Alligation Or Mixture

Alligation- the rate to find the ratio in which two or more ingredients at the given price.must be mixed to produce a mixer of a desired price.
Mean price- the cost price of a unit remobilty of the mix are is called mean price.

Rule of allegation \frac{(quantity of cheaper)}{(quantity of deaver)}= \frac{(c.p of deaver)-(mean price)}{(mean price)-(c.p of cheaper)}

Mean-price

cheaper quantity: dearer quantity= (d-m): (m-c)

A container of x unit capacity of liquid, when we taken out some unit say x replaced by water, when we do the same operation n times.
quantity of pure liquid= [x(1-x^1/x)n]unit