Anil mixes cocoa with sugar in the ratio 3: 2 to prepare mixture A , and coffee with sugar in the ratio 7: 3 to prepare mixture B . He combines mixtures A and B in the ratio 2: 3 to make a new mixture C . If he mixes C with an equal amount of milk to make a drink, then the percentage of sugar in this drink will be

Question

A certain amount of water was poured into a 300 litre container and the remaining portion of the container was filled with milk. Then an amount of this solution was taken out from the container which was twice the volume of water that was earlier poured into it, and water was poured to refill the container again. If the resulting solution contains 72% milk, then the amount of water, in litres, that was initially poured into the container was

Answer 1

Mixture A has a volume of \(200 \, \text{ml}\). This mixture contains \(120 \, \text{ml}\) of cocoa (\(60\%\)) and \(80 \, \text{ml}\) of sugar (\(40\%\)).

Mixture B has a volume of \(300 \, \text{ml}\). This mixture contains \(210 \, \text{ml}\) of coffee (\(70\%\)) and \(90 \, \text{ml}\) of sugar (\(30\%\)).

When mixtures A and B are combined in a \(2:3\) ratio, 200 ml of A and 300 ml of B are used. The resulting mixture C has a total volume of \(500 \, \text{ml}\) (\(200 + 300\)). The total amount of sugar in mixture C is \(170 \, \text{ml}\) (\(80 + 90\)).

Mixture C is then combined with an equal volume of milk. The final volume is \(1000 \, \text{ml}\) (\(500 + 500\)), and the sugar content remains \(170 \, \text{ml}\).

The percentage of sugar in the final mixture is calculated as follows:
\[ \frac{170}{1000} \times 100 = 17\% \]

Correct Option: (C) 17%

The Correct Option is C

Solution and Explanation

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