1. 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

2. A, B, and C made a total profit of ₹15,000 in a joint business. If the capital ratio between A and B is 2:3 and between B and C is 2:5, then how much profit will B receive?

(a) 4500 (b) 9000 (c) 2400 (d) 3600

3. Ajay, Bijay, and Sujay invest capital in a business in the ratio \(\cfrac{1}{2} : \cfrac{1}{3} : \cfrac{1}{5}\). If the total profit of the business is ₹1550, what is Sujay's share of the profit?

(a) ₹ 600 (b) ₹ 300 (c) ₹ 150 (d) ₹ 250

4. The ratio of the capital investments of A, B, and C is 2:3:5, and the ratio of their investment durations is 3:4:5. Then, the profit will be distributed in the ratio _____.

5. If the profit-sharing ratio of three friends in a partnership business is \(\cfrac{1}{2} : \cfrac{1}{3} : \cfrac{1}{4}\), then the ratio of their capital investment will be?

(a) 2:3:4 (b) 2:6:3 (c) 6:4:3 (d) 1:2:1

6. 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?

7. 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

8. 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?

9. 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?

10. In a business, if the capital ratio of A, B, and C is 2:3:5 and their time of investment ratio is 3:4:5, then in what ratio will the profit be distributed?

(a) 3:4:5 (b) 5:8:9 (c) 8:9:11 (d) 6:12:15

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. 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?

13. In a business, the capital ratio of A and B is \(1:\frac{4}{5}\). If A's profit is 80 rupees, then B's profit will be 100 rupees.

14. If the capital ratio of A, B, and C is \(\frac{1}{6}:\frac{1}{5}:\frac{1}{4}\), then the profit distribution will be in the ratio 4:5:6.

15. If A's capital is \(2\frac{1}{2}\) times B's capital, then the profit ratio of A and B will be 2:5.

16. In a partnership business, the capital ratio of Reena, Beena, and Sabina is 8:3:5. If Beena's profit is ₹60 less than Sabina's profit, then what was the total profit in the business?

17. 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.

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, if the capital ratio of three members is \(a : b : c\) and the time invested is in the ratio \(x : y : z\), then their profit ratio will be \(ax : by : cz\).

20. In a partnership business, the capital ratio of Ila, Rahima, and Bela is 3:8:5. If Ila’s profit is ₹600 less than Bela’s, then what was the total profit of the business?

21. In a joint business involving three individuals, the ratio of invested capital is 3:4:6, and the ratio of profit earned is 3:2:9. Then, the ratio of their invested time will be ..........

22. 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?

23. 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.

24. 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?

25. 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?

26. The capital ratio of three people is 4:8:9, and the difference in profit between the first and third person is ₹200. What is the profit share of the second person?

27. 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

28. 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

29. A, B, and C are partners in a joint business. Their capital ratio is \(\frac{1}{2} : \frac{1}{3} : \frac{1}{4}\). After 4 months, A withdraws half of his capital. After another 4 months, the total profit is ₹6072. What is A’s share of the profit?

30. 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.