Question

Tea worth Rs.126 per kg and Rs.135 per kg are mixed with a third variety in the ratio 1 : 1 : 2. If the mixture is worth Rs.153 per kg then find the price of the third variety per kg.

Answer 1

Since first and second varieties are mixed in equal proportions so their average price

$=\left(\frac{126+135}{2}\right)=Rs.130.50$
So, the mixture is formed by mixing two varieties one at Rs.130.50 per kg

And the other at say Rs.$x$ per kg in the ratio $2:2$ i.e. $1:1$.

We have to find $x$.
By the rule of alligation, we have

$1=\frac{x-153}{22.5}153+22.5=x$

$\Rightarrow x=Rs.175.50$