Select the correct answerA 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
Select the correct answerA 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
Solution
Let's solve this step by step:
- Let's assume the share of C as x.
- According to the problem, B receives 25% less than C. So, B's share = x - 0.25x = 0.75x.
- A receives 25% more than B. So, A's share = 0.75x + 0.25*0.75x = 0.9375x.
- The total sum of 817 is divided among A, B, and C. So, x + 0.75x + 0.9375x = 817.
- Solving the above equation, we get 2.6875x = 817.
- Therefore, x = 817 / 2.6875 = 304.
So, C's share is 304.
Now, let's find A's share:
A's share = 0.9375 * 304 = 285.
So, A's share in the amount is 285.
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