Alligation or Mixture

Alligation
·       It is the 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 a desired price.

Mean Price:
·       The cost price of a unit quantity of the mixture is called the mean price.

Suppose a container contains x of liquid from which y units are taken out and replaced by water.After n operations, the quantity of pure liquid  
                 Mixture and Alligation Shortcut Methods
Alligation Rule:
When two elements are mixed to make a mixture and one of the elements is cheaper and other one is costlier then,
Mixture and Alligation shortcut methods
Here Mean Price is CP of mixture per unit quantity.
Above rule can be written as,
                                  Mixture and Alligation Shortcut Formulas
Then, 
Cheaper Quantity : Costlier Quantity = (D – M) : (M – C)
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