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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 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 = 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)Mean Price
    (m)    		(d)
    (d - m)(m - c)
    (Cheaper quantity) : (Dearer quantity) = (d - m) : (m - c).
  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 n units.
    x



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