A, B, C subscribe Rs. 50,000 for a business. A subscribes Rs. 4000 more than B…
2025
A, B, C subscribe Rs. 50,000 for a business. A subscribes Rs. 4000 more than B and B Rs. 5000 more than C. Out of a total profit of Rs. 35,000, A receives:
- A.
Rs.14,500
- B.
Rs.14,000
- C.
Rs.14,700
- D.
Rs.14,300
Attempted by 1 students.
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Correct answer: C
Solution: Use algebra to find each partner's capital and then compute A's share of the profit.
Let C = x. Then B = x + 5000 and A = B + 4000 = x + 9000.
Total capital: x + (x + 5000) + (x + 9000) = 50,000 ⇒ 3x + 14,000 = 50,000 ⇒ 3x = 36,000 ⇒ x = 12,000.
Individual capitals: A = 12,000 + 9,000 = 21,000; B = 17,000; C = 12,000. Ratio = 21 : 17 : 12 (sum = 50).
A's share of the profit = 35,000 × (21/50) = 35,000 × 0.42 = Rs. 14,700.
Therefore, A receives Rs. 14,700.