Exercise :: Alligation or Mixture  Important Formulas
 Alligation or Mixture  Important Formulas
 Alligation or Mixture  General Questions

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 desired price.

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

Rule of Alligation:
If two ingredients are mixed, then
Quantity of cheaper = C.P. of dearer  Mean Price Quantity of dearer Mean price  C.P. of cheaper We present as under:
C.P. of a unit quantity
of cheaper C.P. of a unit quantity
of dearer(c) Mean Price
(m)(d) (d  m) (m  c) (Cheaper quantity) : (Dearer quantity) = (d  m) : (m  c).

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 = x 1  y n units. x