In this article, we are going to discuss the rule of mixtures and alligations. Alligation is an important area for all competitive exams like CAT, MAT, Bank PO, Bank Clerical, SSC etc. This technique enables us to find the ratio in which two or more ingredients at the given price must be mixed to produce a mixture of a desired price. This technique can be applied to any topic like mixtures, profit & loss, simple interest, time & distance, percentage, etc.
Rule of Alligation
Alligation is a rule that enables us to find the ratio in which two or more ingredients at the given price must be mixed to produce a mixture of desired price. There are two types of methods used in alligation.
Alligation Method 1
Example 1: In what ratio must a shopkeeper mix two types of rice worth Rs. 50 kg and Rs. 70 kg, so that the average cost of the mixture is Rs. 65 kg?
Solution: By Rule of alligation,
Alligation Method 2 : Repeated Dilution
Example 2: A container contains 50 litres of milk. From this container, 10 litres of milk was taken out and replaced by water. This process is repeated one more time.How much milk is now left in the container?
Solution: Applying the Replacement Method: Amount of milk after 2 operations =
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Mixture and Alligation: Key Learning
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