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, the price of the third variety per kg will be:

• A. Rs. $169.50$
• B. Rs. $170$
• C. Rs. $175.50$
• D. Rs. $180$

Answer 1

Answer: (C)

Rs. $175.50$

Since first and second varieties are mixed in equal proportions.
So, their average price $=$ Rs. $\left(\frac{126+135}{2}\right)=$ 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:
$\therefore \frac{x-153}{22.50}=1$
$\Rightarrow x-153=22.50$
$\Rightarrow x=175.50$