Question

The cost of Type $1$ rice is Rs. $15$ per kg and Type $2$ rice is Rs. $20$ per kg. If both Type $1$ and Type $2$ are mixed in the ratio of $2:3$, then the price per kg of the mixed variety of rice is:

• A. Rs. $18$
• B. Rs. $18.50$
• C. Rs. $19$
• D. Rs. $19.50$

Answer 1

The correct option is A Rs. $18$

Let the price of the mixed variety be Rs. $x$ per kg.
By the rule of alligation, we have:
$\therefore$ $\frac{(20-x)}{(x-15)}=\frac{2}{3}$
$\Rightarrow 60-3x=2x-30$
$\Rightarrow 5x=90$
$\Rightarrow x=18$.