mixtures and alligations problems
 
 Alligation rule is used to determine the exact proportion to mix two ingredients of any price to obtain a mixture with estimated cost.     Mean price: Cost price of the mixture per unit.     suppose a container contains x units of liquid out of which y units are replaced then quantity of liquid after n such operations left in container would be x(1-y/x)^n       Alligation rule:   Quantity of cheap ingredient(b) : Quantity of costly ingredient (a)= x2-x1 : x1-x0     point to remember:  cost price of mixture always lies between two costs.      Consider the graph Quantity v/s Cost , with this method one can solve problems with more ease   A: Type of cheaper ingredient.   B: Type of costly ingredient.  x0: cost of cheaper ingredient.  x1: cost of mixture.  x2: cost of costly ingredient.  Quantity of cheap ingredient : Quantity of costly ingredient = x2-x1 : x1-x0    
