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A sum of Rs. 817 is divided among A, B and C such that ‘A’ receives 25% more than ‘B’ and ‘B’ receives 25% less than ‘C’. What is the ‘A’ share in the amount?

Question

A sum of Rs. 817 is divided among A, B and C such that ‘A’ receives 25% more than ‘B’ and ‘B’ receives 25% less than ‘C’. What is the ‘A’ share in the amount?

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Solution

Let's denote the shares of A, B, and C as a, b, and c respectively.

From the problem, we know that:

  1. A receives 25% more than B. This can be written as a = b + 0.25b = 1.25b.
  2. B receives 25% less than C. This can be written as b = c - 0.25c = 0.75c.

We also know that the total sum of Rs. 817 is divided among A, B, and C. This can be written as a + b + c = 817.

Substituting the expressions for a and b from the first two equations into the third equation, we get:

1.25b + b + 0.75b = 817 3b = 817 b = 817 / 3 = Rs. 272.33

Substituting b = 272.33 into the equation for a, we get:

a = 1.25 * 272.33 = Rs. 340.41

So, A's share in the amount is Rs. 340.41.

This problem has been solved

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