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 : A mixture contains liquid A and B in the ratio 5 : 3, respectively. If 3 litres of liquid B is added to it, the ratio of liquid A to liquid B becomes 7 : 6. What is the quantity of liquid A in the mixture?

Option 1: $7 \frac{2}{3}$ litres

Option 2: $9 \frac{1}{3}$ litres

Option 3: $11 \frac{2}{3}$ litres

Option 4: $13 \frac{1}{3}$ litres

Question : A bottle is filled with liquid, of which 4 parts are water and 5 parts are fruit extract. How much of the mixture must be drawn off and replaced with water so that the mixture may be half water and half fruit extract?

Option 1: $\frac{1}{10}$

Option 2: $\frac{9}{10}$

Option 3: $\frac{4}{9}$

Option 4: $\frac{5}{9}$

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 : 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