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) 40 kg, 10 kg

Description for Correct answer:
According to the rule of allegation,

[-ve sign indicates loss]



Therefore, Ratio of pulses sold at 10% profit 5% loss = 12 : 3 = 4 : 1

Therefore, Quantity of pulse sold at 10% profit

= \( \Large \frac{4}{4+1} \times 50 \)

\( \Large \frac{4}{5} \times 50 \)

and quantity of pulse sold at 5% loss

= \( \Large \frac{1}{4+1} \times 50 \)

= \( \Large \frac{4}{5} \times 50 \) = 10kg


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