1. 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.

2. At the beginning of the year, Pradip Babu and Amina Bibi started a business with ₹24,000 and ₹30,000 respectively. After 5 months, Pradip Babu added ₹4,000 more to his capital. At the end of the year, the total profit was ₹27,716. How much profit will each of them receive?

3. 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.

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, A, B, and C invest ₹1300, ₹5200, and ₹6500 as capital, respectively. At the end of the year, the total profit is ₹3000. How much profit will B receive?

(a) ₹ 500 (b) ₹ 1000 (c) ₹1200 (d) none of the above

6. 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?

7. 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?

8. At the beginning of the year, Souvik and Rahul started a business by investing ₹24,000 and ₹30,000 respectively. After 5 months, Souvik added an additional ₹4,000 to his capital. At the end of the year, the total profit was ₹27,716. Calculate how much profit each of them will receive.

9. A, B, and C started a business with capital investments of ₹65,000, ₹52,000, and ₹91,000 respectively. After exactly one year, they made a profit of ₹14,400. If \(\frac{2}{3}\) of that profit is divided equally among them and the remaining portion is divided in proportion to their capital investments, how much profit will each person receive?

10. In a business, A invests \(\cfrac{1}{3}\) of the capital. B invests an amount equal to the total investment of A and C. After one year, the profit is ₹72,000. How much will C receive?

(a) ₹ 11,000 (b) ₹ 10,000 (c) ₹ 12,000 (d) ₹13,000

11. In a partnership business, B's capital is \(1\frac{1}{2}\) times A's capital. After 4 months, B withdraws half of his capital, and after another 2 months, A withdraws \(\frac{1}{4}\) of his capital. If the total profit for the year is ₹6360, determine how much A will receive.

12. 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.

13. 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.

14. 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?

15. 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?

16. In a joint business, three friends invested in the ratio 6 : 4 : 3. After 4 months, the first friend withdrew half of his capital. Four months later, the total profit became ₹61,050. How much profit does each of them receive?

17. Three friends collected ₹8000, ₹10000, and ₹12000 respectively and started a business after borrowing some amount from the bank. At the end of the year, they made a profit of ₹13,400. From this profit, they repaid the bank’s yearly installment of ₹5000. The remaining amount was divided among them in proportion to their capital investment. Write the calculation showing how much profit each friend will receive.

18. At the beginning of the year, Pradeep Babu and Amina Bibi started a business with ₹24,000 and ₹30,000 respectively. After five months, Pradeep Babu added ₹4,000 more to the capital. At the end of the year, if there is a profit of ₹27,716, calculate how much profit each person will receive.

19. 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.

20. Three friends invested capital amounts of ₹6500, ₹5200, and ₹9100 respectively to start a business. After exactly one year, the business made a profit of ₹14,400. If \(\frac{2}{3}\) of this profit is divided equally among them and the remaining portion is shared according to their capital ratio, calculate how much profit each person receives.

21. 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.

22. 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?

23. In a partnership business, the capital ratio of Ram and Rahim is 3:4, and the capital ratio of Rahim and Jud is 5:6. If the annual profit is ₹590, how much will Rahim receive?

24. A, B, and C invested in a business in the ratio \(\frac{1}{6}:\frac{1}{5}:\frac{1}{4}\). After 4 months, A withdrew half of his capital. If the profit after another 8 months is ₹12,120, how much will A receive from it?

(a) 2400 (b) 4320 (c) 5400 (d) 6300

25. At the beginning of the year, Arun and Asraf started a joint business by investing ₹24,000 and ₹30,000 respectively. A few months later, Arun added another ₹12,000 to the business capital. At the end of the year, the business made a profit of ₹14,300, and Arun received ₹7,130 as his share of the profit. Determine how many months later Arun added the additional amount.

26. In a business, A's capital is twice that of B, and B's capital is four times that of C. What will be the profit-sharing ratio of A, B, and C?

(a) 1 : 4 : 8 (b) 2 : 4 : 8 (c) 8 : 2 : 4 (d) 8 : 4 : 1

27. 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

28. A, B, and C start a business where their capital ratio is \(\cfrac{1}{2} : \cfrac{1}{3} : \cfrac{1}{4}\). After 4 months, A withdraws half of their capital, and after another 8 months, the total profit is ₹2,024. How much will A receive?

(a) ₹ 900 (b) ₹ 836 (c) ₹ 700 (d) ₹ 736

29. A joint business. On January 1st, A, B, and C invest 4,000 rupees, 5,000 rupees, and 6,000 rupees, respectively. On May 1st, A invests an additional 2,000 rupees in the business. On September 1st, C withdraws half of their capital. By December 31st, if the total profit is 6,900 rupees, how much profit will each person receive?

30. In a business, A and B invested ₹80,000 and ₹30,000, respectively. At the end of the year, the business made a profit of 12\(\frac{1}{2}\)% . How much will A and B receive?