1. 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

2. 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

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. 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.

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

7. 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?

8. Amal and Bimal started a business. Amal invested ₹500 for 9 months, and Bimal invested some amount for 6 months in the business. The total profit in the business was ₹69, out of which Bimal received ₹46. The amount of capital invested by Bimal in the business is –

(a) ₹1500 (b) ₹3000 (c) ₹4500 (d) ₹6000

9. If Bimal invests ₹600 per month for 5 months and Tapan invests ₹500 per month for 9 months in a business, what will be the ratio of their profits?

(a) 2:3 (b) 3:2 (c) 1:3 (d) 1:2

10. 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.

11. Amal and Bimal started a business. Amal invested ₹500 for 9 months, while Bimal invested some amount for 6 months. The total profit of the business is ₹69, and Bimal received ₹46 as his share. What was Bimal's investment in the business?

(a) ₹ 1500 (b) ₹ 3000 (c) ₹ 4500 (d) ₹ 6000

12. 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?

13. 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?

14. 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

15. 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.

16. Toton invested 500 rupees for 9 months, and Mamon invested 600 rupees for 5 months in a business. Their profit ratio is 2:3.

17. 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

18. 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 ______.

19. 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.

20. Amal and Bimal started a business together. Amal invested ₹500 for 9 months, and Bimal invested an unknown amount for 6 months. The total profit from the business was ₹69, and Bimal received ₹46 from the profit. Find Bimal’s capital investment in the business.

(a) ₹ 1500 (b) ₹ 3000 (c) ₹ 4500 (d) ₹ 6000

21. 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

22. Sumana invested \(xy\) rupees for 9 months and Pritama invested \(x^2y\) rupees for 6 months in a business. The ratio of their profit shares is—

(a) \(xy:x^2y\) (b) \(3:2x\) (c) \(9:x\) (d) \(1:6x\)

23. 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?

24. A and B jointly started a business at the beginning of the year with investments of ₹18,000 and ₹21,000, respectively. After 6 months, A invested an additional ₹3,000 in the business. If their total profit at the end of the year is ₹7,200, what is the ratio of A and B's individual profit shares?

(a) 13 : 12 (b) 14 : 13 (c) 13 : 14 (d) 14 : 11

25. In a joint business, Sudip invested 10,000 rupees for 6 months, and Subhendu invested some amount for 8 months. If Subhendu receives \(\cfrac{4}{9}\) of the profit, then how much did he invest?

(a) ₹ 4000 (b) ₹6000 (c) ₹ 7000 (d) ₹ 8000

26. In a business, the capital ratio of Raju and Asim is \( 4:5 \), and their profit ratio is \( 2:3 \). If Raju invested for 10 months, then for how long did Asim invest?

(a) 1 years (b) 2 years (c) 6 month (d) 3 years

27. 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?

28. At the beginning of the year, Srikanta and Sadananda started a business with investments of 24,000 taka and 30,000 taka, respectively. After 5 months, Srikanta invested an additional 4,000 taka in the business. If the total profit at the end of the year is 27,716 taka, determine how much profit each person will receive.

29. 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?

30. In a business, Sujay and Palash invested capital in the ratio 4:5 and shared profit in the ratio 2:3. If Sujay invested money for 10 months, how long did Palash invest his money?