1. My aunt wants to will ₹56,000 between her two sons, aged 13 and 15, in such a way that by the time each turns 18, the total amount (principal + interest) received by both sons is equal. The interest is calculated at an annual simple interest rate of 10%. Determine how much should be allotted to each son in the will.

2. What should be the annual simple interest rate (in percentage) so that the interest on a sum of money for 6 years becomes \(\frac{18}{25}\) of the principal?

3. 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?

4. 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?

5. Due to the annual simple interest rate decreasing from \(4\%\) to \(3\frac{3}{4}\%\), a person's annual income decreases by ₹60. Find that person's principal amount.

6. 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.

7. What should be the annual rate of simple interest so that the interest for 5 years becomes \(\frac{1}{4}\) of the principal?

8. At an annual interest rate of 4%, how much money should be invested so that the total amount becomes ₹3600 in 5 years?

9. What should be the annual rate of simple interest (in percent) so that the interest on a sum of money for 10 years becomes \(\frac{2}{5}\) of the total amount (principal + interest)?

10. Due to a decrease in the annual simple interest rate from \(4\%\) to \(3\frac{3}{4}\%\), a person's annual income is reduced by ₹600. Find that person's principal (capital).

11. 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?

12. What should be the annual simple interest rate so that the interest on ₹140 for 5 years is ₹63?

(a) 9% (b) 10% (c) 6% (d) 5%

13. Anil Babu wants to allocate ₹56,000 between his two sons, aged 13 and 15, such that when they turn 18, the simple interest earned at an annual rate of 10% is equal to their respective principal amounts. Determine the amount allocated to each son in the will.

14. My aunt wants to will 56,000 INR between her two sons, aged 13 and 15, in such a way that when they turn 18, the total amount received (principal + interest) for each son will be equal, given a 10% annual simple interest rate. Determine the amount allocated for each son in the will.

15. The annual simple interest rate decreases from \( 4\% \) to \( 3\frac{3}{4}\% \), causing a person's yearly income to reduce by 60 rupees. Find the principal amount of that person.

16. What should be the annual simple interest rate so that the interest for 5 years becomes \(\cfrac{1}{4}\) of the principal?

17. Due to the decrease in the annual simple interest rate from 4% to 3\(\frac{3}{4}\)%, a person's annual income decreases by 60 rupees. What is the principal amount of that person?

18. Due to the annual simple interest rate decreasing from 4% to 3\(\frac{3}{4}\)%, a person's annual income decreases by ₹60. What is that person's principal amount?

19. What should be the annual interest rate for a principal amount to double in 6 years?

(a) 12% (b) 12\(\cfrac{1}{2}\)% (c) 16% (d) 16\(\cfrac{2}{3}\)%

20. What should be the principal amount so that the compound amount becomes ₹169 in 2 years at a 4% interest rate?

(a) ₹ 156.25 (b) ₹160 (c) ₹150.50 (d) ₹ 154.75

21. A person's annual income decreases by ₹60 when the rate of interest drops from 4% to \(3\frac{3}{4}\)% (i.e., 3.75%). Find the principal amount.

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

23. A man left ₹28,000 for his 13-year-old son and 15-year-old daughter with the instruction that, at the age of 18, the amount each receives — including simple interest at an annual rate of 10% — should be equal. Determine the amount allocated to each child.

24. A borrowed ₹960 from B at an annual simple interest rate of 6%, with the condition that the loan will be repaid over the next 4 yearly installments. In the first 3 installments, A will pay only one-fourth of the principal each year. In the final (4th) installment, A will pay the remaining principal along with the total interest accrued over the 4 years. Find the total amount A will pay at the end of the 4th year.

25. When Mr. Subir retired from his job, he received a lump sum of ₹6,00,000 from his Provident Fund and Gratuity. He wants to divide this amount between the post office and the bank in such a way that he earns ₹34,000 annually as interest. If the annual simple interest rates of the post office and the bank are 6% and 5% respectively, determine how much money he should deposit in each.

26. Sure! The Bengali sentence: **"কোনো মূলধন বার্ষিক 6 \(\frac{1}{4}\)% সরল সুদের হারে কত বছরে দ্বিগুণ হবে তা লিখি ।"** translates to English as: **"Write how many years it will take for a principal to double at an annual simple interest rate of 6 \(\frac{1}{4}\)%."** Would you like help solving this too?

27. 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.

28. If the annual simple interest rate increases from 4% to 5%, causing a person's income to rise by ₹1000, then the person's principal amount is _____.

(a) ₹ 4000 (b) ₹ 5000 (c) ₹ 10000 (d) ₹ 50000

29. If the annual simple interest rate increases from 4% to 5%, causing a person's income to rise by ₹1000, then the person's principal amount is _____.

(a) ₹ 4000 (b) ₹ 5000 (c) ₹ 10000 (d) ₹ 50000

30. Mannan Miah saw that after 6 years of borrowing a sum of money, the amount of simple interest had become \(\frac{3}{8}\) of the principal. Determine the annual rate of simple interest.