Multiple choice

Ajay, Bhavesh and Chandesh are partners in a business with capitals Rs. 5000, Rs. 6000 and Rs. 4000 respectively. Ajay gets 30 % of the profit for managing the business and the balance is divided in the ratio of their capitals. At the end of the year Ajay gets Rs. 200 more than Bhavesh and Chandesh together. Find the total profit?

  1. Rs. 3000

  2. Rs. 3600

  3. Rs. 2500

  4. Rs. 3500

  5. None of these
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A Correct answer
Explanation

Let total profit be P. Ajay gets 0.3P for managing. Remaining 0.7P is divided in ratio 5:6:4 = 5/15. Ajay's share = 0.3P + (5/15 × 0.7P) = 0.3P + 0.233P = 0.533P. Bhavesh + Chandesh = (6/15 + 4/15) × 0.7P = 0.467P. Difference: 0.533P - 0.467P = 0.066P = 200. Therefore P = 200/0.066 = 3000.

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