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      Question

      A launches a partnership with Rs. (P + 700). B joins

      after 5 months with Rs. 2P. If the ratio of Bโ€™s profit share to Aโ€™s is 7:8, find (P โˆ’ 100).
      A 4,200 Correct Answer Incorrect Answer
      B 8,500 Correct Answer Incorrect Answer
      C 3,750 Correct Answer Incorrect Answer
      D 2,200 Correct Answer Incorrect Answer

      Solution

      ATQ,

      Ratio of profit share of A and B respectively:

      = [(P + 700) ร— 12] : [2P ร— 7]

      = (12P + 8400) : 14P

      = (6P + 4200) : 7P (dividing by 2)

      ATQ;

      (6P + 4200) : 7P = 8 : 7

      Or, 6P + 4200 = 8P

      Or, 2P = 4200

      Or, P = 2100

      Required value = 2100 โˆ’ 100 = 2000

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