A shopkeeper sold his goods at half the list price and thus lost 17%. If he had sold on the listed price, then his gain percentage would be:
Show answer & explanation
Correct answer: D
Explanation
The correct answer is option 4 i.e. 66%.
Let the list price of an article be 100 units
The selling price of the article = 100/2 = 50 units
Loss = 17%
According to the question
Cost price = Selling price × (100/100 - 17) = 5000/83 = 60.24 units
Now, it is selling at list price i.e. 100 units
Hence, the gain % = [(S.P. - C.P.)/C.P.] × 100 = (100 - 60.24)/60.24] × 100 = 66%