A merchant has 1000 kg of sugar, part of which he sells at 8% profit and the rest at 18% profit. He gains 14% on the whole. The quantity sold at 18% profit is:

A. 400 kg B. 560 kg C. 600 kg D. 640 kg Answer: Option C
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Solution(By Apex Team)

By the rule of alligation, we have: $\begin{array}{l}\text{Ratio of 1st and 2nd parts}\\ \text{= 4 : 6}\\ \text{= 2 : 3}\\ \text{∴ Quantity of 2nd kind}\\ \begin{aligned}&=\left(\frac{3}{5}\times1000\right)\mathrm{kg}\\ &=600\mathrm{~kg}\end{aligned}\end{array}$

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