Question

Q38. In three vessels each of 10 $ı$ capacity, mixture of milk and water is filled. The ratio of milk and water are 2 : 1, 3 : 1 and 3 : 2 in the three respective vessels. If all the three vessels are emptied into a single large vessel, find the proportion of milk and water in the mixture.

• A. (a) 170 : 60
• B. (b) 180 : 70
• C. (c) 120 : 60
• D. (d) 121 : 59

Answer 1

The correct option is D

(d) 121 : 59

$Bythetheoremlearnttherequiredrationis\{\frac{2}{2+1}+\frac{3}{3+1}+\frac{3}{3+2}\}:\{\frac{1}{2+1}+\frac{1}{3+1}+\frac{2}{3+2}\}=\{\frac{2}{3}+\frac{3}{4}+\frac{3}{5}\}:\{\frac{1}{3}+\frac{1}{4}+\frac{2}{5}\}=\frac{40+45+36}{3\times 4\times 5}:\frac{20+15+24}{3\times 4\times 5}=121:59$