Discussion
In what proportion must wheat at Rs. 15 per kg. be mixed with wheat at Rs. 18 per kg. So that the mixture will be worth Rs. 17 per kg. ?
Answer: B
The alligation rule gives the ratio in which two ingredients must be mixed:
\[ \frac{\text{cheaper quantity}}{\text{dearer quantity}} = \frac{\text{dearer} - \text{mean}}{\text{mean} - \text{cheaper}} \]
\[ \frac{\text{Rs. 15 wheat}}{\text{Rs. 18 wheat}} = \frac{18 - 17}{17 - 15} = \frac{1}{2} \]
The mean of 17 is nearer the dearer price, so more of the Rs. 18 wheat is needed.
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