Alligation Concept

Important Facts and Formula:
1.Allegation:It is the rule that enables us to find the
ratio in which two of more
ingredients at the given price must be
mixed to produce a mixture of a desired price.

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

3.Rule of Allegation: If two ingredients are mixed then
Quantity of Cheaper / Quantity of Dearer =
(C.P of Dearer - Mean Price) /(Mean Price-C.P of Cheaper).

C.P of a unit quantity of cheaper(c)    C.P of unit quantity of dearer(d)


                              Mean Price(m)

            (d-m)                                   (m-c)

Cheaper quantity:Dearer quantity = (d-m):(m-c)

4.Suppose a container contains x units of liquid from which y units
are taken out and replaced by water. After n operations the
quantity of pure liquid = x (1 - y/x)n units.