# Simple aptitude tricks-Mixtures and Alligation

Important Concepts and Formulas – Mixture and Alligation1. Alligation

Alligation is the rule which enables us to find the ratio in which two or more ingredients at the given price must be mixed to produce a mixture of a specified price.

2. Mean Price

Mean price is the cost price of a unit quantity of the mixture

3. Suppose a container contains x units of a liquid from which y units are taken out and replaced by water. After n operations, quantity of pure liquid
=x(1y/x)n units.

4. Rule of Alligation

If two ingredients are mixed, then
(Quantity of cheaperQuantity of dearer)(Quantity of cheaperQuantity of dearer) =(CP of dearer – Mean PriceMean price – CP of cheaper)=(CP of dearer – Mean PriceMean price – CP of cheaper)

The above formula can be represented with the help of the following diagram which is easier to understand.

=> (Cheaper quantity) : (Dearer quantity) = (d – m) : (m – c)

Correct! Wrong!

Correct! Wrong!

Correct! Wrong!

Correct! Wrong!

#### Find the ratio in which rice at Rs. 7.20 a kg be mixed with rice at Rs. 5.70 a kg to produce a mixture worth Rs. 6.30 a kg.

Correct! Wrong!

alligation and mixtures
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