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A mixture contains milk and water in the ratio of 5 : 3. When some more milk is added to it, the ratio of milk to water in the resulting mixture becomes 2 : 1. If the initial Quantity of mixture was 800 liters, then find the quantity of the final mixture (in liters).

A mixture contains milk and water in the ratio of 5 : 3. When some more milk is added to it, the ratio of milk to water in the resulting mixture becomes 2 : 1. If the initial Quantity of mixture was 800 liters, then find the quantity of the final mixture (in liters). Correct Answer 900 liters

Let the quantity of additional milk is x liters

In the mixture of 800 liters

Quantity of milk = (5/8) × 800 = 500 liters

So the quantity of water is = 300 liters

According to the question,

⇒ (500 + x)/300 = 2/1

⇒ 500 + x = 600

⇒ x = 600 – 500 = 100 liters

So, the new quantity of the mixture is 800 + 100 = 900 liters

∴ The final quantity of the mixture is 900 liters

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