A trader sold half of his articles at 60% profit, half of the remaining at 20% loss and the rest was sold at the cost price. In total transaction his gain % or loss % will be:
Answer & explanation
Correct answer: option 4
Let the cost of cloth=100 Rs
then price of half cloth=50 Rs.
profit=60 %
Then S.P. of half cloth=50×160/100=80Rs.
Price of one fourth cloth=40 Rs.
loss 20%
Then S.P of one fourth cloth=25×80/100=20Rs.
The remaining 25 m cloth's S.P.= 40
Total S.P.=80+20+25=125Rs.
Profit=125−100=25Rs.
Profit percentage=25×100/100
The correct answer is Option (4) → Gain 25%