1. 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?

2. In a partnership business, three friends invested capital amounts of ₹4,500, ₹6,000, and ₹9,000 respectively. After a certain period, their profit shares will be in the same ratio as their investments: \[ \text{Profit Ratio} = 4500 : 6000 : 9000 = 3 : 4 : 6 \] So, their respective shares of profit will be in the ratio 3 : 4 : 6.

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. 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?

5. 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.

6. In a business, if the ratio of the investments of A and B is \(\cfrac{1}{7} : \cfrac{1}{4}\), and the total profit at the end of the year is ₹11,000, determine their respective shares of the profit.

7. 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

8. In a partnership business, the capital ratio between A and B is 2:3, and the capital ratio between B and C is 6:5. If A's profit share is ₹400, what will be C's profit share?

(a) ₹ 500 (b) ₹ 600 (c) ₹ 700 (d) ₹ 800

9. In a partnership business, A, B, and C invest capital in the ratio \(\frac{2}{3}:\frac{4}{5}:\frac{3}{4}\). If the total profit is ₹26,600, what is B's share of the profit?

10. 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

11. In a business, the capital ratio of A and C is 2:1, and the capital ratio of A and B is 3:2. If the annual profit is ₹1,57,300, what will be B's share of the profit?

(a) ₹ 48,000 (b) ₹ 58,400 (c) ₹ 48,400 (d) ₹68,000

12. The capital ratio of three friends is \(\frac{1}{6}:\frac{1}{5}:\frac{1}{4}\). If the total profit at the end of the year is ₹37,000, determine the profit share of the third friend.

(a) ₹ 15,000 (b) ₹ 12,000 (c) ₹ 10,000 (d) ₹ 20,000

13. 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.

14. In a partnership business, the capital ratio of A, B, and C is 3:4:5. If A's profit share is 60 rupees less than C's profit share, then what was the total profit in the business?

15. In a business, Raju and Asif's capital ratio is 5:4, and if Raju receives ₹800 as his share of the total profit, Asif receives ₹1000.

16. 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.

17. In a partnership business, the ratio of the capital investments of A, B, and C is 6 : 5 : 4. After 4 months, A withdraws half of his capital. If the annual profit is ₹1212, what is each person’s share of the profit? Let me know if you'd like help solving it too. I'm ready.

18. In a business, the capital ratio between Raju and Asif is 5:4. If Raju receives ₹80 as his share of the profit, then Asif receives ₹100.

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. 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?

21. 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?

22. If the ratio of the capital investments of A, B, and C is \(\cfrac{1}{2} : \cfrac{1}{3} : \cfrac{1}{4}\) and the total profit is ₹520, then C's share of the profit will be

(a) ₹120 (b) ₹160 (c) ₹180 (d) ₹140

23. A and B start a joint business. At the end of the year, they share the profit in the ratio 2 : 3. If A invested ₹40,000, then how much did B invest?

(a) ₹ 50000 (b) ₹ 60000 (c) ₹ 40000 (d) ₹ 70000

24. 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.

25. In a partnership business, if the capital ratio between Samir and Idris is 2:3, and the capital ratio between Idris and Jasmin is 4:5, then determine the capital ratio among all three of them.

26. A, B, and C together start a business and make a profit of ₹36,400. The ratio of capital between A and B is 5:3, and the ratio between B and C is 5:4. What will be A’s share of the profit?

27. 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?

28. In a business, A and B invest in the ratio 3:2. After donating 5% of the profit, A receives ₹1197 as his share of the profit. What is the total profit?

29. 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.

30. In a partnership business, the ratio of the capital contributions of A, B, and C is 3:8:5. If A’s profit is ₹6,000 less than C’s profit, then what is the total profit of the business?