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A, B and C are partners in a business. Their capitals are respectively, Rs.5000, Rs.6000 and Rs.4000. A gets 30% of the total profit for managing the business. The remaining profit is divided among three in the ratio of their capitals. In the end of the year, the profit of A is Rs.200 more than the sum of the profits of B and C. Find the total profit.

Correct answer: D. Rs.3000

  • A. Rs.4500
  • B. Rs.5200
  • C. Rs.1800
  • D. Rs.3000

Explanation

A receives 30% of the total profit P for management, and the remaining 70% is divided in the capital ratio 5000:6000:4000 = 5:6:4. Therefore A's total share is 0.30P + 0.70P x 5/15 = 8P/15, while B and C together receive 7P/15. The difference is P/15 = Rs.200, so P = Rs.3000. The likely mistake is option a, Rs.4500, which may result from allocating the remaining profit incorrectly.

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Profit and loss compare the cost price and selling price of an item, using profit or loss percentages based on the cost price unless stated otherwise. Questions include marked price, discount, successive discounts, commission, and finding an unknown price, with care needed to distinguish discount from loss.

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