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A, B, and C started a business. A would invest Rs. 6500 for 6 months, B, Rs. 8400 for 5 months and C, Rs. 10,000 for 3 months. A is a working member so, he receives 5% of the profits. The profit earned was Rs. 7400. What is the profit of B?1. Rs. 25502. Rs. 26503. Rs. 26604. Rs. 2670 |
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Answer» Correct Answer - Option 3 : Rs. 2660 Given: Total profit = Rs. 7400 A’s investment = Rs. 6500 B’s investment = Rs. 8400 C’s investment = Rs. 10000 Investment time of A = 6 months Investment time of B = 5 months Investment time of C = 3 months Concept Used: Profit ratio is equal as product of investment and time ratio Calculation: Ratio of their investment = (6500 × 6) ∶ (8400 × 5) ∶ (10000 × 3) ⇒ Required ratio = 39000 ∶ 42000 ∶ 30000 ⇒ Required ratio = 13 ∶ 14 ∶ 10 Extra profit received by A = 5% of 7400 ⇒ Extra profit of A = 5/100 × 7400 ⇒ Extra profit of A = 370 Balance profit = 7400 – 370 ⇒ Balance profit = 7030 B’s share = 7030 × 14/37 ⇒ B’s share = 2660 ∴ B’s share is Rs. 2660. |
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