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      Question

      'A', 'B' and 'C' started a business by investing amounts in the ratio 5:6:8, respectively. Six months later, 'A' increased his investment by 20%, 'B' doubled his investment, and 'C' withdrew Rs. 'x' such that his remaining investment became half. If at the end of the year, the profit share of 'C' was Rs. 3,600, then find the total profit earned by the business.

      A Rs. 8,400 Correct Answer Incorrect Answer
      B Rs. 9,120 Correct Answer Incorrect Answer
      C Rs. 10,240 Correct Answer Incorrect Answer
      D Rs. 11,400 Correct Answer Incorrect Answer
      E None of these Correct Answer Incorrect Answer

      Solution

      Let the amount invested by 'A', 'B' and 'C' be Rs. '5x', Rs. '6x' and Rs. '8x', respectively. Ratio of profit shares of 'A', 'B' and 'C' = {(5x X 6) + (6x X 6)}:{(6x X 6) + (12x X 6)}:{(8x X 6) + (4x X 6)} = (30x + 36x):(36x + 72x):(48x + 24x) = 66x:108x:72x = 11:18:12 So, total profit earned by the business = 3600 X (41/12) = Rs. 12,300

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