1Define yearly compound interest.
2Define half-yearly compound interest.
3Define quarterly compound interest.
4For yearly compound interest with principal P, yearly rate R% and time T years, write the formula for the compound amount.
5The compound interest on a sum P in T years at R% yearly compound interest is CI. Write the relation between P, T, R and CI.
6The Employee Provident Fund changes its yearly rate with the country's economic liquidity. If a sum P earns R₁%, R₂% and R₃% in the first, second and third years, write the formula for the compound amount CA.
7Without the formula, find the compound interest and amount: P = Rs. 10,000, T = 2 years, R = 6% p.a.
8Without the formula, find the compound interest and amount: P = Rs. 64,000, T = 3 years, R = 6% p.a.
9Without the formula, find the compound interest and amount: P = Rs. 20,000, T = 2 years, first year's rate 10% p.a., second year's rate 12% p.a.
10At what yearly compound interest rate is the compound interest on Rs. 100 in one year Rs. 12?
11At what yearly compound interest rate is the compound interest on Rs. 200 in 2 years Rs. 42?
12A farmer borrows Rs. 20,000 from a co-operative for a poultry farm for 3 years at 15% yearly compound interest. Find the compound interest and amount.
13A teacher deposits Rs. 50,000 in his daughter's bank account. If the bank pays 10% yearly interest, what are the compound interest and amount in 3 years?
14Sabita deposits Rs. 1,50,000 in a bank that pays 6% yearly interest. After 2 years 6 months, what are the compound amount and the compound interest?
15Manisha deposits Rs. 50,000 at 8% p.a. compound interest. The bank pays half-yearly compound interest. Find the compound interest and amount after 2 years.
16A bank pays quarterly compound interest. Sunil deposits Rs. 50,00,000 for 1 year at 12% p.a. Find the compound interest and amount.
17Karma Gurung deposits Rs. 80,000 at 8% p.a. compound interest. Find the difference between the simple interest and the compound interest in 2 years.
18Find the difference between the simple interest and the yearly compound interest on Rs. 7,500 at 12% p.a. for 3 years.
19Chhiring deposits Rs. 40,000 at 6% p.a. compound interest. Find the difference between the yearly and the half-yearly compound interest in 2 years.
20What is the difference between the half-yearly and the quarterly compound interest on Rs. 18,000 for 1 year at 12% p.a.?
21You go to deposit Rs. 60,000 in a bank for 2 years. Its notice offers fixed deposit (P) at 10% p.a. half-yearly compound interest and fixed deposit (Q) at 12% p.a. yearly compound interest. How much interest does account (P) earn in 2 years?
22Using the same notice, how much interest does account (Q) earn in 2 years?
23Knowing both rates, which account would you choose, and why?
24The yearly compound interest on a sum for 2 years at 15% p.a. is Rs. 180 more than the simple interest. Find the sum.
25The half-yearly compound interest on a sum for 1 year at 10% p.a. is Rs. 40 more than the yearly compound interest for the same time and rate. Find the sum.
26Suprim borrows some money for 2 years at 10% p.a. yearly compound interest and immediately lends it at the same rate of half-yearly compound interest for the same time. If he gains Rs. 2019.24, how much did he borrow?
27In how many years does Rs. 1,00,000 amount to Rs. 1,21,000 at 10% p.a. compound interest?
28How many years will it take for the compound interest on Rs. 8,00,000 at 10% p.a. to be Rs. 2,64,800?
29At what rate of yearly compound interest does Rs. 700 amount to Rs. 847 in 2 years?
30At what rate of yearly compound interest is the compound interest on Rs. 3,43,000 in 3 years Rs. 1,13,533?
31At yearly compound interest a sum becomes Rs. 6,050 in 2 years and Rs. 6,655 in 3 years. Find the rate and the sum.
32At yearly compound interest a sum amounts to Rs. 10,580 in 2 years and Rs. 12,167 in 3 years. Find the rate and the sum.
33At yearly compound interest, the compound interest on a sum for 1 year is Rs. 1,800 and for 2 years is Rs. 3,816. Find the rate and the sum.
34A person deposits Rs. 5,00,000 in a commercial bank for 2 years at 10% p.a. half-yearly compound interest, with 5% tax on the interest. After a year the bank switches to quarterly interest at the same rate. Find the first year's interest after tax.
35For the same deposit, what is the second year's interest after tax?
36For the same deposit, what is the difference between the first and second years' interest after tax?
37For the same deposit, by what percentage does the second year's interest after tax differ from the first year's?
38A person deposits Rs. 80,000 in a co-operative for 2 years at 15% p.a. yearly compound interest, with 5% tax on the interest. After a year the co-operative switches to half-yearly interest at the same rate. By what percentage does the second year's interest after tax differ from the first year's?
39Ram divides Rs. 41,000 into two parts and deposits them in his two daughters' accounts at 5% yearly compound interest for 2 years and 3 years respectively. If the amounts they receive are equal, how much did each get?
40Divide Rs. 21,000 into two parts so that, at 10% p.a., the amount of the first part in 3 years equals the amount of the second part in 2 years.
41At yearly compound interest, the compound interest on a sum for 1 year and 2 years is Rs. 450 and Rs. 945. Find the rate and the sum.
42At yearly compound interest, the compound interests on a sum for 1 year and 2 years are Rs. 1800 and Rs. 3816. Find the rate and the sum.
43Why are simple interest and compound interest equal for the first year?
44Rs. 30,000 is deposited at 10% yearly compound interest. After the first year, 5% tax is taken from the interest and the rest is added to the principal. What is the second year's principal?
45Rs. 50,000 is invested for three years at 5%, 6% and 8% in the first, second and third years. Find the compound amount.