1. A person deposited ₹100 in a bank, and after 2 years received ₹121 as the total amount under compound interest. What is the annual percentage rate of compound interest?

2. In compound interest, if an amount becomes \(\cfrac{27}{8}\) times the principal in 3 years, what will be the annual rate of interest? Let me know if you'd like the full solution as well—I'm ready when you are.

3. At an annual percentage rate of interest, the simple interest and compound interest on a principal amount are equal after —— years.

4. If a principal amount becomes ₹6325 in 3 years and ₹6737.50 in 4\(\frac{1}{2}\) years at compound interest, find the rate of interest and the principal.

5. 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.

6. 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.

7. 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.

8. 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.

9. Under compound interest, a certain amount of money grows to ₹9,680 at the end of the second year and ₹10,648 at the end of the third year. Determine the principal amount and the rate of interest.

10. Determine the principal amount that will yield a compound amount of 31,492.80 INR in 3 years at an annual compound interest rate of 4%.

11. 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.

12. If the compound amount of ₹400 in 2 years becomes ₹441, find the annual compound interest rate (percentage).

13. 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.

14. Determine the annual simple interest rate (in percentage) at which the interest for 5 years becomes \(\cfrac{2}{5}\) of the principal amount.

15. Determine the annual simple interest rate (percentage) at which the interest on a certain amount over 4 years becomes \(\frac{8}{25}\) of the principal.

16. Determine the annual simple interest rate (percentage) at which the interest on a certain amount over 10 years becomes \(\frac{2}{5}\) of the total amount (principal + interest).

17. I have ₹5000. I deposited this amount in a bank at an annual compound interest rate of 8.5%. Write the calculation to determine the total amount (principal + interest) I will receive after 2 years.

18. Write the calculation to determine the principal amount for which the compound interest for 3 years at an annual compound interest rate of 10% will be ₹2648.

19. Rahmat Chacha deposited a certain amount of money in a cooperative bank at an annual compound interest rate of 9%. After 2 years, he received ₹29,702.50 as the total amount (principal + interest). Let us determine how much money Rahmat Chacha originally deposited in the cooperative bank.

20. 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.

21. If the simple interest and compound interest on a certain principal for 2 years are ₹8400 and ₹8652 respectively, then calculate and write the amount of the principal and the annual rate of interest.

22. If the simple interest and compound interest on a certain principal for 2 years are 840 rupees and 869.40 rupees respectively, then let’s calculate and write down the principal amount and the annual rate of interest.

23. If a principal becomes \(3\frac{3}{8}\) times the original amount in 3 years at compound interest, what is the annual rate of interest?

24. Under compound interest, a certain principal becomes ₹6,600 in 1 year and ₹7,986 in 3 years. Find the principal and the rate of interest.

25. What should be the annual rate of simple interest (in percentage) so that the interest earned in 4 years becomes \( \frac{2}{5} \) of the principal amount?

26. What should be the annual rate of simple interest (in percentage) so that the interest earned in 4 years becomes \(\frac{8}{25}\) of the principal amount?

27. 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.

28. 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.

29. If a principal amount yields a total of ₹7,100 (principal + simple interest) in 7 years and ₹6,200 in 4 years at the same annual rate of simple interest, find the principal and the annual rate of simple interest.

30. If a certain principal amount amounts to ₹1248 in 7 years and ₹1056 in 4 years at the same annual rate of simple interest, find the principal and the annual rate of simple interest.