Question : If 80 litres of milk solution has 60% milk in it, then how much milk should be added to make milk 80% in the solution?
Option 1: 70 litres
Option 2: 50 litres
Option 3: 60 litres
Option 4: 80 litres
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Correct Answer: 80 litres
Solution : Given: 80 litres of milk solution has 60% milk in it. Milk in the solution $=\frac{60}{100}×80=48$ Water in the solution $80-48=32$ Let the added milk be $x$ litres to make milk 80% in the solution. So, $\frac{48+x}{80+x}=\frac{80}{100}$ $⇒240+5x=320+4x$ $\therefore x =80$ Hence, the correct answer is 80 litres.
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Question : 40 litres of milk are kept in a container. 4 litres of milk were removed from this container and replaced with water. This procedure was performed two more times. How much milk does the container now hold?
Option 1: 30 litres
Option 2: 34.23 litres
Option 3: 29.16 litres
Option 4: 32 litres
Question : A drink of chocolate and milk contains 8% pure chocolate by volume. If 10 litres of pure milk are added to 50 litres of this drink, the percentage of chocolate in the new drink is:
Option 1: $6 \frac{2}{3}$
Option 2: $5 \frac{2}{3}$
Option 3: $5 \frac{1}{3}$
Option 4: $6 \frac{1}{3}$
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 : A container contains 25 litres of milk. From this container, 5 litres of milk is taken out and replaced by water. This process is further repeated two times. How much milk is there in the container now?
Option 1: 11.5 litres
Option 2: 14.8 litres
Option 3: 13.5 litres
Option 4: 12.8 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
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