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
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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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