1. 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?

2. 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.

3. Mr. Rathin deposits money in the bank for each of his two daughters in such a way that when each daughter turns 18 years old, she will receive ₹120000. The bank offers simple interest at an annual rate of 10%. The current ages of the daughters are 13 years and 8 years respectively. Calculate how much Mr. Rathin deposited in the bank for each daughter.

4. Ramen Babu deposited a total of ₹370,000 across three banks. The annual simple interest rates for these three banks are 40%, 5%, and 6%, respectively. After one year, the amount of interest he earns from each bank is the same. Let us calculate how much money he deposited in each of the three banks.

5. 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.

6. Raju lent ₹400 to Ajay for 2 years and ₹100 to Manoj for 4 years. He received a total of ₹60 as simple interest from both. What is the annual rate of simple interest?

7. 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%

8. If the simple interest on ₹850 for 3 years and on ₹1250 for 4 years at the same rate amounts to ₹302 in total, then what will be the annual rate of interest?

(a) 3% (b) 5% (c) 7% (d) None of the above

9. 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?

10. Ramen Babu deposits a total of ₹3,70,000 in three banks. The annual simple interest rates of the three banks are 4%, 5%, and 6% respectively. After one year, the total interest earned from each bank is the same. How much money did he deposit in each bank?

11. 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%

12. 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?

13. If ₹1400 is deposited in a bank with an interest rate of 6% for the first 4 years and 3% for the next 6 years, the interest received after 10 years will be-

(a) ₹ 120 (b) ₹ 588 (c) ₹ 230 (d) ₹ 448

14. Arpita lent ₹400 to Rakhi for 5 years and ₹900 to Minu for 3 years, receiving a total interest of ₹94 from both. The annual interest rate is-

(a) 2% (b) 4% (c) 6% (d) 8%

15. Bimal Babu deposited ₹1,87,500 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 turn 18, they receive equal amounts, including interest. Determine how much he deposited separately for his son and daughter.

16. 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?

17. If ₹800 is deposited in a bank at an annual simple interest rate of 10%, and the total amount received (principal + interest) is ₹1200, then calculate and write for how long the money was deposited in the bank.

18. At the same time, Amal Ray deposited ₹2000 in a bank and Pashupati Ghosh deposited ₹2000 in a post office. After 3 years, they received ₹2360 and ₹2480 respectively, including interest. Calculate and write the ratio of the annual simple interest rates of the bank and the post office.

19. 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.

20. A person deposited ₹100 in a bank, and after 2 years received a total of ₹121 with compound interest. What is the annual compound interest rate?

(a) 10% (b) 20% (c) 5% (d) \(10\cfrac{1}{2}\)%

21. 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

22. 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.

23. A gentleman deposits a portion of his savings in a bank and the remaining in a post office under simple interest. The rates of simple interest in the bank and post office are 10% and 8% respectively. His total savings amount to ₹57,000. If he had deposited the entire amount in the bank, he would have earned ₹500 more in interest. What were the amounts he deposited in the bank and the post office?

24. Mr. Amal bequeaths ₹56,000 in his will for his two sons aged 13 and 15 in such a way that, when they each turn 18, the simple interest earned at an annual rate of 10% will be equal to the principal for each. What will be the allocated amount for each son in the will?

25. 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?

26. At an annual simple interest rate of \(\cfrac{a}{5}\)%, if the interest on ₹\(a^2\) for \(\cfrac{a}{3}\) years equals the principal amount, then what is the value of \(\cfrac{a^3}{60}\)?

27. Here's the English translation of your sentence: Calculate the compound interest and the total amount on ₹2,400 for 1½ years at an annual compound interest rate of 10%, compounded semi-annually.

28. The difference in interest for ₹840 and ₹1060 over 3 years at an annual rate of 12% is—

(a) ₹ 89.20 (b) ₹ 83 (c) ₹ 73 (d) ₹ 79.20

29. The difference in interest for ₹680 at an annual rate of 3% for 5 years and ₹460 at an annual rate of 5% for 5 years is—

(a) ₹ 22 (b) ₹ 13 (c) ₹41 (d) ₹ 60

30. If ₹780 is invested for the first 5 years at an interest rate of 4%, for the next 4 years at 5%, and for the last 5 years at 7%, what will be the total interest amount?

(a) ₹ 855 (b) ₹ 685 (c) ₹ 709 (d) ₹ 585