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      Question

      A invested Rs. (P + 900). B entered after 2 months with

      Rs. 4P. If the ratio of B’s profit share to A’s is 10:7, find (P − 225).
      A 4,200 Correct Answer Incorrect Answer
      B 8,500 Correct Answer Incorrect Answer
      C 3,750 Correct Answer Incorrect Answer
      D None of these Correct Answer Incorrect Answer

      Solution

      ATQ,

      Ratio of profit share of A and B respectively:

      = [(P + 900) × 12] : [4P × 10]

      = (12P + 10800) : 40P

      = (3P + 2700) : 10P (dividing by 4)

      ATQ;

      (3P + 2700) : 10P = 7 : 10

      Or, 3P + 2700 = 7P

      Or, 4P = 2700

      Or, P = 675

      Required value = 675 − 225 = 450

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