In a 40 litre mixture of milk and water, the ratio of milk to water is 3 : 1. How much water (in litres) should be added to make this ratio 2 : 3?
Answer & explanation
Correct answer: option 3
The correct answer is Option (3) → 35
Adding water changes only the water; the quantity of milk stays the same, so the milk fixes how much water the new ratio needs.
Milk \(\displaystyle =\frac{3}{4}\times40=30\) litres, water \(=10\) litres
In the ratio 2 : 3, water \(\displaystyle =\frac{3}{2}\times\) milk \(\displaystyle =\frac{3}{2}\times30=45\) litres
Water to be added \(=45-10=35\) litres