Out of the three options provided, the correct answer is option 4, which is 10,800.

To understand why this is the correct answer, let`s analyze the given information.

A, B, and C are three individuals starting a business together. They invest 7,000, 8,000, and 12,000 respectively.

After a year, B receives 3,200 as his share of the profit.

If B`s share is 3,200, the total profit must be the sum of B`s share and the remaining profit distributed to A and C.

To find the total profit, we need to calculate the individual shares of A and C.

The ratio of their investments is 7,000:8,000:12,000, which simplifies to 7:8:12.

Let`s assume that x is the total profit.

Based on the ratio of their investments, A`s share would be (7/27) * x and C`s share would be (12/27) * x.

Adding B`s share of 3,200 to A and C`s shares, we have:

(7/27) * x + (12/27) * x +