question_answer

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 (in kg) sold at 18% profit is

A)  560     

B)  600

C)  400                 

D)  640

Correct Answer: B

Solution :

He sells x kg at 8% profit and \[(100-x)\,\,kg\]at 18%. Overall profit of 14% So, by allegation method, ratio of mixing = 2 : 3 So, he sells \[\frac{3}{5}\times 1000=600\,\,kg\]at 18%profit