Select the correct answerA & 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?Options30,00028,00032,00034,000

The problem involves the concept of partnership in business. In a partnership, the profit is divided according to the ratio of the investments multiplied by the time period of the investments.

Let's denote:

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

Then:

• A's investment is 3x (since it's thrice the investment of B)
• A's time period is 2y (since it's two times the period of B)

The profit ratio of A to B is given by (Investment of A * Time period of A) : (Investment of B * Time period of B)

So, the profit ratio of A to B = (3x * 2y) : (x * y) = 6 : 1

This means for every 6 parts of profit that A receives, B receives 1 part.

Given that B received Rs 4,000 as profit, which corresponds to 1 part in the profit ratio, the total profit is 7 parts (6 parts for A and 1 part for B).

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

Therefore, the correct answer is Rs 28,000.