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: Option CShow Answer
Solution(By Apex Team)
Since first and second varieties are mixed in equal proportions.
So, their average price
$\begin{array}{l}
=\text { Rs. }\left(\Large\frac{126+135}{2}\right) \\
=\text { Rs. } 130.50
\end{array}$
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:
$\begin{aligned}&\therefore\frac{x-153}{22.50}=1\\
&\Rightarrow x-153=22.50\\
&\Rightarrow x=175.50\end{aligned}$
$\begin{aligned}&\therefore\frac{x-153}{22.50}=1\\
&\Rightarrow x-153=22.50\\
&\Rightarrow x=175.50\end{aligned}$
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