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. 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. 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.

4. Jayanta, Ajit, and Kunal jointly started a partnership business with a total capital of ₹15,000. At the end of the year, they earned profits of ₹800, ₹1,000, and ₹1,200 respectively. Profit ratio = 800 : 1000 : 1200 = 4 : 5 : 6 Total capital = ₹15,000 Sum of ratio parts = 4 + 5 + 6 = 15 Jayanta’s capital = ₹\(\frac{4}{15} × 15,000 = 4,000\) Ajit’s capital = ₹\(\frac{5}{15} × 15,000 = 5,000\) Kunal’s capital = ₹\(\frac{6}{15} × 15,000 = 6,000\)

5. 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

6. 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

7. 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?

8. 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

9. 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

10. 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

11. 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?

12. 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 ..........

13. In a business, the ratio of Lalu and Bhulu's capital is 3:2. If Bhulu's investment period is 4 months, for how many months should Lalu invest so that the profit ratio becomes 9:4?

14. In a business, the capital ratio of Raju and Asim is \( 4:5 \), and their profit ratio is \( 2:3 \). If Raju invested for 10 months, then for how long did Asim invest?

(a) 1 years (b) 2 years (c) 6 month (d) 3 years

15. 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

16. 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?

17. 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

18. 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 _____.

19. 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.

20. 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

21. 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.

22. 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?

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. In a partnership business, if the ratio of my sister's capital to mine is 2:3 and the ratio of my capital to my elder sister's is 7:9, then what is the ratio of my sister's, mine, and my elder sister's capital?

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. In a joint business, the capital ratio of three individuals is 5:8:3, and the second person's profit is ₹100 more than the third person's. What is the total profit in the business?

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 business, the investment duration ratio of A, B, and C is 5:6:4, and the profit ratio is 5:3:12. What is the ratio of their capital investments?

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

29. 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

30. Roni's capital is \(1\frac{1}{2}\) times that of Tuhin, and their profit-sharing ratio is 2:3.