1. Supriya, Uma, and Megha started a business with initial investments of 6000 rupees, 8000 rupees, and 9000 rupees, respectively. After a few months, Supriya invested an additional 3000 rupees. At the end of the year, the total profit was 3000 rupees, and Megha received a profit share of 1080 rupees. Determine when Supriya invested the additional 3000 rupees.

2. 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?

3. 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?

4. Deepak, Uma, and Pritha started a business together with capital investments of 6000 rupees, 4000 rupees, and 9000 rupees, respectively. After a few months, Deepak invested an additional 3000 rupees. At the end of the year, the total profit was 3000 rupees, and Pritha received a dividend of 1080 rupees. Determine when Deepak invested the additional 3000 rupees.

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. 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?

7. 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.

8. A and B jointly started a business at the beginning of the year with investments of ₹18,000 and ₹21,000, respectively. After 6 months, A invested an additional ₹3,000 in the business. If their total profit at the end of the year is ₹7,200, what is the ratio of A and B's individual profit shares?

(a) 13 : 12 (b) 14 : 13 (c) 13 : 14 (d) 14 : 11

9. A bank provides an annual simple interest rate of 5%. At the beginning of the year, Mr. Dip deposited 15,000 rupees. Three months later, he withdrew 3,000 rupees, and three months after withdrawing the amount, he deposited 4,000 rupees again. At the end of the year, how much money will Mr. Dip receive from the bank, including interest?

10. 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.

11. 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.

12. 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.

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. 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.

15. 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

16. 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?

17. 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?

18. 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.

19. A joint business. On January 1st, A, B, and C invest 4,000 rupees, 5,000 rupees, and 6,000 rupees, respectively. On May 1st, A invests an additional 2,000 rupees in the business. On September 1st, C withdraws half of their capital. By December 31st, if the total profit is 6,900 rupees, how much profit will each person receive?

20. 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.