Question : 80 litres of a mixture contains milk and water in a ratio of 27 : 5. How much more water is to be added to get a mixture containing milk and water in a ratio of 3 : 1?
Option 1: 5 litres
Option 2: 10 litres
Option 3: 15 litres
Option 4: 20 litres
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Correct Answer: 10 litres
Solution : Given: 80 litres of a mixture contains milk and water in a ratio of 27 : 5. Quantity of milk in 80 litres = $\frac{27}{32}$ × 80 = 67.50 Quantity of water in 80 litres = 80 – 67.50 = 12.50 Let $x$ litres of water be mixed. So, the new ratio is 3 : 1. ⇒ $\frac{67.5}{12.5+x}=\frac{3}{1}$ ⇒ $67.5=37.5+3x$ ⇒ $3x=30$ ⇒ $x=10$ litres Hence, the correct answer is 10 litres.
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