Question:

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

Updated On: Sep 17, 2024
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The Correct Option is C

Solution and Explanation

Let's volume of mixture \(A\) be \(200 \ ml\), indicating that the quantity of cocoa in the mixture is \(120 \ m\)l and the quantity of sugar is \(80 \ ml\).
Similarly, considering a mixture volume of \(300\  ml\), it implies that the quantity of coffee and sugar in the mixture is \(210\  ml\) and \(90 \ ml\) respectively.
Now, when we combine mixture \(A\) and \(B\) in the ratio of \(2:3\) (meaning if \(200\ ml\) of mixture \(A\), then \(300\ ml\) of mixture \(B\)), the volume of the resulting mixture \( C= (200 + 300) = 500 \ ml\),
and the quantity of sugar \(= (90 + 80) = 170\  ml.\)
Then, combining mixture \(C\) with an equal amount of milk to make a drink, the final mixture's quantity \(= (500 + 500) = 1000 \ ml.\)
The quantity of sugar in the final mixture remains \(170 \ ml\).
Therefore, the percentage of sugar in the final mixture is \(17\%\).

So, the correct option is \((C): 17\).

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