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Theory and Formula Mixture & Alligation

1 .Alligation:

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.
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


We present as under:




4 . Suppose a container contains x 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 .