1. 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.

2. 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)?

3. 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).

4. 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.

5. If the annual simple interest on a principal is \(\cfrac{1}{9}\) of it, then what will be the accumulated amount in 4 years if the total sum becomes 1326 rupees?

(a) ₹ 1080 (b) ₹ 1120 (c) ₹ 918 (d) ₹ 750

6. 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%

7. 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

8. 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.

9. 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.

10. A farmer deposits ₹100 at the post office on the first day of every month. If the annual rate of simple interest is 5%, what will be the total amount (principal + interest) he receives at the end of the year?

11. At what annual rate of interest will the simple interest on ₹900 for 4 years be equal to the simple interest on ₹720 for 6 years at 5% per annum?

12. If the total simple interest on a principal amount at an annual rate of \(x\%\) for \(y\) years is \(\frac{pyx}{25}\) rupees, then the principal amount will be:

(a) \(2p\) rupees (b) \(4p\) rupees (c) \(\cfrac{p}{2}\) rupees (d) \(\cfrac{p}{4}\) rupees

13. 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?

14. At an annual interest rate of 10%, the ratio of simple interest to compound interest on ₹100 for 2 years will be –.

(a) 10:11 (b) 11:10 (c) 20:21 (d) 21:20

15. 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?

16. ₹6300 is divided into two parts in such a way that the simple interest on the first part at an annual rate of 10% for 6 years is equal to the simple interest on the second part at an annual rate of 15% for 3 years. Find the amounts of the two parts.

(a) ₹ 2700,₹3600 (b) ₹ 3000,₹ 3300 (c) ₹ 4000,₹ 2300 (d) ₹ 5000,₹ 1300

17. 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.

18. Rahim took a loan from a bank at an annual simple interest rate of 10%, and on the same day, Ram took a separate loan from the same bank at the same interest rate. After 2 years, the total amount the bank received from Rahim was exactly the same as the total amount it received from Ram after 3 years. Determine the ratio of Rahim's loan to Ram's loan.

19. 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?

20. Write down the calculation to determine in how many years a sum of money will double at an annual simple interest rate of 6%.

21. Determine the principal and the annual simple interest rate if a sum of money amounts to ₹7100 in 7 years and ₹6200 in 4 years at the same annual rate of simple interest.

22. Rekhadidi deposited ₹10000 from her savings into two separate banks at the same time. One bank offers an annual simple interest rate of 6%, while the other offers 7%. If she received a total of ₹1280 as interest after 2 years, calculate and write how much she deposited in each bank.

23. Jayanta deposits ₹1000 on the first day of each month into a monthly savings scheme. If the bank offers an annual simple interest rate of 5%, let's calculate the total amount (principal + interest) he will receive after 6 months.

24. At an annual simple interest rate of 5%, a person deposits some money in the bank. After 5 years, how much total amount will he receive, if the principal is 12,500 rupees less than the total amount (principal + interest?

25. At an annual simple interest rate of x%, the interest and total amount (principal + interest) for ₹12y over 10 months is —

26. At an annual interest rate of \( r\% \), the total interest on ₹100 over \( n \) years is \( rn \).

27. At an annual compound interest rate of \( r\% \), the total compound amount on ₹\( p \) over 3 years is: \[ p \left(1 + \frac{r}{100}\right)^3 \]

(a) \(r\left(1+\cfrac{p}{100}\right)^3\) (b) \(3\left(1+\cfrac{r}{100}\right)^p\) (c) \(p\left(1+\cfrac{r}{100}\right)^3\) (d) \(p\left(1+\cfrac{r}{100}\right)^2\)

28. A borrowed ₹860 from B at an annual simple interest rate of 6%, with the agreement to repay the loan over the next four yearly installments. In each of the first three installments, A would pay only one-fourth of the principal. In the final (fourth year’s) installment, A would pay the remaining principal and the total accumulated interest. What amount will A pay at the end of the fourth year?

29. If the total amount becomes 966 rupees at an annual simple interest rate of 3% in 5 years, the principal amount will be -

(a) 480 rupees (b) 408 rupees (c) 404 rupees (d) 840 rupees

30. At an annual simple interest rate of \(r\%\), if the total interest on a principal for \(n\) years is \(\cfrac{pnr}{25}\) rupees, then the amount of the principal is –

(a) \(2p\) rupees (b) \(4p\) rupees (c) \(\cfrac{p}{2}\) rupees (d) \(\cfrac{p}{4}\) rupees