Multiple choice

A and B started a business jointly. A's investment was thrice the investment of B and the period of his investment was two times the period of investment of B. If B received Rs. 4000 as profit share, then their total profit (in Rs.) was

  1. Rs. 16,000

  2. Rs. 20,000

  3. Rs. 24,000

  4. Rs. 28,000

  5. None of these

Reveal answer Fill a bubble to check yourself
D Correct answer
Explanation

Profit ratio = (Investment A * Time A) : (Investment B * Time B). A's investment = 3B, Time A = 2*Time B. Ratio = (3B * 2T) : (B * T) = 6:1. B's share is 4000, so A's share is 24000. Total profit = 28000.

AI explanation

Using the fundamental partnership rule, the profit sharing ratio equals the product of investment and time. The ratio of profit for A to B is (3x * 2y) to (x * y), which simplifies to a 6 : 1 ratio. With 7 total parts (6 + 1), B's share of Rs. 4000 represents exactly 1 part, making the total profit 7 times 4000. The total profit is Rs. 28,000.