# 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: If a mixture contains two liquids in the ratio a:b and if x litre of b is added to the mixture, then ratio of two liquids becomes a:c, then quantity of liquid a in the mixture is given by
[ax/(c-b)] and that of liquid b is given by [bx/(c-b)].
Example: 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 [(4×5)/(5-3)]= 20/2= 10 litre.
Type-2: A container initially contains x unit of liquid and a unit of liquid is taken out and it is filled with a unit of water repeatedly up to n times, then the final quantity of the original liquid in the container is given as
Example: 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: A Container has milk and water in the ratio a:b, a second container has milk and water in the ratio 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. 