1. At the beginning of the year, Souvik and Rahul started a business by investing ₹24,000 and ₹30,000 respectively. After 5 months, Souvik added an additional ₹4,000 to his capital. At the end of the year, the total profit was ₹27,716. Calculate how much profit each of them will receive.

2. At the beginning of the year, Mr. Pradip and Mrs. Amina invested ₹24,000 and ₹30,000, respectively, in a business. After five months, Mr. Pradip added ₹4,000 more to his capital. At the end of the year, the total profit was ₹27,716. Determine how much profit each person will receive.

3. At the beginning of the year, Pradeep Babu and Amina Bibi started a business with ₹24,000 and ₹30,000 respectively. After five months, Pradeep Babu added ₹4,000 more to the capital. At the end of the year, if there is a profit of ₹27,716, calculate how much profit each person will receive.

4. At the beginning of the year, Rabeya and Megha started a business with capital investments of ₹24,000 and ₹30,000 respectively. After five months, Rabeya added ₹4,000 more to her capital. At the end of the year, the business earned a profit of ₹27,716. Determine how much profit each person receives.

5. 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.

6. 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?

7. 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.

8. At the beginning of the year, Srikanta and Saifuddin purchased a minibus and started operating it by investing ₹2,40,000 and ₹3,00,000 respectively. Four months later, their friend Peter joined them with ₹81,000. Srikanta and Saifuddin withdrew amounts proportional to their original investments from Peter’s contribution. At the end of the year, the total profit was ₹39,150. How much profit will each of them receive?

9. At the beginning of the year, Srikanta and Saifuddin purchased a minibus and started operating it with investments of ₹2,40,000 and ₹3,00,000 respectively. After four months, their friend Peter joined them by contributing ₹81,000. Srikanta and Saifuddin withdrew amounts from the business in proportion to their original capital. At the end of the year, if there is a profit of ₹39,150, calculate how much profit each person will receive.

10. 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.

11. Nivedita and Uma started a business by investing ₹3,000 and ₹5,000 respectively. After 6 months, Nivedita added ₹4,000 more to her investment, while Uma withdrew ₹1,000. At the end of one year, the total profit was ₹6,175. Calculate the profit share of both.

12. At the beginning of the year, Srikanta and Sadananda started a business with investments of 24,000 taka and 30,000 taka, respectively. After 5 months, Srikanta invested an additional 4,000 taka in the business. If the total profit at the end of the year is 27,716 taka, determine how much profit each person will receive.

13. Niyamat Chacha and Korobi Didi jointly started a business with initial investments of 30,000 INR and 50,000 INR, respectively. After 6 months, Niyamat Chacha invested an additional 40,000 INR, while Korobi Didi withdrew 10,000 INR for personal needs. At the end of the year, if the total profit is 19,000 INR, determine how much each of them will receive.

14. Niyamat Chacha and Korobi Didi jointly started a business by investing ₹30,000 and ₹50,000 respectively. After 6 months, Niyamat Chacha invested an additional ₹40,000, while Korobi Didi withdrew ₹10,000 for personal use. At the end of the year, if the total profit is ₹19,000, calculate how much profit each person will receive.

15. 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.

16. A and B started a business by investing ₹3000 and ₹5000, respectively. After 6 months, A added ₹4000 more, but after another 6 months, A withdrew ₹1000. At the end of the year, the total profit was ₹6175. Determine how the profit should be distributed between A and B.

17. Initially, Arun and Ajay started a joint business with investments of ₹24,000 and ₹30,000, respectively. After a few months, Arun added ₹12,000 more to the business. At the end of the year, the business made a profit of ₹14,030, and Arun received ₹7,130 as his share of the profit. How many months later did Arun invest the additional amount in the business?

18. 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?

19. A, B, and C started a business with capital investments of ₹65,000, ₹52,000, and ₹91,000 respectively. After exactly one year, they made a profit of ₹14,400. If \(\frac{2}{3}\) of that profit is divided equally among them and the remaining portion is divided in proportion to their capital investments, how much profit will each person receive?

20. At the beginning of the year, Arun and Asraf started a joint business by investing ₹24,000 and ₹30,000 respectively. A few months later, Arun added another ₹12,000 to the business capital. At the end of the year, the business made a profit of ₹14,300, and Arun received ₹7,130 as his share of the profit. Determine how many months later Arun added the additional amount.

21. In a joint business, Sumedha, Rabeya, and Rina invest 4,000 rupees, 5,000 rupees, and 6,000 rupees, respectively. After 4 months, Sumedha adds another 2,000 rupees, and after another 4 months, Rina withdraws half of her capital. If the total profit at the end of the year is 6,900 rupees, how much profit will each person receive?

22. Jaya Kakima started a small handcrafted goods business with a capital of ₹10,000. After 6 months, Sulekha Didi joined the business with a capital of ₹14,000. The total profit at the end of one year was ₹5,100. Calculate and determine how much profit each of them will receive.

23. 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.

24. Rohit, Anish, and Soham started a business with capital investments of 1500 rupees, 1000 rupees, and 1750 rupees, respectively. At the end of the year, if the total profit is 425 rupees, how much profit did Anish receive?

(a) ₹ 100 (b) ₹ 150 (c) ₹ 200 (d) ₹ 400

25. 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.