Multiple choice

A and B entered into a partnership with Rs.800 and Rs. 1600 respectively. From 9th month on-words they each decided to invest Rs.100 more on starting of each month. If total annual profit is Rs.7700 then find the profit share of A.

  1. Rs.2650

  2. Rs.2560

  3. Rs.2506

  4. Rs.2605

  5. Rs.2065
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A Correct answer
AI explanation

To find the profit share, calculate the equivalent capital for the year, which is the sum of the investment multiplied by the number of months it is held. A invests Rs. 800 for 8 months, then adds Rs. 100 monthly for four months, meaning the additional investments of 900, 1000, 1100, and 1200 are held for 1 month each, summing to an effective capital of 800 x 8 + 900 + 1000 + 1100 + 1200 = 10600. B's effective capital is calculated the same way: 1600 x 8 + 1700 + 1800 + 1900 + 2000 = 18400. The profit ratio is 10600:18400, or 53:92, so A's share of the total Rs. 7700 profit is (53 divided by 145) multiplied by 7700, resulting in Rs. 2650.

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