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      Question

      A invested Rs. (P + 1000). After 6 months, B joined with

      Rs. 3P. If the ratio of B’s profit share to A’s is 9:10, then find (P − 400).
      A 4,200 Correct Answer Incorrect Answer
      B 8,500 Correct Answer Incorrect Answer
      C 3,750 Correct Answer Incorrect Answer
      D 1,100 Correct Answer Incorrect Answer
      E None of these Correct Answer Incorrect Answer

      Solution

      ATQ,

      Ratio of profit share of A and B respectively:

      = [(P + 1000) × 12] : [3P × 6]

      = (12P + 12000) : 18P

      = (2P + 2000) : 3P (dividing by 6)

      ATQ;

      (2P + 2000) : 3P = 10 : 9

      Or, (2P + 2000)/3P = 10/9

      Cross multiply: 9(2P + 2000) = 30P

      18P + 18000 = 30P

      12P = 18000

      P = 1500


      Required value = 1500 − 400 = 1100

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