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?
Solution
Let's denote the shares of A, B, and C as a, b, and c respectively.
From the problem, we know that:
- A receives 25% more than B. This can be written as a = b + 0.25b = 1.25b.
- 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.
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