# Aptitude - Alligation or Mixture

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### Overview

• Important Formulas

### Exercise

"Life is like riding a bicycle. To keep your balance you must keep moving."
- Albert Einstein
1. 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.

2. Mean Price:

The cost 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 = 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).

4. 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