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      Question

      A invested Rs. (P + 1200). After 3 months, B joined with

      Rs. 3P. If Bโ€™s share to Aโ€™s share of the annual profit is 9:5, determine (P โˆ’ 600).
      A 4,200 Correct Answer Incorrect Answer
      B 8,500 Correct Answer Incorrect Answer
      C 3,750 Correct Answer Incorrect Answer
      D 1,460 Correct Answer Incorrect Answer

      Solution

      ATQ,

      Ratio of profit share of A and B respectively:

      = [(P + 1200) ร— 12] : [3P ร— 9]

      = (12P + 14400) : 27P

      = (4P + 4800) : 9P (dividing by 3)

      ATQ;

      (4P + 4800) : 9P = 5 : 9

      Or, 4P + 4800 = 5P

      Or, P = 4800

      Required value = 4800 โˆ’ 600 = 4200

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