## Mixture and Alligation

Mixture and Alligation – General Questions Mixture Questions is an an essential part for Competitive Exams like Banking, Insurance, **SSC** and Railways Exams. – Try Now.

Alligation 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 the desired price**. The cost price of a unit quantity of such a mixture is called its Mean Price

### Mixture and Alligation Formula

**What is an Allegation?**

When two ingredients X and Y of price p and q respectively are mixed together, such that the price of the resultant mixture is M (mean price), then the ratio (R) in which ingredients are mixed is given by, **the rule of the allegation.**

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

**What is a Mixture?**

In a **mixture, ** two or more ingredients are mixed together to get a desired quantity. The quantity can be expressed as ratio or percentage.

**For example:** When two varieties of sugar are mixed to form a new variety of sugar then it is called as a

mixture.

**What is a Mean Price?**

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

### Mixture and Alligation Formula

- 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.

**Mixture and Alligation Formula**

Consider a container contain x unit of liquid A from which y units are taken out and replaced by water. This operation is repeated n number of times, then the quantity of pure liquid will be given by the formula:

**Quantity = [x (1-y/x)^n] units.**

**Therefore, (Cheaper Commodity) : (Dearer Commodity) = (d – m) : (m-c)**