Question : A can of water and milk mixture contains 60% milk. A part of this mixture is replaced by another mixture containing 50% milk and the percentage of milk was found to be 52%. The quantity of mixture replaced is:
Option 1: $\frac{1}{5}$
Option 2: $\frac{3}{5}$
Option 3: $\frac{4}{5}$
Option 4: $\frac{2}{5}$
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Correct Answer: $\frac{4}{5}$
Solution : Given, a can of mixture of water and milk containing 60% milk. Then, a part of this mixture is replaced by another mixture containing 50% milk. The percentage of milk is found to be 52%. ⇒ The ratio of the original solution that has 60% milk concentration to the solution that has 50% milk concentration = 2 : 8 = 1 : 4 Now, the quantity is replaced, = $1−\frac{1}{1+4}$ = $\frac{4}{5}$ Hence, the correct answer is $\frac{4}{5}$.
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Question : A mixture contains milk and water in a ratio of 5 : 3, respectively. On adding 7 litres of water, the ratio of milk to water becomes 1 : 2. Find the quantity of milk in the mixture.
Option 1: 7 litres
Option 2: 10 litres
Option 3: 5 litres
Option 4: 3 litres
Question : In a mixture of 25 litres, the ratio of milk to water is 4 : 1. Another 3 litres of water is added to the mixture. The ratio of milk to water in the new mixture is:
Option 1: 5 : 1
Option 2: 5 : 2
Option 3: 5 : 3
Option 4: 5 : 4
Question : The ratio of milk to water in a 100-litres mixture is 2 : 3. 10 litres of this mixture is withdrawn and replaced with milk. This process is repeated 2 more times. What is the percentage of milk in the final mixture?
Option 1: 56.26%
Option 2: 54.27%
Option 3: 58.21%
Option 4: 51.24%
Question : 20 litres of a mixture contains 20% alcohol and the rest is water. If 4 litres of water is mixed in it, the percentage of alcohol in the new mixture will be:
Option 1: $33\frac{1}{3}\%$
Option 2: $16\frac{2}{3}\%$
Option 3: $25\%$
Option 4: $12\frac{1}{2}\%$
Question : Mixture A contains chocolate and milk in the ratio 4 : 3 and mixture B contains chocolate and milk in the ratio 5 : 2. A and B are taken in the ratio 5 : 6 and mixed to form a new mixture. The percentage of chocolate in the new mixture is closest to:
Option 1: 35%
Option 2: 69%
Option 3: 31%
Option 4: 65%
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