Multiple choice

A, B and C entered into a partnership by investing in the ratio of 4 : 2: 3. At the end of the year, the total profit is in the ratio of 12 : 4 : 9. Find the ratio of period of time they invested in the business?

  1. 3 : 2 : 3

  2. 5 : 2 : 4

  3. 2 : 5 : 3

  4. 7 : 4 : 5

  5. None of these
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A Correct answer
Explanation

Profit = Investment * Time. Time = Profit / Investment. Time ratio = (12/4) : (4/2) : (9/3) = 3 : 2 : 3.

AI explanation

The profit ratio equals the product of the investment ratio and the time ratio, so time ratio equals profit ratio divided by investment ratio. The time ratio is (12/4) : (4/2) : (9/3), which simplifies to 3 : 2 : 3.

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