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      Question

      X and Y started a business by investing Rs. 30000 and

      Rs. 20000 respectively. After 6 months, Z joined with an investment of Rs. 25000. At the end of one year, Xโ€™s share in profit is Rs. 4500 more than Yโ€™s share. Find the total profit earned.
      A Rs.28525 Correct Answer Incorrect Answer
      B Rs.28125 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 = (30000 ร— 12) : (20000 ร— 12) : (25000 ร— 6)
      = 360000 : 240000 : 150000
      = 24 : 16 : 10 Sum = 24 + 16 + 10 = 50
      Let total profit = 50x
      ATQ,
      24x โ€“ 16x = 4500
      8x = 4500
      x = 562.5 Total profit = 50 ร— 562.5 = Rs. 28125

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