A 30 litres mixture of milk and water contains 10% water. How much milk should be added so that the percentage of water in the mixture comes down to 2%?

Milk-Water Mixture Problem

Given: 30 litres mixture contains 10% water ⇒ Water = 3 litres, Milk = 27 litres

Let x litres of milk be added. Total mixture becomes (30 + x) litres. Water remains 3 litres.

We want water to be 2% of the new mixture:

$\frac{3}{30+x}=\frac{2}{100}$

Solve:

3 / (30 + x) = 2 / 100

⇒ 3 × 100 = 2 × (30 + x)

⇒ 300 = 60 + 2x

⇒ 2x = 240 ⇒ x = 120

✅ Final Answer: 120 litres of milk should be added.