Discussion
Resultant price of mixture of golden rice is Rs. 480 per kg. This mixture is made from two varieties of golden rice which are having price of Rs. 420 per kg and Rs. 520 per kg. What should be ratio of quantities of both types of golden rice?
Answer: B
The alligation rule gives the ratio in which two ingredients must be mixed:
\[ \frac{\text{cheaper quantity}}{\text{dearer quantity}} = \frac{\text{dearer} - \text{mean}}{\text{mean} - \text{cheaper}} \]
\[ \frac{\text{Rs. 420 rice}}{\text{Rs. 520 rice}} = \frac{520 - 480}{480 - 420} = \frac{40}{60} = \frac{2}{3} \]
So the ratio is \( 2 : 3 \). The mean of 480 lies closer to 520 than to 420, so the dearer variety must be the larger share - which is the check on the direction of the ratio.
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