ThePrismSolutions

ThePrismSolutions

ALLIGATION OR MIXTURE

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 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) = (C.P. of dearer) - (Mean price)

(Quantity of dearer) (Mean price) - (C.P. of cheaper)

We present as under: C.P. of a unit quantity of cheaper C.P. of a unit quantity of dearer
(c)       (d)
     (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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