question_answer

A merchant has 30 kg of sugar, part of which he sells at 10% profit and the rest at 14% profit. Thus, he gains 13% on the whole. Find the quantity sold at 14% profit.

A)  29.2 kg            

B)  19.5 kg

C)         23.4 kg

D)         24.2 kg

E)         22.5 kg

Correct Answer: E

Solution :

By alligation method: Quantity sold at 14% profit\[=\frac{3}{4}\times 30\] \[=\,\,22.5\text{ }kg\]