Multiple choice

A, B, and C entered into a business partnership. A received 3/5 of the total profit, while B and C shared the remaining profit equally. If C initially received Rs 400 less than A, what was the total profit earned by the partnership?

  1. 800

  2. 1000

  3. 1200

  4. 1600

  5. 1800
Reveal answer Fill a bubble to check yourself
B Correct answer
Explanation

A gets 3/5. Remaining 2/5 is shared equally by B and C, so B gets 1/5 and C gets 1/5. Difference between A and C is 3/5 - 1/5 = 2/5 of total profit. 2/5 * P = 400, so P = 1000.

AI explanation

Let the total profit be P, so A's share is (3/5)P. The remaining profit is (2/5)P, which B and C share equally, meaning C receives half of that, or (1/5)P. The difference between A and C's shares is (3/5)P - (1/5)P = (2/5)P, which equals Rs. 400. Solving for the total profit, we find P = 400 x (5/2) = Rs. 1000.

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