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      Question

      ‘P’ and ‘Q’ entered into a business by investing

      Rs. ‘y’ and Rs. ‘y – 400’, respectively. If their combined annual profit amounts to Rs. 84,000 and the share of ‘P’ in the profit is Rs. 48,000, find the initial investment made by ‘Q’.
      A Rs.1230 Correct Answer Incorrect Answer
      B Rs.1545 Correct Answer Incorrect Answer
      C Rs.1016 Correct Answer Incorrect Answer
      D Rs.1200 Correct Answer Incorrect Answer

      Solution

      ATQ,

      Ratio of profit share of ‘P’ and ‘Q’ respectively = {(y × 12):(y – 400) × 12} = (12y):(12y – 4800)

      ATQ;

      {12y/(24y – 4800)} = (48000/84000)

      Or, 21y = 24y – 4800

      Or, 4800 = 3y

      Or, y = 1600

      So, initial investment made by ‘Q’ = 1600 – 400 = Rs. 1200

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