1. 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

2. 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?

3. In a partnership business, the capitals of three friends are ₹200, ₹150, and ₹250 respectively. After the same period of time, their profit-sharing ratio will be ______.

4. In a partnership business, if the profit shares of three friends are in the ratio \(\frac{1}{2}:\frac{1}{3}:\frac{1}{4}\), then their capital ratio will be—

(a) 2:3:4 (b) 2:5:4 (c) 6:4:3 (d) 1:3:4

5. 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 \(ax : by : cz\).

6. 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?

7. 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

8. 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?

9. 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

10. 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

11. 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

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. 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.

14. If two individuals invest \(a\) currency units and \(b\) currency units in a business for \(x\) and \(y\) months respectively, then their profit ratio is -

(a) \(ay:bx\) (b) \(ab:xy\) (c) \(ax:by\) (d) none of the above

15. 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?

16. In a partnership business, the capital ratio of three individuals is \(\cfrac{1}{4}:\cfrac{1}{3}:\cfrac{1}{8}\). If the second person's profit is ₹500 more than the third person's profit, then the total profit in the business was –?

17. In a joint business, the capital of three friends is ₹200, ₹150, and ₹250, respectively. After the same period, their profit ratio will be –?

(a) 5:3:4 (b) 4:3:5 (c) 3:5:4 (d) 5:4:3

18. Under the condition that no interest will be charged if the money is repaid within two years, three friends borrowed ₹6000, ₹8000, and ₹5000 respectively from a cooperative bank to jointly purchase four cycle rickshaws. After two years, after deducting all expenses, their total income amounted to ₹30,400. They divided this income in proportion to their capital contributions and then repaid their individual bank loans. Now, calculate how much money each person will have left in hand and what the ratio of the remaining amounts will be.

19. 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?

20. 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 ..........

21. If Kamal’s capital is \(1\cfrac{1}{2}\) times that of Amal’s, then their profit-sharing ratio will be 2:3.

22. 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.

23. 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.

24. In a partnership business, if A, B, and C's capital ratio is 3:8:5 and A’s profit is 80 rupees less than C’s profit, then what was the total profit of the business?

25. In a joint business venture, one of the two friends invests ₹\(xyz\) for \(y\) months, while the other invests ₹\(y^2z\) for \(x\) months. At the end of the contract, their profit-sharing ratio will be \(x : y\).

26. 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

27. 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?

28. In a partnership business, the capital ratio of three individuals is 3:8:5, and the profit of the first person is ₹60 less than the profit of the third person. Find the total profit of the business.

29. 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?

30. 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.