Ratios & Proportion
Aptitude

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Q.

The proportion of milk and water in 3 samples is $2:1$, $3:2$ and $5:3$. A mixture comprising of equal quantities of all 3 samples is made. The proportion of milk and water in the mixture is :

 A.

$2:1$

 B.

$5:1$

 C.

$99:61$

 D.

$227:133$

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Solution:
Option(D) is correct

Proportion of milk in 3 samples is \(\dfrac{2}{3}, \dfrac{3}{5}, \dfrac{5}{8}\)

Proportion of water in 3 samples is \(\dfrac{1}{3}, \dfrac{2}{5}, \dfrac{3}{8}\)

Since equal quantities are taken,

Total proportion of milk is \(\dfrac{2}{3}+\dfrac{3}{5}+\dfrac{5}{8}=\dfrac{227}{120}\)

Total proportion of water is \(\dfrac{1}{3}+\dfrac{2}{5}+\dfrac{3}{8}=\dfrac{133}{120}\)

Proportion of milk and water in the solution is  = 227:133


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