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      Question

      P and Q invested Rs. 18000 and Rs. 12000 in a business.

      After 8 months, R joined with Rs. 24000. At the end of the year, P’s share is Rs. 2400 more than Q’s share. Find the total profit.
      A Rs.28525 Correct Answer Incorrect Answer
      B Rs.15200 Correct Answer Incorrect Answer
      C Rs.20125 Correct Answer Incorrect Answer
      D Rs.22125 Correct Answer Incorrect Answer
      E None of these Correct Answer Incorrect Answer

      Solution

      Profit share ratio = (18000 × 12) : (12000 × 12) : (24000 × 4)
      = 216000 : 144000 : 96000
      = 9 : 6 : 4 Sum = 9 + 6 + 4 = 19
      Let total profit = 19x
      ATQ,
      9x – 6x = 2400
      3x = 2400
      x = 800 Total profit = 19 × 800 = Rs. 15200

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