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      Question

      A and B started a business investing Rs. 3600 for

      ‘x’ months and Rs. 4800 for 7 months, respectively. Out of total profit of Rs. 4000, profit share of B is Rs. 2800. Find the value of x.
      A 8 months Correct Answer Incorrect Answer
      B 4 months Correct Answer Incorrect Answer
      C 12 months Correct Answer Incorrect Answer
      D 3 months Correct Answer Incorrect Answer
      E None of these Correct Answer Incorrect Answer

      Solution

      Ratio of profit share of A to B = (3600 × x):(4800 × 7) = 3x : 28
      According to question,
      3x/28 = (4000 – 2800)/2800
      3x/28 = 1200/2800
      3x = 12
      x = 4 months

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