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

• A. 16
• B. 24
• C. 17
• D. 21

Answer 1

Answer: (C)

17

Answer 2

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 $(C): 17$.