Discussion
Sugar at Rs.15 per kg is mixed with sugar at Rs.20 per kg in the ration 2 : 3. Find the price per kg of the mixture:
Answer: C
The mixture costs Rs 18 per kg.
Take 2 kg of the Rs 15 sugar and 3 kg of the Rs 20 sugar, in the ratio 2 : 3:
\[ \begin{aligned} \text{cost} &= 2 \times 15 + 3 \times 20 = 90 \\ \text{price per kg} &= \frac{90}{2 + 3} = 18 \end{aligned} \]
A quick check: the mixture price must lie between 15 and 20, and closer to 20 because there is more of the dearer sugar. Rs 17 is the price if the ratio were reversed (3 : 2), and Rs 21 is impossible, being above both prices; Rs 19 is too close to the dearer sugar.
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