Allegation Synopsis

1.Allegation :  It is the rule that enables us to find the

ratio in which two of more ingredients at the given price

must be mixed to produce a mixture of a desired price.

2.Mean Price : The cost price of a unit quantity of the

mixture is called the mean price.

 3.Rule of Allegation :  If two ingredients are mixed then

Quantity of Cheaper / Quantity of Dearer =

(C.P of Dearer – Mean Price) /(Mean Price–C.P of Cheaper).

C.P of a unit quantity of cheaper(c)   

C.P of unit quantity of dearer(d)

Mean Price(m)

 (d-m)      (m-c)

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/x)n units.