Important Alligation or Mixture Formulas

  1. Alligation
    Allegation 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 o 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:
    Alligation or Mixture

    (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