rRs 10750 are divided among A,B,and C such that A gets 25% more than B and B gets 25% less than C. Find the share of A
Question
You are given the total amount of Rs 10750 divided among A, B, and C such that:
- A gets 25% more than B.
- B gets 25% less than C.
Find the share of A.
Solution
To solve this problem, we first need to understand the relationships between A, B, and C's shares.
- A gets 25% more than B: This means A's share is 1.25B.
- B gets 25% less than C: This means B's share is 0.75C.
We know that the total amount of Rs 10750 is divided among A, B, and C. So, A + B + C = 10750.
Substitute A and B in terms of C into the equation:
1.25B + B + C = 10750 2.25B + C = 10750
Substitute B in terms of C into the equation:
2.25(0.75C) + C = 10750 1.6875C + C = 10750 2.6875C = 10750
Solve for C:
C = 10750 / 2.6875 C = Rs 4000
Now that we know C's share, we can find A and B's shares:
B = 0.75C = 0.75 * 4000 = Rs 3000 A = 1.25B = 1.25 * 3000 = Rs 3750
So, A's share is Rs 3750.
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