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Select the correct answerThe ratio of investment by A to that by B in a business is 14 :15 and the ratio of their respective profits at the end of a year is 2 : 5. If A invested the money for 3 months, then for how much time (in months) B invested his money?Options9756

Question

Select the correct answerThe ratio of investment by A to that by B in a business is 14 :15 and the ratio of their respective profits at the end of a year is 2 : 5. If A invested the money for 3 months, then for how much time (in months) B invested his money?Options9756

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Solution

The problem is about the relationship between investment and profit in a business.

The ratio of investment by A to B is 14:15, and the ratio of their profits is 2:5.

We know that profit is directly proportional to the product of the investment and the time period for which the money is invested.

So, we can write the equation as follows:

(Investment by A * Time period of A's investment) / (Investment by B * Time period of B's investment) = Profit of A / Profit of B

Substituting the given values into the equation, we get:

(14 * 3) / (15 * Time period of B's investment) = 2 / 5

Solving this equation for the Time period of B's investment, we get:

Time period of B's investment = (14 * 3 * 5) / (15 * 2) = 7 months

So, B invested his money for 7 months.

Therefore, the correct answer is 7.

This problem has been solved

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