Two jars having a capacity of 3 and 5 litres respectively are filled with mixtures of milk and water. In the smaller jar 25% of the mixture is milk and in the larger 25% of the mixture is water. The jars are emptied into a 10 litre cask whose remaining capacity is filled up with water. Find the percentage of milk in the cask.
45%
55%
None of these
50%
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Answer:
The answer is 45%.
Explanation:
The two jars having a capacity of 3 litre and 5 litres respectively are filled with mixtures of milk and water.
As given in the smaller jar 25% of the mixture is milk and the larger jar has 25% of the mixture is water.
Amount of milk in the first jar= 3 x(25/100)= 3/4 ltr
Amount of milk in the second jar= 5 x(75/100)= 15/4 ltr
Now the jars are emptied into a 10 litre cask whose remaining capacity is filled up with water. So the percentage of milk in the cask should be
[{(3/4)+(15/4)}/10]x100
= {18/(4x10)}x100 %
= 45%
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