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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:
Answer & Solution
Correct Answer:
Option
A
Let the price of the mixed variety be Rs. x per kg.
By rule of alligation, we have:
$$\eqalign{ & \therefore \frac{{20 - x}}{{x - 15}} = \frac{2}{3} \cr & \Rightarrow 60 - 3x = 2x - 30 \cr & \Rightarrow 5x = 90 \cr & \Rightarrow x = 18 \cr} $$
By rule of alligation, we have:
$$\eqalign{ & \therefore \frac{{20 - x}}{{x - 15}} = \frac{2}{3} \cr & \Rightarrow 60 - 3x = 2x - 30 \cr & \Rightarrow 5x = 90 \cr & \Rightarrow x = 18 \cr} $$
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