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When 20 liters of water is added to a mixture of milk and water, the new mixture contains 50 percent of milk. When 25 liters of milk is added to the new mixture, then the resulting mixture contains 60 percent milk. What is the quantity of the initial mixture?

When 20 liters of water is added to a mixture of milk and water, the new mixture contains 50 percent of milk. When 25 liters of milk is added to the new mixture, then the resulting mixture contains 60 percent milk. What is the quantity of the initial mixture? Correct Answer 80 litres

Given:

When 20 liters of water is added to a mixture of milk and water, the new mixture contains 50 percent of milk.

When 25 liters of milk is added to the new mixture, then the resulting mixture contains 60 percent milk.

Calculation:

Let the quantity of original Mixture be x litre

When 20 liters of water added in the mixture,

Quantity of milk in the mixture now = (x + 20) × (50/100) = (x + 20)/2

Now, 25 liters of milk is added to the new mixture

⇒ (x + 20 + 25) × (60/100) = (x + 20)/2 + 25

⇒ (x + 45) × (⅗) = (x + 70)/2

⇒ 6x + 270 = 5x + 350

⇒ x = 80 litres

∴ The quantity of the initial mixture is 80 litres.

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