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 Alligation or Mixture :-
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 ::Important Formulas ::Important Examples

Here Some Basic Formulas/Rules Are given below :-

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. 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:

 C.P. of a unit quantity of cheaper C.P. of a unit quantity of dearer
 (c) Mean price     (m) (d) (d-m) (m-c)

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

3. Mean Price:

The cost of a unit quantity of the mixture is called the mean price.

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 -
 x y
)
n ] units
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