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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Question : A mixture of 70 litres of wine and water contains 10% of water. How much water must be added to make the water $12 \frac{1}{2}\%$ of the resulting mixture?
Option 1: 5 litres
Option 2: 3 litres
Option 3: 2 litres
Option 4: 4 litres
Question : A 40-litre mixture of milk and water contains milk and water in the ratio of 7 : 3. How many litres of water should be added to the mixture so that the resulting mixture has 60% water in it?
Option 1: 30
Option 2: 35
Option 3: 20
Option 4: 25
Question : In a mixture of 178 litres, the ratio of water and milk is 5 : 7. How much water should be added to make the ratio of water and milk 3 : 4?
Option 1: $3 \frac{17}{24}$ litres
Option 2: $3 \frac{13}{24}$ litres
Option 3: $2\frac{11}{24}$ litres
Option 4: $2\frac{23}{24}$ litres
Question : A mixture contains alcohol and water in the ratio 4 : 3. If 5 litres of water is added to the mixture, the ratio becomes 4 : 5. The quantity of alcohol in the given mixture is:
Option 1: 3 litres
Option 2: 4 litres
Option 3: 15 litres
Option 4: 10 litres
Question : A 10-litre solution of milk and water contains 8 litres of milk. 2 litres of the solution is replaced by pure milk and mixed. The process is repeated two more times. How much milk (in litres) is present in the mixture so obtained?
Option 1: 8.976
Option 2: 8.597
Option 3: 8.796
Option 4: 8.679
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