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In a mixture of 80 litres of milk and water, 25% of the mixture is milk. How much water should be added to the mixture so that milk becomes 20% of the mixture?(A) 20 litres(B) 15 litres(C) 25 litres(D) None of these

Question

In a mixture of 80 litres of milk and water, 25% of the mixture is milk. How much water should be added to the mixture so that milk becomes 20% of the mixture?(A) 20 litres(B) 15 litres(C) 25 litres(D) None of these

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Solution

Sure, let's solve this step by step:

  1. In the initial mixture of 80 litres, 25% of the mixture is milk. This means that the quantity of milk is 25/100 * 80 = 20 litres.

  2. The question asks how much water should be added so that milk becomes 20% of the mixture. Let's assume that the quantity of water to be added is x litres.

  3. After adding x litres of water, the total quantity of the mixture becomes 80 + x litres. According to the problem, 20% of this new total quantity should be milk.

  4. Therefore, we can set up the equation: 20/100 * (80 + x) = 20.

  5. Solving this equation for x gives us x = 20 * 5 - 80 = 100 - 80 = 20 litres.

So, 20 litres of water should be added to the mixture so that milk becomes 20% of the mixture. Therefore, the answer is (A) 20 litres.

This problem has been solved

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