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)