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A sum of money was to be divided amongst A and B in the ratio of 2:3.If the money is divided in the ratio of 3: 2,A will benefit by Rs.75. The total money is:Rs.325Rs.225Rs.250Rs.375

Question

A sum of money was to be divided amongst A and B in the ratio of 2:3.If the money is divided in the ratio of 3: 2,A will benefit by Rs.75. The total money is:Rs.325Rs.225Rs.250Rs.375

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Solution

The problem states that if the money is divided in the ratio of 3:2 instead of 2:3, A will benefit by Rs.75. This means that the difference between the two ratios for A is worth Rs.75.

In the ratio 2:3, A's share is 2 parts. In the ratio 3:2, A's share is 3 parts. The difference between these two shares is 1 part, which is equivalent to Rs.75 according to the problem.

Therefore, 1 part is equal to Rs.75.

The total money is to be divided in the ratio of 2:3, which adds up to 5 parts.

So, the total money is 5 parts * Rs.75/part = Rs.375.

So, the total money is Rs.375.

This problem has been solved

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