1. 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

2. 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

3. A, B, and C started a business together with capital investments of ₹6,000, ₹8,000, and ₹9,000 respectively. After a few months, A invested an additional ₹3,000 into the business. At the end of the year, the total profit was ₹30,000, and C received ₹10,800 as his share of the profit. When did A invest the additional ₹3,000?

4. 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?

5. 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?

6. A, B, and C started a business by investing ₹6,000, ₹8,000, and ₹10,000 respectively, with the condition that A would manage the business. For this, A would receive \(\frac{3}{20}\) of the total profit. The remaining profit would be divided among the three in proportion to their capital. If C received ₹391 more than B, what was the total profit?

7. 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?

8. 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?

9. 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.

10. 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

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

12. 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.

13. P started a business with a capital of ₹12,000. After a few months, Q joined the same business with a capital of ₹16,000. After 9 months from Q’s joining, both P and Q received equal amounts of profit. For how many months was P involved in the business?

(a) 6 months (b) 3 months (c) 9 months (d) 12 months

14. 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

15. Deepak, Uma, and Pritha started a business together with capital investments of 6000 rupees, 4000 rupees, and 9000 rupees, respectively. After a few months, Deepak invested an additional 3000 rupees. At the end of the year, the total profit was 3000 rupees, and Pritha received a dividend of 1080 rupees. Determine when Deepak invested the additional 3000 rupees.

16. 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.

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

18. At the beginning of the year, Mr. Pradip and Mrs. Amina invested ₹24,000 and ₹30,000, respectively, in a business. After five months, Mr. Pradip added ₹4,000 more to his capital. At the end of the year, the total profit was ₹27,716. Determine how much profit each person will receive.

19. 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

20. 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

21. 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?

22. Sabba, Deepak, and Pritha started a business together by investing ₹6000, ₹8000, and ₹9000 respectively. A few months later, Sabba invested an additional ₹3000. At the end of the year, the total profit was ₹3000, and Pritha received ₹1080 as her share of the profit. Determine when Sabba invested the additional ₹3000.

23. 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?

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. 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.

26. Supriya, Uma, and Megha started a business with initial investments of 6000 rupees, 8000 rupees, and 9000 rupees, respectively. After a few months, Supriya invested an additional 3000 rupees. At the end of the year, the total profit was 3000 rupees, and Megha received a profit share of 1080 rupees. Determine when Supriya invested the additional 3000 rupees.

27. A, B, and C started a business with initial capitals of 6,000 rupees, 8,000 rupees, and 9,000 rupees, respectively. A invested an additional 3,000 rupees after a few months. At the end of the year, the total profit was 3,000 rupees, and C received a share of 1,080 rupees from the profit. Determine how many months later A made the additional investment of 3,000 rupees.

28. 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

29. Sabbah, Deepak, and Pritha started a joint business by investing ₹6000, ₹8000, and ₹9000 respectively. A few months later, Sabbah invested an additional ₹3000. At the end of the year, the total profit was ₹3000, and Pritha received ₹1080 as her share of the profit. Determine when Sabbah made the additional investment of ₹3000.

30. At the beginning of the year, Arun and Ajay jointly started a business with investments of ₹24,000 and ₹30,000 respectively. After a few months, Arun added ₹12,000 more to the business capital. At the end of the year, the total profit from the business was ₹14,030, and Arun received ₹7,130 as his share of the profit. Determine how many months later Arun invested the additional ₹12,000.