Allegation & Mixture Tricks and Formulas

Alligation or Mixture

  • 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 at a given price.

  • Mean Price: The cost price of a quantity of the mixture is called the mean price.

  • Rule of Alligation: If two ingredients are mixed, then:

    (QuantityofcheaperQuantityofdearer)=((C.P.ofdearer)(Meanprice)(Meanprice)(C.P.ofcheaper))

    We represent the above formula as under:

    Understadning Alligation Mixtures

    Understadning Alligation Mixtures

    Understadning Alligation Mixtures

(Cheaperquantity):(Dearerquantity)=(dm):(mc)

Alligation Rule

The ratio of the weights of the two items mixed will be inversely proportional to the deviation of attributes of these two items from the average attribute of the resultant mixture. w1w2=(x2x)(xx1)

Alligation Cross:

Alligation Mixture

Alligation Mixture

Alligation Mixture

Successive Replacement

Where x is the original quantity, y is the quantity that is replaced and n is the number of times the replacement process is carried out.

QuantityofmilkremainingafternthreplacementQuantityoftotalmixture=(xyx)n