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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 C
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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: $\begin{aligned}&\therefore\frac{x-153}{22.50}=1\\ &\Rightarrow x-153=22.50\\ &\Rightarrow x=175.50\end{aligned}$

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