Question

A mixture of 20 litres of milk and water contains 10% of water. How much water should added to it to increase the percentage of water to 25%?​

Answer 1

4 litres of water should be added to it to increase the percentage of water to 25%

Step-by-step explanation:

The initial quantity of a mixture of milk and water = 20 litres  

So, 10% of the water of the mixture = (10/100) * 20 = 2 litres

∴ The remaining quantity = 20 – 2 = 18 litres of milk

Let “x” litres of water be added to increase the % of water to 25%.

Therefore,

The final mixture will be = (20 + x) litres

The quantity of water in the resultant mixture = (2 + x) litres  

Now, according to the question, we can write the eq. as,

New quantity of water = 25% of [New mixture]

⇒ 2 + x = $\frac{25}{100}$ * (20+x)

⇒ 2 + x = ¼ * (20+x)

⇒ 4 (2 + x) = 20 + x  

⇒ 8 + 4x = 20 + x

⇒ 3 x = 12

⇒ x = 12/3

⇒ x = 4 litres  ← water should be added to increase the percentage of water to 25%

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