Question

20 litres of milk when added to a 60 litre milk and water solution increases the concentration by same percentage points as decreased by addition of 30 litres of water to the same solution.What is the ratio of milk and water initially

Answer 1

Explanation:

80 litre milk and 30 litre water are mixed

milk concentration has low because milk inside a 30 litre water

Answer 2

The ratio of milk and water initially is 25:33.

Step-by-step process

Given:

the Initial volume of water and milk solution = 60litre

The volume of milk added= 20 litre

The volume of water added= 30 litre

To find:

The ratio of milk and water initially= volume of milk: volume of water

Calculation:

The percentage decrease on the addition of water= 30 ÷90 x 100

= 33.3%

The percentage increase on the addition of milk= 20 ÷80 x100

= 25%

Since the percentage increase in concentration on the addition of 20litres of milk is equal to the percentage decrease in concentration on the addition of water.

Result :

The ratio of milk and water initially = percentage increase on the addition of milk: percentage decrease on the addition of water

ratio = 25:33

Thus, the ratio of milk and water initially was 25:33