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      Question

      Mixture β€˜X’ contains 50% alcohol and the rest 40

      litres of water. 150 litres of mixture β€˜Y’ contains alcohol and water in the ratio 5:10, respectively. Find the resultant ratio of alcohol to water when these two mixtures are mixed.
      A 9:14 Correct Answer Incorrect Answer
      B 15:19 Correct Answer Incorrect Answer
      C 17:11 Correct Answer Incorrect Answer
      D 5:11 Correct Answer Incorrect Answer
      E None of these Correct Answer Incorrect Answer

      Solution

      ATQ, Quantity of alcohol in mixture β€˜X’ = 40 Γ— (0.5/0.5) = 40 litres Quantity of alcohol in mixture β€˜Y’ = 150 Γ— (5/15) = 50 litres Quantity of water in mixture β€˜Y’ = 150 – 50 = 100 litres Total quantity of alcohol in resultant mixture = 40 + 50 = 90 litres Total quantity of water in resultant mixture = 40 + 100 = 140 litres Required ratio = 90:140 = 9:14

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