1. 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.

2. A person deposited ₹100 in a bank and received ₹121 as compound amount after 2 years. The annual interest rate was ____ %.

3. 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?

4. A person deposited ₹100 in a bank and received ₹121 as compound amount after 2 years. Find the annual compound interest rate.

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

5. 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.

6. Depositing 100 rupees in a bank, if the compound amount after 2 years becomes 121 rupees, then the annual compound interest rate is _____ ?

7. Rahmat Chacha deposited a certain amount of money in a cooperative bank at an annual compound interest rate of 9%. After 2 years, he received ₹29,702.50 as the total amount (principal + interest). Let us determine how much money Rahmat Chacha originally deposited in the cooperative bank.

8. A person deposited ₹100 in a bank and received ₹121 as compound amount after 2 years. Find the annual compound interest rate.

(a) 10% (b) 20% (c) 5% (d) \(120\cfrac{1}{2}\)%

9. 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

10. At the same rate of simple interest, a certain principal amounts to ₹1056 in 4 years and ₹1248 in 7 years. Find the rate of interest and the principal.

11. A invests ₹12,000 in a business. After some time, B joins the same business with ₹16,000. After 9 months from B's investment, both A and B receive equal amounts of profit. For how long was A's money invested in the business?

12. If 23\cfrac{2}{3} of a certain amount is deposited at a 3% interest rate, 16\cfrac{1}{6} at a 6% interest rate, and the remaining part at a 12% interest rate in a bank, and the total interest received at the end of the year is ₹25, how much money was deposited in the bank?

(a) ₹ 500 (b) ₹ 650 (c) ₹ 780 (d) ₹ 1000

13. A person deposited ₹121 in a bank and received ₹144 as compound amount after 2 years. Determine the annual compound interest rate.

(a) \(9\cfrac{1}{11}\%\) (b) \(2\%\) (c) \(5\%\) (d) \(11\%\)

14. A bank provides an annual simple interest rate of 5%. At the beginning of the year, Mr. Dip deposited 15,000 rupees. Three months later, he withdrew 3,000 rupees, and three months after withdrawing the amount, he deposited 4,000 rupees again. At the end of the year, how much money will Mr. Dip receive from the bank, including interest?

15. Rokeya takes a loan from the bank under the condition that she will pay interest at an annual simple interest rate of 10% and repay \(\frac{1}{5}\) of the principal every two years. If she pays 10,000 currency units as the first installment after two years, determine the amount she borrowed.

16. Rekha deposited ₹10,000 of her savings into two separate banks. One bank offers an annual simple interest rate of 6%, while the other offers 7%. After 2 years, she receives ₹1,280 as interest. How much money did she deposit in each bank?

17. 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.

18. Three friends collected ₹8000, ₹10000, and ₹12000 respectively and started a business after borrowing some amount from the bank. At the end of the year, they made a profit of ₹13,400. From this profit, they repaid the bank’s yearly installment of ₹5000. The remaining amount was divided among them in proportion to their capital investment. Write the calculation showing how much profit each friend will receive.

19. Masud, Nibedita, and Kabir jointly started a business by investing ₹6000, ₹8000, and ₹9000 respectively. After 4 months, Masud invested an additional amount of money. By the end of the year, the total profit was ₹3000, and Kabir received a share of ₹1080. How much money did Masud invest after 4 months?