Arithmatical – Alligation or Mixture
DIRECTIONS : Important Facts and Formulae
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. |
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2. | Mean Price : The cost price of a unit quantity of the mixture is called the mean price. |
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3. | 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. |
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4. | Rule of Alligation: |
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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 : |
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C.P. of a unit quantity of cheaper |
C.P. of a unit quanitity of dearer
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(Cheaper quantity) : (Dearer quantity) = (d-m):(m-c). |