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

The Correct Option is C

Let the volume of mixture A be \(200 \, \text{ml}\). 
Cocoa = \(60\%\) of 200 = \(120 \, \text{ml}\)
Sugar = \(40\%\) of 200 = \(80 \, \text{ml}\)

Let the volume of mixture B be \(300 \, \text{ml}\).
Coffee = \(70\%\) of 300 = \(210 \, \text{ml}\)
Sugar = \(30\%\) of 300 = \(90 \, \text{ml}\)

Now, mixing A and B in the ratio \(2:3\):
Take 200 ml of A and 300 ml of B.
Total volume of resulting mixture \(C = 200 + 300 = 500 \, \text{ml}\)
Total sugar in C = \(80 + 90 = 170 \, \text{ml}\)

Now, mixture C is combined with an equal amount of milk:
Final volume = \(500 + 500 = 1000 \, \text{ml}\)
Sugar remains = \(170 \, \text{ml}\)

Percentage of sugar in the final mixture:
\[ \frac{170}{1000} \times 100 = 17\% \]

Correct Option: (C) 17%