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In a mixture of 60 liters of milk and water, the water content is 15%. How many liters of water must be added to increase the water content in the new mixture to 20%?

In a mixture of 60 liters of milk and water, the water content is 15%. How many liters of water must be added to increase the water content in the new mixture to 20%? Correct Answer 3.75

Given:

Quantity of mixture of milk and water = 60 litres

Quantity of water = 15% 

Quantity of water in the new mixture = 20%

Calculation:

Let the quantity of water need to mix in the mixture be x litres.

Quantity of water in the original mixture = 60 × 15% = 9 litres

Quantity of milk in the original mixture = (60 - 9) = 51 litres

Now, according to the question

(x + 60) × 20% = (x + 9) 

⇒ (x + 60)/5 = (x + 9) 

⇒ x + 60 = 5x + 45

⇒ 4x = 15

⇒ x = 3.75

∴ The required amount of water need to mix in the mixure is 3.75 litres.

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