Among three partners A, B and C in a business, the capital of B is equal to half the difference between thrice the capital of C and twice the capital of A. If at the end of the year, they received a profit of ₹27,460, what is the share of C (in ₹)?
- A. 9,976
- B. 16,476
- C. 10,984 ✓
- D. 12,484
Correct Answer: C. 10,984
Explanation
Given B = \frac{3C - 2A}{2}, which simplifies to 2(A + B) = 3C, or \frac{A + B}{C} = \frac{3}{2}. The total profit is distributed over 3+2=5 parts. C's share is \frac{2}{5} \times 27460 = 10984.
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