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      Question

      A puts in Rs. (P + 600). After 9 months, B invests Rs.

      5P. If the ratio of B’s share to A’s share is 5:6, compute (P − 400).
      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 + 600) × 12] : [5P × 3]

      = (12P + 7200) : 15P

      = (4P + 2400) : 5P (dividing by 3)

      ATQ;

      (4P + 2400) : 5P = 6 : 5

      Or, 4P + 2400 = 6P

      Or, 2P = 2400

      Or, P = 1200

      Required value = 1200 − 400 = 800

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