Question

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

विकल्प

• 400 kg

• 560 kg

• 600 kg

• 640 kg

Answer 1

600 kg
Explanation:
By the rule of alligation, we have

\[\begin{array}{cc}
8\%\phantom{...........}18\%\\
\setminus \phantom{............}/ \\
\ce{\underset{14\%}{Mean Profit}}\\
/\phantom{............} \setminus \\
4 \phantom{..............}6
\end{array}\]

Ratio of 1st and 2nd parts = 4 : 6 = 2 : 3

∴ Quantity of 2nd kind = `(3/5xx1000)`kg

= 600 kg