Mixture & Alligation

 Q1. In a mixture of 25 litres, the ratio of acid to water is 4 : 1. Another 3 litres of water is added to the mixture. The ratio of acid to water in the new mixture is


Ans. 5:2


Q2. In a mixture of 24 L, the ratio of acid to water is 3:5. 6Lwater is added to the mixture. The ratio of acid to water in the new mixture is?


Ans. 3:7


Q3. 200 litres of a mixture contains milk and water in the ratio 17: 3. After the addition of some more milk to it, the ratio of milk to water in the resulting mixture becomes 7: 1. The quantity of milk added to it was.


Ans. 40 ltrs


Q4. In a mixture, milk and water are in ratio of 2: 3. Some milk is added to the mixture because of which ratio of milk water becomes 2:1. How much milk added as a percentage of initial mixture.


Ans. 80%


Q5. In a mixture, milk and water are in ratio of 1: 4. Some milk is added to the mixture because of which ratio of milk and water becomes 2: 1. How much milk was adddd as a percentage of initial mixture?


Ans. 140%


Q6. A can contains a mixture of two liquids A and B in the ratio 7 : 5. When 9 litres of mixture is drained off and the can is filled with B, the ratio of A and B becomes 7: 9. How much litre of liquid A was contained in the can initially?


Ans. 21 ltr


Q7. A Jar contains a mixture of two liquids A & B in the ratio 4:1. When 10 litres of the mixture is taken out and 10 litres of liquid B is poured into the jar, the ratio becomes 2:3. How many liters of liquid A was contained in the jar?


Ans. 16 ltr


❌Q8. A barrel contains a mixture of wine and water in the ratio 3 : 1. How much fraction of the mixture must be drawn off and substituted by water so that the ratio of wine and water in the resultant mixture in the barrel becomes 1: 1?


Ans. 1/3


Q9. A vessel is filled with liquid. 3 parts of which are water and 5 parts are syrup. How much of the mixture must be drawn off and replaced with water so that the mixture may be half water and half syrup?


Ans. 1/5


Q10. A beaker is filled with a liquid, 3 parts of which are water and 7 parts some medicine. What part of the mixture should be replaced with water so that that the resultant mixture has water and medicine in a ratio 1:1?


Ans. 2/7


Q11. A container contains 40 litres of milk. From this container, 4 litres of milk were taken out and replaced by water. This process was repeated further two times. How much milk is contained b

y the container?

Ans. 29.16 ltr


Q12. A container contains 40 litres of concentrated syrup. 4 litres of it was taken out and replaced with water and the same process was repeated thrice. In the end, what percentage of the solution will be syrup in the container?

65.61%

[Hint: 100% × 9/10 × 9/10 × 9/10 × 9/10 ]


Q13. 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 final mixture?

Milk add > we take Water %

Water add > we take Milk %


56.26%




















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