Question : In A mixture of 180 litres, the ratio of milk and water is 5 : 1. If this ratio is to be 3 : 2, then find the quantity of water to be further added.
Option 1: 66 litres
Option 2: 70 litres
Option 3: 88 litres
Option 4: 72 litres
Correct Answer: 70 litres
Solution :
In A mixture of 180 litres, the ratio of milk and water is 5 : 1.
Milk $=180×\frac{5}{5+1}=180×\frac{5}{6}=150$
Water $=180×\frac{1}{5+1}=180×\frac{1}{6}=30$
Let $x$ litre more water be added.
According to the question,
$\frac{150}{30+x}=\frac{3}{2}$
$⇒30+x=100$
$\therefore x = 70$ litres
Hence, the correct answer is 70 litres.
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