Question : The cost of two types of rice is Rs 60 per kg and Rs 84 per kg. If both the rice is mixed in the ratio of 1 : 1, then what should be the price of a mixed variety of rice per kg?
Option 1: Rs. 80 per kg
Option 2: Rs. 68 per kg
Option 3: Rs. 76 per kg
Option 4: Rs. 72 per kg
Correct Answer: Rs. 72 per kg
Solution :
Given: The cost of two types of rice is Rs 60 per kg and Rs 84 per kg.
Both the rice is mixed in the ratio of 1 : 1.
Let two varieties of rice have $x$ quantity.
$x$ kg of rice costs 60 × $x$ = $60x$
Additionally, the cost of $x$ kg of rice is 84 × $x$ = $84x$
The mixture's price = $\frac{60x+84x}{x+x}$ = $\frac{144x}{2x}$ = Rs. 72
Hence, the correct answer is Rs. 72 per kg.
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