Exercise :: Alligation or Mixture - Important Formulas
- Alligation or Mixture - Important Formulas
- Alligation or Mixture - General Questions
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.
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
(c) Mean Price
(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