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The ratio of investments of two partners is 15:18 and the ratio of their profits is 3:6.If one partner invested money for 6 months,find how much time the other partner invested his money ?5101520

Question

The ratio of investments of two partners is 15:18 and the ratio of their profits is 3:6.If one partner invested money for 6 months,find how much time the other partner invested his money ?5101520

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Solution

The ratio of investments of two partners is 15:18 and the ratio of their profits is 3:6. This simplifies to 1:2.

Let's denote the time the first partner invested as T1 and the time the second partner invested as T2.

According to the problem, the first partner invested for 6 months, so T1 = 6.

We know that the ratio of profits is equal to the ratio of the product of the investment and time of each partner. So, we have:

(Investment1 * Time1) : (Investment2 * Time2) = Profit1 : Profit2

Substituting the given values, we get:

(15 * 6) : (18 * T2) = 1 : 2

Solving this equation for T2 gives us:

T2 = (15 * 6 * 2) / 18 = 10

So, the second partner invested his money for 10 months.

This problem has been solved

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