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      Question

      A and B started a business investing Rs. 1200 for

      ‘x’ months and Rs. 1800 for 16 months, respectively. Out of total profit of Rs. 3500, profit share of B is Rs. 2800. Find the value of x.
      A 8 months Correct Answer Incorrect Answer
      B 6 months Correct Answer Incorrect Answer
      C 9 months Correct Answer Incorrect Answer
      D 3 months Correct Answer Incorrect Answer

      Solution

      Ratio of profit share of A to B = (1200 × x):(1800 × 16) = x : 24
      According to question,
      x/24 = (3500 – 2800)/2800
      x/24 = 700/2800
      x = 24/4
      x = 6 months

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