Multiple choice

The ratio in which two alcohols of concentrations 15% and 40% are to be mixed to get an alcohol of concentration 30% is

  1. 2 : 3

  2. 3 : 2

  3. 1 : 2

  4. 8 : 9

  5. 9 : 8
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A Correct answer
Explanation

Using the alligation method: (40-30) / (30-15) = 10 / 15 = 2 / 3. The ratio is 2:3.

AI explanation

Using the rule of alligation on the alcohol concentrations, the ratio is calculated from the differences between the target concentration and the individual concentrations. The difference between 30% and 15% is 15, and the difference between 40% and 30% is 10. This gives a required mixing ratio of 15 to 10, which simplifies to 2 : 3.

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