### mixtures

Home > Aptitude > mixtures

'

__Mixture and Alligation__

Mixture

When we mix two or more then 2pure substance , we get what is known as a mixture.

Mixture of Mixtures :- If we mix two mixtures which have components say A and B in the final mixture is given by

If a contains 'x' liter of liquid 'x' and if 'y' liters is taken out and replaced by 'y' liters of liquid 'z' and if the above step is repeated with the mixture so obtained that is x liter of mixture replaced with y liter of liquid 'z' then if the above operation is repeated 'n' times then

Mixture of Mixtures :- If we mix two mixtures which have components say A and B in the final mixture is given by

**RULE oF Mixture**If a contains 'x' liter of liquid 'x' and if 'y' liters is taken out and replaced by 'y' liters of liquid 'z' and if the above step is repeated with the mixture so obtained that is x liter of mixture replaced with y liter of liquid 'z' then if the above operation is repeated 'n' times then

Initial quantity of liquid X contains

Liquid X left in the containes after n

= (^{th}operationx

x - y

) ^{n}

Initial quantiy of liquid X contains

Amount of Liquid Z the solution container after n

= 1 - (^{th}operationx

x - y

) ^{n}

Allegation

In this we find the proportion in which ingredients at given prices must be mixed to produce a mixture at a given price, this is termed as allegation.

If gradients are mixed in a ratio then we can write

**RULE of Alligation**If gradients are mixed in a ratio then we can write

Quantity of dearer

Quantity of Cheaper

= Mean Price - CP of cheaper

CP of dearer - Mean Price