Multiple choice

Abinav, Durga and Gowrav jointly thought of engaging themselves in a business. It was agreed that Abinav would invest Rs. 13000 for 3 months, Durga, Rs. 16000 for 6 months and Gowrav, Rs. 30,000 for 5 months. Abinav wants to be the working member for which, he was to receive 10% of the profits. The profit earned was Rs. 14800. Calculate the share of Gowrav in the profit(approx).

  1. 7057

  2. 7010.5

  3. 7000.78

  4. 7090.5

  5. 5080.5

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B Correct answer
AI explanation

First, deduct Abinav's 10% commission for being the working member from the total profit, leaving a distributable profit of 13,320. The remaining profit is divided based on the product of investment and time, giving a ratio of 39,000 for Abinav, 96,000 for Durga, and 150,000 for Gowrav. This simplifies to a profit sharing ratio of 13:32:50, meaning Gowrav's share is 50/95 of the remaining profit. Multiplying 13,320 by 50/95 yields Gowrav's approximate share of 7,010.5.