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      Question

      55% of the original 'a' liters of pure petrol is taken

      out from a container and replaced with 66 liters of Methanol, ensuring the total quantity of the mixture remains constant. Determine the ratio of petrol to Methanol in the resulting mixture 'M,' which initially contains (0.75a + 10) liters of petrol and '2a' liters of Methanol.
      A 5:8 Correct Answer Incorrect Answer
      B 11:12 Correct Answer Incorrect Answer
      C 5:7 Correct Answer Incorrect Answer
      D 5:12 Correct Answer Incorrect Answer
      E none of these Correct Answer Incorrect Answer

      Solution

      ATQ, Total quantity of mixture = a = 66/0.55 = 120 litres Therefore, quantity of petrol in mixture ‘M’ = (0.75a + 10) = 0.75 × 120 + 10 = 90 + 10 = 100 litres Quantity of Methanol in mixture ‘M’ = 2a = 240 litres Required ratio = 100:240 = 5:12

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