1. 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

2. 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%

3. 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.

4. Jayanta deposits ₹100 on the first day of each month in a monthly savings scheme. He continues this for one year. If the annual simple interest rate is 6%, how much total amount (principal + interest) will he receive at the end of the year?

5. 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.

6. 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?

7. Bimal Kaku deposited ₹187,500 in a bank at an annual simple interest rate of 5% for his 12-year-old son and 14-year-old daughter, in such a way that when both children turn 18, they each receive the same amount (principal plus interest). Let us calculate how much money he deposited for his son and daughter individually.

8. Fatima Bibi deposited ₹100 on the first day of each month in a monthly savings scheme. She continued this for one full year. If the annual simple interest rate is 6%, let us calculate the total amount (principal + interest) she would receive at the end of the year.

9. 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.

10. 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.

11. 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.

12. At an annual simple interest rate of 10%, if the interest for 5 years is x rupees, then the principal amount:

(a) ₹ 2x (b) ₹ 4x (c) ₹ 10x (d) ₹ 20x

13. Uday Babu lent a certain amount of money to one person at an annual simple interest rate of 4% for 4 years, and twice that amount to another person at an annual simple interest rate of 10% for the same duration. He received ₹960 more interest from the second person than from the first. Find the total amount of money Uday Babu lent.

14. When simple interest is calculated at a fixed rate on a given principal, the simple interest for 2 years is greater than the compound interest.

15. Bimal Babu lent a certain amount of money to one person at an annual simple interest rate of 8% for 4 years, and twice that amount to another person at an annual simple interest rate of 10% for the same duration. Bimal Babu received ₹960 more interest from the second person than from the first. Find the total amount of money Bimal Babu lent.

16. 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.

17. 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?

18. Bimalkaku deposited ₹187,500 in a bank at an annual 5% simple interest for his 12-year-old son and 14-year-old daughter, in such a way that when both of them turn 18, they will each receive the same amount of money (principal + interest). How much money did he deposit for his son and daughter respectively?

19. 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%

20. 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?

21. The compound interest and simple interest on a fixed amount of money at a fixed annual rate for 1 year are ______.

22. Mr. Bimal deposited ₹5,600 in a bank at a simple interest rate of 10% for his 13-year-old son and 15-year-old daughter in such a way that when both turn 18 years old, they each receive the same amount including interest. How much money did he deposit separately for his son and daughter?

23. 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

24. 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

25. 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.

26. 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.

27. If interest is compounded every 6 months, find the difference between compound interest and simple interest for ₹10,000 at an annual rate of 10% after one year.

(a) ₹ 50 (b) ₹ 25 (c) ₹ 75 (d) ₹ 0

28. 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.

29. 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.

30. In compound interest, if the interest rates for the first, second, and third years are \(r_1\%\), \(r_2\%\), and \(2r_3\%\) respectively, then the amount after 3 years on a principal of ₹\(P\) will be: \[ P\left(1 + \cfrac{r_1}{100}\right)\left(1 + \cfrac{r_2}{100}\right)\left(1 + \cfrac{r_3}{100}\right) \]