1. At what annual percentage rate of interest will a principal amount double in 16\(\cfrac{2}{3}\) years?

(a) 4% (b) 5% (c) 6% (d) 8%

2. At what annual interest rate will the interest on a principal amount become \(\cfrac{5}{16}\) of the principal in 6\(\cfrac{1}{4}\) years?

(a) 3% (b) 4% (c) 5% (d) 6%

3. If a certain amount of money doubles in 4 years at a fixed annual compound interest rate, in how many years will it become four times?

4. What should be the annual compound interest rate for a certain amount of money to become 1.96 times that amount in 2 years?

5. If a certain amount of money doubles in \(n\) years at an annual compound interest rate, determine in how many years it will become eight times.

6. If a certain amount of money doubles in \(n\) years under a fixed annual compound interest rate, in how many years will it become 4 times its original value?

7. If a certain amount of money doubles in \(n\) years at a fixed annual compound interest rate, then in how many years will it become four times?

8. At what annual percentage rate of interest will 325 rupees yield an interest of 52 rupees in 4 years?

(a) 3% (b) 4% (c) 5% (d) 6%

9. At what annual percentage rate of interest will the interest on an amount in 4 years become \(\cfrac{1}{6}\) of the total amount?

(a) 4% (b) 5% (c) 6% (d) 8%

10. At an annual interest rate of 4%, what principal amount will yield at least ₹80 difference between simple interest and compound interest over 2 years?

11. If interest is compounded every 6 months, then at an annual compound interest rate of 10%, what will be the compound amount and compound interest on ₹8000 for 1½ years?

12. A man borrowed a certain amount of money at an annual compound interest rate of 5%. He repaid ₹3,150 at the end of the first year and ₹4,410 at the end of the second year to clear the loan. What was the amount he originally borrowed?

13. At an annual compound interest rate of 5%, what principal amount will yield ₹315.25 as compound interest in 3 years?

14. If \(\frac{1}{6}\) of a principal amount is earned as annual simple interest, what will be the percentage rate of interest?

(a) 10\(\cfrac{2}{3}\%\) (b) 16\(\cfrac{2}{3}\%\) (c) 12% (d) 9\(\cfrac{2}{3}\%\)

15. At an annual interest rate of 4%, what will be the total amount (including interest) on ₹450 after 3 years?

(a) ₹ 135 (b) ₹ 180 (c) ₹ 504 (d) ₹ 6000

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. At a fixed time, a certain amount of money amounts to ₹400 at an annual interest rate of 10% and ₹200 at an annual interest rate of 4%. What is the principal?

(a) ₹ \(\cfrac{100}{6}\) (b) ₹ \(\cfrac{100}{3}\) (c) ₹ \(\cfrac{200}{3}\) (d) ₹ \(\cfrac{200}{6}\)

18. If a certain amount of money triples at a 5% simple interest rate, at what rate will it become nine times?

(a) 10% (b) 28% (c) 24% (d) 20%

19. If the interest on a certain amount of money at an annual rate of 5% for 8 years is ₹246 more than the interest at an annual rate of 7% for 4 years, what is the principal amount?

(a) ₹ 5020 (b) ₹ 2000 (c) ₹ 2050 (d) ₹ 2005

20. 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

21. If a certain amount of money triples in 7 years at an annual compound interest rate, in how many years will it become 9 times?

(a) 10 (b) 12 (c) 14 (d) 13

22. If a certain amount of money grows to ₹12,100 in 3 years and ₹14,641 in 5 years at a compound interest rate, what is the annual interest rate?

(a) 10% (b) 15% (c) 5% (d) 12%

23. At an annual compound interest rate of 5%, what principal amount will yield a compound interest of 615 currency units in 2 years?

24. What would be the annual simple interest rate (percentage) if the interest for 4 years on a certain amount is \(\cfrac{8}{25}\) of the principal?

25. Aman borrowed ₹25,000 for 3 years, with annual compound interest rates of 4% for the first year, 5% for the second year, and 6% for the third year. What amount will Aman repay (including principal and interest) at the end of 3 years?

26. If a certain amount of money triples in 20 years, then at the same simple interest rate, in how many years will it double?

27. At an annual simple interest rate of 5%, what amount of principal will yield a monthly interest of 1 rupee?

(a) ₹ 120 (b) ₹ 200 (c) ₹ 240 (d) ₹ 20

28. If a principal amount doubles in 10 years, what will be the annual simple interest rate ?

(a) 5% (b) 10% (c) 15% (d) 20%

29. A principal amount doubles in 20 years at a certain simple interest rate. At the same rate of simple interest, the time required for the principal to become three times will be:

(a) 30 Years (b) 35 Years (c) 40 Years (d) 45 Years

30. What principal amount will generate ₹1 as simple interest for 1 day at an annual rate of 10%?

(a) ₹7300 (b) ₹1825 (c) ₹3650 (d) ₹10950