A, B and C start a business by investing 7,000, 8,000 and 12,000 respectively. After a year, B gets 3,200 as his share of profit. What is the total profit?

In a partnership business, profits are distributed among partners in the ratio of their capital investments when the time period is constant. The investments of A, B, and C are 7,000, 8,000, and 12,000 respectively. By simplifying these values, the profit-sharing ratio is determined as 7:8:12. According to the problem, B's share of the profit is 3,200. Since B's ratio is 8 parts, we can calculate the value of one part as 3,200 divided by 8, which equals 400. The total profit corresponds to the sum of the ratio parts: 7 + 8 + 12 = 27 parts. Therefore, the total profit is 27 multiplied by 400, resulting in 10,800. This calculation follows the standard formula where a partner's share equals their investment divided by total investment multiplied by total profit.