An article is sold at a certain price. By selling it at \(\frac{2}{3}\) of that price, the seller loses 10%. The original gain percentage is:
Answer & explanation
Correct answer: option 3
The correct answer is Option (3) → 35%
The cost price stays the same at both selling prices, so both prices are written in terms of the cost price; the loss at the lower price fixes the original price.
Assuming the cost price to be 100:
Selling at a loss of 10%, the price received \(=90\)
This is \(\frac{2}{3}\) of the original price, so the original price \(\displaystyle =90\times\frac{3}{2}=135\)
Original gain \(=135-100=35\), that is, 35% of the cost price