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      Question

      ‘A’ started a business with the investment

      of Rs. 12000. After ‘x’ months and after 3 months from starting ‘B’ and ‘C’, respectively, joined the business with the investments of Rs. 16000 and Rs. 18000, respectively. If at the end of the year, the profit share of ‘A’ and ‘B’ is equal then find the value of ‘x’.
      A 3 Correct Answer Incorrect Answer
      B 2 Correct Answer Incorrect Answer
      C 4 Correct Answer Incorrect Answer
      D 1 Correct Answer Incorrect Answer
      E None of these Correct Answer Incorrect Answer

      Solution

      Profit share ratio of ‘A’, ‘B’ and ‘C’ = (12000 × 12):[16000 × (12 – x)]:(18000 × 9) = 72:(12 – x):81 Given, the profit share ratio of ‘A’ and ‘B’ is equal. So, 72:8(12 – x) = 1:1 9 = (12 – x) x = 12 – 9 = 3 So, the value of x = 3

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