Multiple choice

A and B started the business with the investment of 4:5. At the end of one year, the total profit is Rs.3300 and B's profit share is 1500. What is the ratio of the time period of the investment of A and B?

  1. 2:1

  2. 3:2

  3. 4:3

  4. 5:4
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B Correct answer
Explanation

Profit ratio = Investment ratio * Time ratio. 3300 total, B gets 1500, so A gets 1800. Profit ratio A:B = 1800:1500 = 6:5. Investment ratio A:B = 4:5. Let time ratio be T1:T2. (4 * T1) / (5 * T2) = 6 / 5. T1 / T2 = (6/5) * (5/4) = 6/4 = 3/2.

AI explanation

Using the partnership formula, profit share equals investment multiplied by time. A's profit is 3300 minus 1500, which is Rs. 1800, making the profit ratio of A to B 1800 to 1500, or 6 to 5. Since their investment ratio is 4 to 5, the time ratio is calculated as (6 divided by 4) to (5 divided by 5), which simplifies to 1.5 to 1, or 3 to 2. The ratio of their time periods is 3:2.

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