1. 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

2. In a partnership business, the capital ratio of A, B, and C is \(\frac{1}{6}:\frac{1}{5}:\frac{1}{4}\). If the total profit at the end of the year is 3700 currency units, determine C's profit.

3. In a partnership business, the capital ratio of Sameer, Idrish, and Anthony is \(\frac{1}{6} : \frac{1}{5} : \frac{1}{4}\). If the total profit at the end of the year is ₹3,700, find Anthony's share of the profit.

4. A and B started a joint business by investing ₹6,200 and ₹10,000 respectively. They agreed that A would receive 20% of the profit for managing the business, and 10% of the remaining profit would be kept aside as savings. The rest of the profit would be divided between A and B in proportion to their capital investments. If the total profit at the end of the year is ₹45,000, how much money will A receive in total?

5. In a business, three friends have their capital investment in the ratio 2:3:4. If in the following year they increase their capital by 10%, 15%, and 20%, respectively, in what ratio will the profit be distributed among them at the end of the second year?

(a) 44 : 69 : 96 (b) 69 : 44 : 96 (c) 96 : 69 : 44 (d) 45 : 96 : 63

6. The capital ratio of A, B, and C is \(\frac{1}{2} : \frac{1}{3} : \frac{1}{4}\). If B's profit at the end of the year is 240 rupees, determine the total business profit.

(a) ₹ 720 (b) ₹ 780 (c) ₹ 760 (d) ₹ 750

7. The capital ratio of A, B, and C is \(\frac{1}{2} : \frac{1}{3} : \frac{1}{4}\). If B's profit at the end of the year is ₹240, determine the total business profit.

(a) ₹ 720 (b) ₹ 760 (c) ₹ 780 (d) ₹ 750

8. In a joint business, both Samar and Mahim initially invested ₹20,000 each. After 6 months, Samar added ₹5,000 to his investment, while Mahim withdrew ₹5,000. If the total profit at the end of the year is ₹32,000, calculate each of their shares of the profit.

9. 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.

10. In a partnership business, A, B, and C have invested in the ratio \( \frac{1}{6}:\frac{1}{5}:\frac{1}{4} \). At the end of the year, if the total profit is ₹3700, how much profit will B receive?

11. 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.

12. 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.

13. The ratio of the capital of A, B, and C is \(\frac{1}{6}:\frac{1}{5}:\frac{1}{4}\). If C's profit at the end of the year is ₹1500, find the total profit.

14. In a partnership business, the capital ratio of A, B, and C is \(\frac{1}{6}:\frac{1}{5}:\frac{1}{4}\). If the total profit at the end of the year is 7400 rupees, what will be B's share of the profit?

15. 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.

16. In a partnership business, Samir, Idrish, and Antony’s capital ratio is \(\frac{1}{6} : \frac{1}{5} : \frac{1}{4}\). At the end of the year, if the total profit is ₹3,700, calculate how much profit Antony will receive.

17. In a partnership business, the capital ratio of three friends is \(\frac{1}{4} : \frac{1}{3} : \frac{1}{2}\). If the total profit after one year is ₹3,900, what will be each of their shares of the profit?

18. In a partnership business, Ratan, Suresh, and Ramesh invested in the ratio \(\frac{1}{6} : \frac{1}{5} : \frac{1}{4}\). If the profit at the end of the year is ₹3700, what is Ramesh's share of the profit?

(a) ₹ 1400 (b) ₹ 1200 (c) ₹ 1500 (d) ₹ 1600

19. At the beginning of the year, in a joint business, the capital ratio of A and B is 2:3, and the capital ratio of B and C is 4:5. If at the end of the year, C's share of the profit is ₹300, then how much profit should A receive?

20. 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?

21. Two friends start a partnership business by investing ₹40,000 and ₹50,000 respectively. They agree that 50% of the profit will be shared equally, and the remaining 50% will be divided in the ratio of their investments. If the first friend’s share of the profit is ₹800 less than the second friend’s share, then what is the first friend’s profit?

22. Rohit, Anish, and Soham started a business with capital investments of 1500 rupees, 1000 rupees, and 1750 rupees, respectively. At the end of the year, if the total profit is 425 rupees, how much profit did Anish receive?

(a) ₹ 100 (b) ₹ 150 (c) ₹ 200 (d) ₹ 400

23. In a partnership business, the capital ratio of A and B is 3:2. After donating 5% of the profit, A receives ₹4,275 as their share of the profit. Find the total profit.

(a) ₹ 7500 (b) ₹ 5300 (c) ₹ 8500 (d) ₹ 6300

24. 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?

25. In a joint business, B's capital was \(1\frac{1}{2}\) times A's capital. After 4 months, B withdrew half of his capital, and after another 2 months, A withdrew one-fourth of his capital. At the end of the year, the total profit was ₹6,360. Determine the share of each person's profit.

26. In a partnership business, the ratio of A and B's capital is 2:3, and the ratio of B and C's capital is 4:5. If the difference in profit between A and C is ₹210, determine B's profit.

27. The capital ratio of two friends is 3:5, and the difference in their profits is 40 currency units. Determine the profit of the first friend.

28. In a joint business, the capital ratio of A, B, and C is \(\frac{1}{2}:\frac{1}{3}:\frac{1}{4}\). After 4 months, A withdraws half of his capital, and after another 4 months, the total profit amounts to 61,050 rupees. Determine each person's share of the profit.

29. A, B, and C started a business by investing ₹6,500, ₹5,200, and ₹9,100 respectively. After exactly one year, they made a profit of ₹14,400. If \(\cfrac{2}{3}\) of the profit is divided equally among them and the remaining part is shared in the ratio of their investments, find out how much profit each person will receive.

30. In a business, the capital contributions of A, B, and C are in the ratio \[ \cfrac{1}{x} : \cfrac{1}{y} : \cfrac{1}{z} \] If there is a loss of ₹z at the end of the year, determine C's share of the loss.