1. At an annual interest rate, the compound interest on a principal for 2 years is greater than the simple interest.
2. Which one will be less: the simple interest for 2 years or the compound interest with annual compounding for 2 years, on a fixed principal, if the rate of interest is the same?
3. If the simple interest on a certain principal for 2 years at an annual rate of 15% is ₹160, find the compound interest.
(a) ₹ 205 (b) ₹ 172 (c) ₹ 200 (d) none of the above
4. 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.
5. What is the difference between the simple interest and compound interest on ₹1250 for 2 years at a rate of 4%?
(a) ₹ 8 (b) ₹ 4 (c) ₹ 3 (d) ₹ 2
6. If the simple interest on a certain amount for 2 years at a rate of 4% is ₹80, then what is the compound interest?
(a) ₹ 91.60 (b) ₹ 81.60 (c) ₹ 71.60 (d) ₹80
7. For a fixed principal amount at the same rate of interest, the compound interest for 1 year is greater than the simple interest for 1 year.
8. The simple interest on ₹400 for 5 years and on ₹600 for 4 years together amounts to ₹132. If the rate of interest is the same in both cases, find the rate of interest.
(a) 3% (b) 5% (c) 7% (d) 9%
9. 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.
10. 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?
11. If the difference between the compound interest and simple interest on ₹1,400 for 2 years is ₹87.50, then what is the annual compound interest rate?
(a) 10% (b) 25% (c) 20% (d) 15%
12. If the simple interest on a certain amount at an annual interest rate of 8% for 2 years is ₹850, then what will be the compound interest for the same period?
(a) ₹ 1684 (b) ₹984 (c) ₹ 884 (d) none of the above
13. 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
14. What is the difference between the compound interest and simple interest on ₹1950 at an annual interest rate of 8% for 2 years?
(a) ₹ 18 (b) ₹ 12.48 (c) ₹ 48.12 (d) ₹ 24
15. If the simple interest on a certain principal at an annual interest rate of 18% for 2 years is ₹800, what will be the compound interest?
(a) ₹ 672 (b) ₹ 872 (c) ₹ 560 (d) ₹ 730
16. If the annual interest rate is the same, the compound interest on a principal amount for one year will be higher than the simple interest.
17. If the simple interest for 1 year on a certain principal amount is 500 rupees and the compound interest for 2 years is 1020 rupees, determine the principal amount and the annual simple interest rate.
18. 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.
19. 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.
20. 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.
21. At an annual simple interest rate of \(r\%\), if the total interest on a principal for \(n\) years is \(\cfrac{pnr}{25}\) rupees, then the amount of the principal is –
(a) \(2p\) rupees (b) \(4p\) rupees (c) \(\cfrac{p}{2}\) rupees (d) \(\cfrac{p}{4}\) rupees
22. Some money becomes 5 times its original amount in 5 years at simple interest. At the same rate of interest, the time required for that principal to become 17 times is:
(a) 17 years (b) 20 years (c) 18 years (d) 19 years
23. 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.
24. The simple interest and compound interest on a certain principal for 2 years are ₹4,000 and ₹4,100 respectively. Find the principal and the rate of interest.
25. The simple interest for 2 years and the compound interest for 1 year (with annual compounding) on the same principal at the same rate are ₹800 and ₹820 respectively. Find the principal and the rate of interest.
26. 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.
27. ₹1200 is deposited for 4 years and ₹2000 for 3 years in a bank at the same rate of simple interest. If the total interest earned is ₹594, what is the annual rate of interest (percentage)?
28. If the total simple interest on a principal amount at an annual rate of \(x\%\) for \(y\) years is \(\frac{pyx}{25}\) rupees, then the principal amount will be:
29. Under the same rate of interest, the simple interest on ₹800 for 3 years and ₹1000 for 5 years together amounts to ₹592. What is the rate of interest?
(a) 6% (b) 8% (c) 7% (d) 9%
30. If the simple interest and compound interest on a certain principal for 2 years are ₹8400 and ₹8652 respectively, then determine the principal and the annual rate of interest.
