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?Options247228285304
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?Options247228285304
Solution
To solve this problem, we first need to understand the relationships between A, B, and C's shares.
- A receives 25% more than B. This means A's share is 1.25B.
- B receives 25% less than C. This means B's share is 0.75C.
We know that the total sum of money is 817, so we can write the equation:
A + B + C = 817
Substitute A and B in terms of C into the equation:
1.25B + B + C = 817 2.25B + C = 817
Substitute B in terms of C into the equation:
2.25(0.75C) + C = 817 1.6875C + C = 817 2.6875C = 817
Solve for C:
C = 817 / 2.6875 C = 304
Substitute C back into the equation for B:
B = 0.75 * 304 B = 228
Finally, substitute B back into the equation for A:
A = 1.25 * 228 A = 285
So, A's share in the amount is 285.
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