1.A and B started a business with investments of Rs.3000 and Rs.4000 respectively. After 8 months, A reduced his investment by Rs.1000, while B increased his investment by Rs.1000. At the end of one year, the total profit was Rs.630. What is A's share of the profit?
2.Partners A and B invest in a business with capitals in the ratio 7:9. After 8 months, A withdraws his investment. Given that the profit is shared in the ratio 8:9, determine the duration for which B’s capital was invested.
3.A and B started a partnership by investing Rs. 25,000 and Rs. 30,000 respectively. After 4 months, C joined the partnership with an investment of Rs. 35,000. What amount does C receive from an annual profit of Rs. 47,000?
4.Four partners A, B, C, and D contribute to a business. A invests one-third of the total capital, B invests one-fourth, C invests one-fifth, and D contributes the remaining amount. If the total profit is Rs. 2460, what is A's share of the profit?
5.A, B, and C invested Rs. 6300, Rs. 4200, and Rs. 10500 respectively in a joint business venture. If the total profit after one year is Rs. 12,100, what is A's portion of the profit?