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A mixture of 40 litres of milk and water contains 10% of water. How much water is to be added to the…

The correct choice is: “5 litres” Water = 10% of 40 = 4 litres, so milk = 36 litres. Adding water does not change the milk. In the new mixture water is 20%, so milk is 80%:…

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A mixture of 40 litres of milk and water contains 10% of water. How much water is to be added to the mixture so that the water may be 20% in the new mixture?

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Correct answer A

The correct choice is: “5 litres”

Water = 10% of 40 = 4 litres, so milk = 36 litres.

Adding water does not change the milk. In the new mixture water is 20%, so milk is 80%:

36 = 0.8 × (new total) ⟹ new total = 45 litres.

Water to be added = 45 − 40 = 5 litres. (Check: water = 4 + 5 = 9 litres, and 9/45 = 20%.)

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