## 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.

The rule of alignment helps us determine the ratio in which two or more ingredients, each priced in a certain way, must be combined to create a mixture with the desired price. Its Mean Price is the cost price of a unit quantity of such a mixture.

### Mixture and Alligation Formula

**What is an Allegation?**

The ratio (R) in which ingredients are mixed is determined by the allegation when two ingredients X and Y of prices p and q, respectively, are combined, resulting in a mixture with a price of M (mean price).

**(Cheaper quantity) : (Dearer quantity) = (d â€“ m) : (m â€“ c)**

**What is a Mixture?**

A mixture is created by combining two or more ingredients to achieve the desired result. A ratio or percentage can be used to express the quantity.

**Example:**Â

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 mean price is the price of a unit quantity of the mixture.

### Mixture and Alligation Formula

- It is the rule that allows us to determine the ratio in which two or more ingredients at the specified price must be combined to create a mixture of desired price.
**Mean Price: The mean price is the cost of a unit quantity of the mixture.**

**Mixture and Alligation Formula**

Consider a container that once held x units of liquid A, but now has y units of liquid A removed and replaced with water. After this process is carried out n times, the formula will provide the amount of pure liquid:

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

**Therefore, (Cheaper Commodity) : (Dearer Commodity) = (d â€“ m) : (m-c)**