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

Solution(By Examveda Team)

By the rule of alligation, we have:

Ratio of 1^st and 2^nd parts
= 4 : 6
= 2 : 3
∴ Quantity of 2^nd kind
$$\eqalign{ & = \left( {\frac{3}{5} \times 1000} \right)\,{\text{kg}} \cr & = 600\,{\text{kg}} \cr} $$