Ratio & Proportion
Mixture & Alligation
As the name suggests, a mixture is the mixing of two or more things together, and allegation enables us to find the ratio in which the ingredients/things have been mixed and yield profit or loss.
Simple Mixtures: When two or more different ingredients/solutions are mixed together.
Compound Mixtures: When two or more simple mixtures are mixed together. In mixture and solutions, we deal with 2 concepts:
- Alligation
- Replacement
Alligation: It is a method in which two or more solutions/ingredients are mixed in different ratios and the desired mixture is obtained or the desired mixture is given and the respective ratio in which the given solutions are mixed is asked in the question.
Important Formulas for Mixture and Alligation:
Let a container contains “x” units of liquid from which “m” units of liquid are taken out and replaced by water or any other And this operation is repeated for “n” times. Thus, the quantity of remaining pure liquid after “n” operations:
If two different articles are priced at CP1 and CP2 with their quantities Q1, and Q2 then the Cost Price of the Mixture is calculated by the following Method:
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