1. 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.

2. 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?

3. 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

4. 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?

5. Due to the annual simple interest rate decreasing from 6% to 5\(\frac{1}{2}\)%, a person's annual income decreased by 75 rupees. How much money had they deposited in the bank?

6. When Aslam Chacha retired from work, he received ₹1,00,000. He deposited part of the money in a bank and the rest in the post office. Every year, he receives ₹5400 as interest in total. If the annual simple interest rates of the bank and post office are 5% and 6% respectively, calculate and write how much money he deposited in each.

7. Rekha received ₹100,000 upon retirement. She deposited part of the amount in a bank and the rest in a post office, earning ₹5,400 as annual interest. The annual simple interest rates at the bank and post office are 5% and 6% respectively. How much money did she deposit in each place?

8. 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.

9. A man deposited a total of ₹29,000 in a bank in the names of his two daughters, aged 12 and 14, in such a way that when each turns 18, they would receive the same amount including principal and interest at a 10% rate of interest. Find how much money was deposited in the name of the elder daughter.

(a) 15000 (b) 16000 (c) 18000 (d) 20000

10. 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?

11. Gautam borrowed a certain amount of money from a cooperative bank at an annual simple interest rate of 12% to open a poultry farm. Every month, he has to pay ₹378 as interest. Calculate how much money he borrowed.

12. 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.

13. 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.

14. Under the condition that no interest will be charged if the money is repaid within two years, three friends borrowed ₹6000, ₹8000, and ₹5000 respectively from a cooperative bank to jointly purchase four cycle rickshaws. After two years, after deducting all expenses, their total income amounted to ₹30,400. They divided this income in proportion to their capital contributions and then repaid their individual bank loans. Now, calculate how much money each person will have left in hand and what the ratio of the remaining amounts will be.