A & B started a partnership business. A's investment was thrice the investment of B and the period of his investment was two times the period of investments of B. If B received Rs 4,000 as profit, what is their total profit?

To solve this problem, we need to understand the concept of partnership. In a partnership, profit is divided in the ratio of their investments multiplied by the time period of their investments.

Let's denote:

• B's investment as x
• B's time period as y

Then, according to the problem:

• A's investment is 3x
• A's time period is 2y

The profit ratio of A to B is therefore (3x2y) : (xy), which simplifies to 6:1.

If B's share is Rs 4,000, which corresponds to 1 part of the total profit, then the total profit is 7 parts (6 parts for A and 1 part for B).

So, the total profit is Rs 4,000 * 7 = Rs 28,000.