business mathematics

Alligation or Mixtures Concept important points:

1.Alligation:
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 Alligation:
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.