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