Multiple choice

In solution of sugar and water the ratio of sugar and water by weight is 1:4. This solution is heated and in the process it loses 50% weight. What is the ratio of weight of sugar and water in the final mixture?

  1. 4:1

  2. 2:1

  3. 2:3

  4. 3:5

  5. 5:2
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C Correct answer
Explanation

Initial ratio 1:4 means 1 unit sugar, 4 units water (total 5). If it loses 50% weight, 2.5 units remain. Since sugar is non-volatile, 1 unit of sugar remains, and 1.5 units of water remain. The new ratio is 1:1.5, which is 2:3.

AI explanation

Assume the initial total weight of the solution is 5 kg, which means there is 1 kg of sugar and 4 kg of water. Heating causes a 50% weight loss, meaning the solution loses 2.5 kg of water, leaving 1.5 kg of water. The new ratio of sugar to water is 1 kg to 1.5 kg, which equals 2 : 3.

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