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?
Explanation
The profit-sharing ratio is calculated based on the time-weighted investments: A's investment = (3000 * 8) + (2000 * 4) = 24000 + 8000 = 32000; B's investment = (4000 * 8) + (5000 * 4) = 32000 + 20000 = 52000. The ratio of A to B is 32000:52000, which simplifies to 8:13. Therefore, A's share = (8 / (8 + 13)) * 630 = (8/21) * 630 = Rs.240.