# Aptitude Shortcuts and Tricks for Allegation& Mixture Problems

Aptitude Shortcuts and Tricks for Allegation& Mixture Problems:

Dear Readers, Aptitude Shortcut methods and tricks for the problems related to Allegation& Mixture were given below. Candidates those who are preparing for upcoming exams can use this.

Type-1:Â If a mixture contains two liquids in the ratioÂ a:bÂ and ifÂ xÂ litre ofÂ bÂ is added to the mixture, then ratio of two liquids becomesÂ a:c, then quantity of liquidÂ aÂ in the mixture is given by
[ax/(c-b)] and that of liquid b is given by [bx/(c-b)].
Example:Â A mixture contains milk and water in ratio 4:3. If 5 litre of water is added to the mixture. The ratio becomes 4:5. The quantity of milk [(4Ã—5)/(5-3)]= 20/2= 10 litre.
Type-2:Â A container initially containsÂ xÂ unit of liquid andÂ aÂ unit of liquid is taken out and it is filled withÂ aÂ unit of water repeatedly up to n times, then the final quantity of the original liquid in the container is given as
Example:Â A container has 60 litre of milk, from this container, 4 litre of milk is taken out and replaced with water. If this process is repeated 3 times, then quality of milk in container left
Type-3:Â A Container has milk and water in the ratioÂ a:b, a second container has milk and water in the ratioÂ c:d. If both the mixture are emptied into a third container, then the ratio of milk to water in third container is given by
Example: 3 Container has milk and water in the ratio 2:1, 3:1, 3:2 respectively and all three containers are emptied into a bigger container, then ratio of milk to water in bigger container.Â