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A sum of 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 A’s share in the amount?Options228285304247

Question

A sum of 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 A’s share in the amount?Options228285304247

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Solution

Let's solve this step by step:

  1. Let's assume the share of B as x. According to the problem, A receives 25% more than B. So, A's share will be 1.25x.

  2. It's also mentioned that B receives 25% less than C. This means B's share is 75% of C's share. So, C's share will be x/0.75.

  3. The total sum of 817 is divided among A, B, and C. So, we can set up the equation as follows: A's share + B's share + C's share = Total sum. Substituting the values we get: 1.25x + x + x/0.75 = 817.

  4. Solving this equation will give us the value of x, which is B's share. Once we have B's share, we can easily find A's share by multiplying B's share by 1.25.

  5. Solving the equation, we get x (B's share) as approximately 228.

  6. Therefore, A's share will be 1.25 * 228 = 285.

So, A’s share in the amount is 285.

This problem has been solved

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