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Two vessels P and Q contain 62.5% and 87.5% of alcohol respectively. If 2 litres from vessel P is mixed with 4 litres from vessel Q, the ratio of alcohol and water in the resulting mixture is_______?

Correct answer: D. 19 : 5

  • A. 16 : 5
  • B. 14 : 5
  • C. 16 : 7
  • D. 19 : 5
  • E. None of these

Explanation

From vessel P, 2 litres contains 2 litres x 62.5% = 1.25 litres of alcohol and 0.75 litres of water. From vessel Q, 4 litres contains 3.5 litres of alcohol and 0.5 litres of water, giving totals of 4.75 litres alcohol and 1.25 litres water, or 19:5. The likely mistake is option c, 16:7, from treating the percentages as if the two vessels contributed equal volumes.

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