1. In a partnership business, Sujoy invests ₹500 for 9 months, and Salma invests ₹600 for 5 months. Their profit-sharing ratio will be 3:2.

2. If A invests ₹500 for 9 months and B invests ₹600 for 5 months in a business, their profit ratio will be _____.

3. A invests ₹5000 for 9 months, and B invests ₹6000 for 5 months in a business. Their profit-sharing ratio will be:

(a) 3:2 (b) 5:6 (c) 6:5 (d) 9:5

4. Pallavi invests ₹500 for 9 months, and Rajiya invests ₹600 for 5 months in a business. The profit will be distributed between them in the ratio –

(a) 3:2 (b) 5:6 (c) 6:5 (d) 9:5

5. If Raima invests 600 rupees for 5 months and Susmita invests 500 rupees for 9 months in a business, their profit share ratio will be ______.

6. Pallabi invests ₹500 for 9 months and Raziya invests ₹600 for 5 months in a business. What is the ratio in which the profit should be divided between them?

7. In a business, if A invests ₹5000 for 4 months, and B invests ₹4000 for 12 months, the ratio of A and B's investments will be –

(a) 5:4 (b) 2:3 (c) 5:6 (d) 3:2

8. Anisur invested ₹500 for 9 months and David invested ₹600 for 5 months in a joint business. Their profit-sharing ratio will be _____ .

9. A invests 500 rupees for 9 months, and B invests 600 rupees for 5 months in the business. In what ratio will the profit be distributed between them?

10. Pallabi invested ₹500 for 9 months and Rajiya invested ₹600 for 5 months in a business. The profit will be divided between them in the ratio of their capital-months.

(a) 3:2 (b) 5:6 (c) 6:5 (d) 9:5

11. In a joint business, A invests ₹600 more per month than B. B invests for \(7\cfrac{1}{2}\) months, while A invests for 2 months longer than B. If the total profit is ₹620 and B receives ₹140 less than A, what is the amount of B's capital investment?

(a) ₹ 2400 (b) ₹ 2700 (c) ₹ 3000 (d) ₹ 3500

12. Pallabi invests 500 rupees for 9 months, and Rajiya invests 600 rupees for 5 months in a business. The profit will be distributed between them in the ratio –

(a) 3:2 (b) 5:9 (c) 6:5 (d) 9:5

13. Amal invests ₹500 for 9 months, and Bimal invests ₹600 for 5 months in a business. Find the ratio in which the profit is distributed.

(a) 3:02 (b) 5:06 (c) 6:05 (d) 9:05

14. Ashish invested ₹600 for 5 months and Tarun invested ₹500 for 9 months to start a business. The ratio in which the profit will be distributed between them is —

(a) 3:2 (b) 4:3 (c) 6:5 (d) 2:3

15. In a business, the ratio of Lalu and Bhulu's capital is 3:2. If Bhulu's investment period is 4 months, for how many months should Lalu invest so that the profit ratio becomes 9:4?

16. In a business, if two individuals invest \(x\) rupees and \(y\) rupees for 9 months and 6 months respectively, then their profit share ratio will be?

(a) \(2x:3y\) (b) \(3x:2y\) (c) \(x:y\) (d) \(2y:5x\)

17. John invests 800 INR for 5 months, and Paul invests 500 INR for 6 months in a business. The ratio in which the profit will be distributed between them is? (Question)

(a) 3:2 (b) 5:6 (c) 4:3 (d) 8:5

18. In a joint business venture, Samir, Idrish, and Anthony invested ₹4000, ₹5000, and ₹6000 respectively. After 4 months, Anthony withdrew half of his capital. At the end of the year, the total profit was ₹3900. Determine how much profit each person will receive.

19. At the beginning of the year, Srikanta and Saifuddin purchased a minibus and started operating it by investing ₹2,40,000 and ₹3,00,000 respectively. Four months later, their friend Peter joined them with ₹81,000. Srikanta and Saifuddin withdrew amounts proportional to their original investments from Peter’s contribution. At the end of the year, the total profit was ₹39,150. How much profit will each of them receive?

20. In a joint business, Sumedha, Rabeya, and Rina invest 4,000 rupees, 5,000 rupees, and 6,000 rupees, respectively. After 4 months, Sumedha adds another 2,000 rupees, and after another 4 months, Rina withdraws half of her capital. If the total profit at the end of the year is 6,900 rupees, how much profit will each person receive?

21. Mr. Nilesh and Ms. Rahima jointly started a business with initial capital investments of 30,000 rupees and 50,000 rupees, respectively. After 6 months, Mr. Nilesh invested an additional 40,000 rupees, while Ms. Rahima withdrew 10,000 rupees for personal use. At the end of the year, if the total profit was 19,000 rupees, how much profit will each of them receive?

22. Amal invests 500 taka for 9 months, and Bimal invests 600 taka for 5 months in a business. If the total profit is 125 taka, how much profit will Amal receive?

23. Amal and Bimal start a business. Amal invests 500 currency units for 9 months, while Bimal invests some amount for 6 months. The total profit in the business is 69 currency units, and Bimal receives a profit of 46 currency units. What is his principal investment?

24. Niyamat Chacha and Korobi Didi jointly started a business with initial investments of 30,000 INR and 50,000 INR, respectively. After 6 months, Niyamat Chacha invested an additional 40,000 INR, while Korobi Didi withdrew 10,000 INR for personal needs. At the end of the year, if the total profit is 19,000 INR, determine how much each of them will receive.

25. Niyamat Chacha and Korobi Didi jointly started a business by investing ₹30,000 and ₹50,000 respectively. After 6 months, Niyamat Chacha invested an additional ₹40,000, while Korobi Didi withdrew ₹10,000 for personal use. At the end of the year, if the total profit is ₹19,000, calculate how much profit each person will receive.

26. At the beginning of the year, Srikanta and Saifuddin purchased a minibus and started operating it with investments of ₹2,40,000 and ₹3,00,000 respectively. After four months, their friend Peter joined them by contributing ₹81,000. Srikanta and Saifuddin withdrew amounts from the business in proportion to their original capital. At the end of the year, if there is a profit of ₹39,150, calculate how much profit each person will receive.

27. In a joint business venture, one of the two friends invests ₹\(xyz\) for \(y\) months, while the other invests ₹\(y^2z\) for \(x\) months. At the end of the contract, their profit-sharing ratio will be \(x : y\).

28. In a partnership business, A invests ₹12,000. After some time, B joins the business and invests ₹16,000. After 9 months, both A and B receive equal profits. For how many months was A's money invested in the business?

29. Three friends purchase a bus by investing ₹1,20,000, ₹1,50,000, and ₹1,10,000 respectively. The first friend works as the driver, while the other two work as conductors. They decide that \(\frac{2}{5}\) of the income will be distributed based on work in the ratio 3 : 2 : 2, and the remaining amount will be divided according to their capital investment. If the total income in a certain month is ₹29,260, determine how much each person will receive.

30. A invests ₹2000 for 8 months and B invests some amount for 5 months in a partnership business. The total profit from the business is ₹210, and A receives ₹140 as his share of the profit. What is B's capital?