the same sum at the same percent and in the same time.
Solution 10 Question 11
The compound interest payable annually on a certain sum for 2 years is Rs 40.80 and the simple interest is Rs 40. Find the sum and the rate per cent.
Solution 11 Question 12
The difference between simple interest and compound interest compounded annually on a certain sum is Rs.448 for 2 years at 8 per cent per annum. Find the sum.
Solution 12 Question 13
The difference between CI payable annually and SI on Rs.50,000 for two years is Rs.125 at the same rate of interest per annum. Find the rate of interest.
Solution 13 Question 14
What principal will amount to Rs.15729 in two years, if the rate of interest for successive years are 5% and 7% respectively, the interest is being compounded annually.
Solution 14 Question 15
At what rate per cent will Rs.12000 yield Rs.13891.50 as compound interest in 3 years?
Solution 15 Question 16
A sum of Rs.16820 is to be divided between two girls A and B, 27 and 25 years old respectively, in such a way that, if their portions be invested at 5% per annum compound interest payable annually, they will receive equal amounts on reaching 40 years of age. What is the share of each in the original sum of money?
Solution 16 