Discussion

Question:

Aman started a business with Rs. 10,000. Four months later, Gautam joined him with Rs. 24,000. Aman received Rs. 2,320, including 10% commission, for managing the business. What amount did Gautam receive?

Explanation:

Let the total profit earned at the end of the year be P.
Aman receives 10% commission from this, hence A's commission = P/10 = 0.1P
Net Profit left to be distrubuted to partners = 0.9P

Ratio of profit = 10000 × 12 : 24000 × 8 = 5 : 8

∴ Aman's share of profit = $\frac{5}{13}$ × 0.9P = $\frac{4.5 P}{13}$

⇒ $\frac{4.5 P}{13}$ + 0.1P = 2320

⇒ 5.8P = 30160

⇒ P = 5200

∴ Gautam's share of profit = 8/13 × 0.9 × 5200 = Rs. 2,880

Hence, option (c).

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