1. At an annual interest rate of 10%, compounded semi-annually, the difference between the compound interest and simple interest over 2 years is ₹124.05. Find the principal amount.
2. If the difference between the compound interest and the simple interest on a certain sum of money for 2 years at an annual interest rate of 9% is ₹129.60, then find the principal amount.
3. The sum of the principal and the compound interest for a fixed period is called _____.
4. A certain sum of money amounts to ₹944 in 3 years at simple interest. If the rate of interest is increased by 25%, the same sum amounts to ₹980 in the same time period. Find the principal amount and the original rate of interest.
5. If a certain principal amount accrues to ₹950 at an annual interest rate of 10% and ₹700 at an annual interest rate of 6% over the same period, then the duration of time is –
(a) 13\(\cfrac{3}{19}\) years (b) 3\(\cfrac{3}{19}\) years (c) 19\(\cfrac{3}{13}\) years (d) none of the above
6. If the ratio of a certain principal amount to its compound amount after a certain period is 15:21 and the annual simple interest rate is 5%, then the duration of time is –
(a) 4 years (b) 2 years (c) 8 years (d) 10 years
7. If the ratio of a certain principal amount to the interest accrued over a given period is 20:7, and the annual simple interest rate is 6%, then the duration of time is –
(a) 6 years (b) 5\(\cfrac{5}{6}\) years (c) 6\(\cfrac{5}{7}\) years (d) none of the above
8. If the difference between the compound interest and simple interest on a certain sum at a rate of 20% per annum for 3 years is ₹800, what is the principal amount?
(a) ₹ 5250 (b) ₹ 8650 (c) ₹ 6250 (d) none of the above
9. At an annual interest rate of 4%, the difference between the simple interest and compound interest on a principal amount for 2 years is 40 rupees. Determine the principal amount.
10. If the difference between the compound interest and simple interest on a certain sum for 3 years at an annual rate of 10% is 930 rupees, then what is the principal amount?
11. At an annual compound interest rate of 5%, if the compound interest on a certain sum of money for 2 years is ₹615, determine the principal amount.
12. At an annual interest rate of 9%, if the difference between the compound interest and simple interest on a certain amount for 2 years is ₹129.60, then calculate and write that principal amount.
13. If the difference between the compound interest and simple interest on a certain amount for 3 years at an annual interest rate of 10% is ₹930, then calculate and write that principal amount.
14. A farmer deposited some money in the village post office. After 4 years, he found that the total amount including interest had become ₹434. He calculated that the interest he received was \(\frac{6}{25}\) of his principal amount. Find how much money he had originally deposited and what annual rate of simple interest the post office gave.
15. At an annual compound interest rate of 5%, if the compound interest on a certain amount of money over 2 years is ₹615, determine the principal.
16. If the difference between the compound interest and simple interest on a certain sum of money for 3 years at an annual rate of 10% is ₹930, then what is the amount of that sum?
17. If the difference between the compound interest and simple interest on a certain principal for 2 years at an annual rate of 5% is ₹25, then what is the amount of the principal?
18. If a certain principal amounts to ₹1500 at an annual interest rate of 10% and ₹1300 at an annual interest rate of 6% after a fixed period, what is the principal?
(a) ₹ 500 (b) ₹ 1000 (c) ₹ 1800 (d) ₹ 1600
19. If a certain principal amounts to ₹500 at a 7% interest rate over a fixed period and ₹400 at a 5% interest rate over the same period, what is the principal amount?
(a) ₹ 250 (b) ₹ 150 (c) ₹ 50 (d) none of the above
20. Determine the principal amount for which the difference between the simple interest and compound interest for 2 years at an annual rate of 4% is 40 rupees.
21. Determine the principal amount for which the difference between the simple interest and compound interest for 2 years at an annual rate of 4% is 80 rupees.
22. If the compounding period is 1 year, the simple interest and compound interest for 1 year on a certain amount of money will be equal.
23. If the ratio of the principal and the annual compound amount is 10:11, then the annual interest rate is _____.
24. The period at the end of which compound interest is added to the principal is called the _____ of compound interest.
25. At the same interest rate, the simple interest on a certain amount for 3 years is ₹1200, and the compound interest for 2 years is ₹832. Determine the interest rate and the principal amount.
26. Bimal Kaku deposited 56,000 INR in a bank for his two sons, aged 13 and 15 years, in such a way that when they turn 18, the simple interest earned at an annual rate of 10% on each deposit equals the respective principal amount. Determine how much he deposited in each son's name.
27. If the simple interest on a certain principal for 1 year is ₹50 and the compound interest for 2 years is ₹102, then calculate and write the amount of the principal and the annual rate of interest.
28. For a fixed amount of money at a fixed annual interest rate over a specific period, the compound interest will be less than the simple interest.
29. At an annual simple interest rate of x%, the interest and total amount (principal + interest) for ₹12y over 10 months is —
30. If the annual simple interest on a principal is \(\cfrac{1}{9}\) of it, then what will be the accumulated amount in 4 years if the total sum becomes 1326 rupees?
(a) ₹ 1080 (b) ₹ 1120 (c) ₹ 918 (d) ₹ 750
