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Alligation or Mixtures Concept

Posted by Ravi Kumar at Saturday, August 20, 2011
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Alligation or Mixtures Concept important points:

It is the rule that enables us to find the ratio in which two of more ingredients at the given price must be mixed to produce a mixture of a desired price.

2.Mean Price:
The cost price of a unit quantity of the mixture is called the mean price.

3.Rule of Alligation:
If two ingredients are mixed then
Quantity of Cheaper / Quantity of Dearer = (C.P of Dearer – Mean Price) /(Mean Price–C.P of Cheaper).

C.P of a unit quantity of cheaper(c)
C.P of unit quantity of dearer(d)

Mean Price(m)

(d-m) (m-c)

Cheaper quantity:Dearer quantity = (d-m):(m-c)

4.Suppose a container contains x units of liquid from which y units are taken out and replaced by water. After n operations the quantity of pure liquid = x (1 – y/x)n units.

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