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