Question

45 litres of water is mixed with 225 litres of milk, If 45 litres of mixture was sold and certain amount of both milk and water is added to the mixture in the ratio of 3 : 5. If the water added is 20% of the milk left after being sold, then what is the quantity of milk added?
1. 25.5
2. 22.5
3. 37.5
4. 27.5

Answer 1

Correct Answer - Option 2 : 22.5

Initial quantity of mixture = 45 + 225 = 270 litres

Initial ratio of milk and water = 225 : 45 = 5 : 1

6 units = 45 litres

1 unit = 7.5

5 units = 37.5

Milk left = 225 – 37.5 = 187.5 litres

Ratio of milk and water added = 3 : 5

According to the question,

5 units = (20/100) × 187.5 = 37.5

1 unit = 7.5

3 units = 22.5 litres

Milk added is 22.5 litres