If A invested 5 times of B, and at the end of the year they got a profit of…
2025
If A invested 5 times of B, and at the end of the year they got a profit of Rs. 36,000 in their business, then B's share in the profit was (in Rs.)
Answer: D. 6000 — Concept: When partners invest for the same time period, the profit (or loss) of the business is divided strictly in the ratio of the capital each partner…
- A.
5000
- B.
4000
- C.
3000
- D.
6000
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Correct answer: D
Concept: When partners invest for the same time period, the profit (or loss) of the business is divided strictly in the ratio of the capital each partner invested — Profit of A : Profit of B = Capital of A : Capital of B.
Application:
Let B's investment = x. Since A invested 5 times of B, A's investment = 5x.
Ratio of investments, A : B = 5x : x = 5 : 1.
Since both invested for the same duration (one year), the profit of Rs. 36,000 is shared in this same ratio 5 : 1, i.e., split into (5 + 1) = 6 equal parts.
B's share = 1 part out of 6 = (1/6) × Rs. 36,000 = Rs. 6,000.
Cross-check: A's share = (5/6) × Rs. 36,000 = Rs. 30,000. Then A's share + B's share = Rs. 30,000 + Rs. 6,000 = Rs. 36,000, which equals the total profit, and A's share : B's share = 30,000 : 6,000 = 5 : 1, matching the given investment ratio. Hence, B's share is confirmed as Rs. 6,000.