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Mixture and Alligation

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

  1. 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.

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)

Mixture and Alligation Questions

[WpProQuiz 148]

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