ALLIGATION OR MIXTURE - IMPORTANT FORMULAS
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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 cheaperC.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 |
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