### The proportion of Milk and water in three samples is 2 : 1, 3 : 2 and 5 : 3. A mixture containing equal quantities of all three samples is made. The ratio of Milk and water in the mixture is –

A. 227 : 133 B. 133 : 227 C. 99 : 61 D. 61 : 99 Answer: Option A
Proportion of milk in 3 samples is $\Large\frac{2}{3},\frac{3}{5},\frac{5}{8}$ Proportion of water in 3 samples is $\Large\frac{1}{3},\frac{3}{5},\frac{3}{8}$ Total proportion in milk = $\Large\frac{2}{3}+\frac{3}{5}+\frac{5}{8}=\frac{227}{120}$ Total proportion in water = $\Large\frac{1}{3}+\frac{3}{5}+\frac{3}{8}=\frac{133}{120}$ Required proportion $=227 : 133$