1. 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?

2. 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?

3. Kaushik and Sanjay started a joint business by investing ₹12,500 and ₹8,500 respectively. They agreed that 40% of the profit would be equally distributed between them, and the remaining profit would be shared in the ratio of their capitals. If Kaushik received ₹1,950 as profit, what was Sanjay's share of the profit?

4. 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.

5. Sabbah, Deepak, and Pritha started a joint business by investing ₹6000, ₹8000, and ₹9000 respectively. A few months later, Sabbah invested an additional ₹3000. At the end of the year, the total profit was ₹3000, and Pritha received ₹1080 as her share of the profit. Determine when Sabbah made the additional investment of ₹3000.

6. At the beginning of the year, Arun and Ajay jointly started a business with investments of ₹24,000 and ₹30,000 respectively. After a few months, Arun added ₹12,000 more to the business capital. At the end of the year, the total profit from the business was ₹14,030, and Arun received ₹7,130 as his share of the profit. Determine how many months later Arun invested the additional ₹12,000.

7. 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?

8. A, B, and C started a business together with capital investments of ₹6,000, ₹8,000, and ₹9,000 respectively. After a few months, A invested an additional ₹3,000 into the business. At the end of the year, the total profit was ₹30,000, and C received ₹10,800 as his share of the profit. When did A invest the additional ₹3,000?

9. In a joint business venture, Samir, Idrish, and Anthony invested ₹4000, ₹5000, and ₹6000 respectively. After 4 months, Anthony withdrew half of his capital. At the end of the year, the total profit was ₹3900. Determine how much profit each person will receive.

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. Amal and Bimal started a business. Amal invested ₹500 for 9 months, while Bimal invested some amount for 6 months. The total profit of the business is ₹69, and Bimal received ₹46 as his share. What was Bimal's investment in the business?

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

12. 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?

13. In a business, Ram invested ₹1600, and Rahim invested ₹1000 for 8 months. If both receive equal profit shares, then Ram's money was invested for –?

(a) 3 month (b) 4 month (c) 5 month (d) none of the above

14. A, B, and C started a business with initial capitals of 6,000 rupees, 8,000 rupees, and 9,000 rupees, respectively. A invested an additional 3,000 rupees after a few months. At the end of the year, the total profit was 3,000 rupees, and C received a share of 1,080 rupees from the profit. Determine how many months later A made the additional investment of 3,000 rupees.

15. Three friends collected ₹8000, ₹10000, and ₹12000 respectively and started a business after borrowing some amount from the bank. At the end of the year, they made a profit of ₹13,400. From this profit, they repaid the bank’s yearly installment of ₹5000. The remaining amount was divided among them in proportion to their capital investment. Write the calculation showing how much profit each friend will receive.

16. Masud, Nibedita, and Kabir jointly started a business by investing ₹6000, ₹8000, and ₹9000 respectively. After 4 months, Masud invested an additional amount of money. By the end of the year, the total profit was ₹3000, and Kabir received a share of ₹1080. How much money did Masud invest after 4 months?

17. In a partnership business, the total profit is ₹1,500. If Rajib's capital is ₹6,000 and his share of the profit is ₹900, what is Ajit’s capital?

18. At the beginning of the year, Samir and Idrish started a joint business with investments of ₹24,000 and ₹30,000 respectively. A few months later, Samir added another ₹12,000 to the business. At the end of the year, the total profit was ₹14,030, and Samir received ₹7,130 as his share of the profit. Find out how many months later Samir added the extra ₹12,000.

19. A, B, and C made a joint business profit of ₹1,500. If A's capital : B's capital = 2 : 3 and B's capital : C's capital = 2 : 5, then C's share of the profit is...

(a) ₹ 900 (b) ₹ 1000 (c) ₹ 1100 (d) ₹ 1200

20. Three individuals invested capital amounts of ₹200, ₹150, and ₹250 respectively. At the end of the year, if the first individual received a profit of ₹40, what was the total profit earned by the business? .

21. Sabba, Deepak, and Pritha started a business together by investing ₹6000, ₹8000, and ₹9000 respectively. A few months later, Sabba invested an additional ₹3000. At the end of the year, the total profit was ₹3000, and Pritha received ₹1080 as her share of the profit. Determine when Sabba invested the additional ₹3000.

22. "A and B make a profit of ₹1,050 in a business. If A's capital is ₹900 and his share of the profit is ₹630, what is B's capital?"

23. At the beginning of the year, A and B jointly started a business by investing ₹24,000 and ₹30,000 respectively. After five months, A added another ₹12,000 to the business. At the end of the year, the total profit from the business was ₹14,030. Determine each person's share of the profit.

24. A man sold two bicycles. He sold each for ₹1995. On one, he made a 15% profit, and on the other, he incurred a 15% loss. What was his total loss?

(a) 2.25% (b) 1% (c) 2% (d) None of the above

25. In a partnership business, the total profit is ₹1500. Rajib's capital is ₹6000 and his share of the profit is ₹900. What is Pradip's capital?

26. In a business, Rahul and Amit's capital investment ratio is 4:5. If 10% of the profit is retained as business capital and the remaining amount is distributed, and Rahul receives ₹16,000, what was the total profit?

(a) ₹ 50,000 (b) ₹ 40,000 (c) ₹ 55,000 (d) ₹ 80,000

27. 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?

28. Mr. Nilesh and Ms. Rahima jointly started a business with initial capital investments of 30,000 rupees and 50,000 rupees, respectively. After 6 months, Mr. Nilesh invested an additional 40,000 rupees, while Ms. Rahima withdrew 10,000 rupees for personal use. At the end of the year, if the total profit was 19,000 rupees, how much profit will each of them receive?

29. In a joint business, the total profit is 15,000 taka. If the first person's capital is 6,000 taka and their share of the profit is 9,000 taka, then what is the capital of the second person?

30. 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.