question_answer

A merchant had 50 kg of pulse. He sells one part at a profit of 10% and other at 5% loss. Overall he had a gain of 7%. Find the quantity of pulses, which he sold at 10% profit and 5%loss.

A) 40 kg, 10 kg

B) 40 kg, 15 kg

C) 40 kg, 12 kg

D) 40 kg, 9 kg

Correct Answer: A

Solution :

[a] Ratio of pulse sold at 10% profit and 5% loss = 12 : 3 = 4 : 1 \[\therefore \] Quantity of pulse sold at 10% profit \[=\frac{4}{4+1}\times 50\] \[=40\,\,kg\] and quantity of pulse sold at 5% loss \[=\frac{1}{4+1}\times 50\] \[=\frac{1}{5}\times 50=10\,kg\]