Multiple choice

In the solution of water and sugar, the ratio of sugar to water is 3:5. If 30% of this solution is taken out and 5% of the initial quantity of solution is added as water to the remaining quantity of the mixture than find the new ratio of sugar and water in new solution.

  1. 6:13

  2. 3:7

  3. 7:13

  4. 4:7

  5. 1:2
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C Correct answer
Explanation

Initial ratio 3:5 means 3/8 sugar and 5/8 water. Removing 30% leaves 70% of the mixture. Adding 5% of initial quantity as water changes the proportions. After calculation, the new ratio of sugar to water is 7:13.

AI explanation

Let the initial solution be 100 L, containing 37.5 L of sugar and 62.5 L of water. Removing 30% takes away 11.25 L of sugar and 18.75 L of water, leaving 26.25 L of sugar and 43.75 L of water. Adding 5 L of water brings the water to 48.75 L, and the new ratio of sugar to water is 26.25 : 48.75, which simplifies to 7 : 13.

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