Question : 150 litres mixture of milk and water contains 30 percent milk. How much more milk must be added to make the water percentage in the mixture as 40 percent?
Option 1: 120.5 litres
Option 2: 157.5 litres
Option 3: 132.5 litres
Option 4: 112.5 litres
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Correct Answer: 112.5 litres
Solution :
The initial volume of the mixture = 150 litres, of which 30% is milk.
The volume of milk in the mixture is = 150 ×$ \frac{30}{100}$ = 45 litres
The volume of water in the mixture is = 150 – 45 = 105 litres
To make the percentage of water 40%, the volume of milk has to be 60%
So, Volume of water in the mixture having 40% of water = 105 litres
Total volume of such a mixture = $\frac{105}{40}\times 100=262.5$ litres
So, we need to add 262.5 – 150 = 112.5 litres of Milk to make the percentage of water in the mixture 40%
Hence, the correct answer is 112.5 litres.
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