1. If partners invest their own capital in a business for the same duration, it is called a simple partnership.

2. If, without any other conditions, partners in a partnership business invest capital for the same duration, then it is called a _______.

3. If the partners' capital is invested in the business for different periods of time, it is called a simple partnership business.

4. In a partnership business, if the partners invest capital for an equal period without any other conditions, it is called a mixed partnership.

5. In a partnership business, if the partners’ individual capital remains invested in the business for an equal period of time, then it is called a ---------------- partnership business.

6. In a partnership business, when partners invest capital for different durations without any other conditions, it is called a _______.

7. A partnership business in which the partners invest capital for an equal duration without any specific conditions is called a simple partnership'

8. A invests ₹2000 for 8 months and B invests some amount for 5 months in a partnership business. The total profit from the business is ₹210, and A receives ₹140 as his share of the profit. What is B's capital?

9. If, without any other conditions, the partners in a partnership business invest capital for different durations, then it is called a ______.

10. A, B, and C started a business by investing ₹6,000, ₹8,000, and ₹10,000 respectively, with the condition that A would manage the business. For this, A would receive \(\frac{3}{20}\) of the total profit. The remaining profit would be divided among the three in proportion to their capital. If C received ₹391 more than B, what was the total profit?

11. 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

12. In a partnership business between two people, the total profit is ₹1,500. If Rajib’s capital investment is ₹6,000 and he receives ₹900 as profit, calculate Aftab’s capital investment in the business.

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

14. 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.

15. Amal and Bimal started a business. Amal invested ₹500 for 9 months, and Bimal invested some amount for 6 months in the business. The total profit in the business was ₹69, out of which Bimal received ₹46. The amount of capital invested by Bimal in the business is –

(a) ₹1500 (b) ₹3000 (c) ₹4500 (d) ₹6000

16. If the profit-sharing ratio of two friends in a partnership business is \(\cfrac{1}{2}:\cfrac{1}{3}\), then their capital ratio is—?

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

17. 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?

18. 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.

19. 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.

20. In a partnership business, the total profit is ₹1200. One partner invested ₹6000 and earned a profit of ₹900. Then, the capital invested by the other partner is ______.

21. If the partners' individual capital is invested over different periods of time, it is called a --------.

22. 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?

23. Anisur invested ₹500 for 9 months and David invested ₹600 for 5 months in a joint business. Their profit-sharing ratio will be _____ .

24. 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?

25. 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 ______.

26. In a partnership business, profit is distributed in proportion to the capital invested.

27. 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

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. The total profit in a partnership business is ₹1500. Rajib's capital investment is ₹6000, and his share of the profit is ₹900. Determine Aftab's capital investment.