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:

35%

Selling Price = 2/3 of original price

Loss = 10%

CP = SP (100/(100-L))

Assume Original SP = x

SP = 2x/3

CP = 2x/3 *(100/(100-10))

CP = 2x/3 * (100/90) = 20x/27

Gain = SP - CP = x - [2x/3*(10/9)] = x - 20x/27 = 7x/27

Gain % = [(7x/27) / (20x/27)] * 100 = 35%

The correct answer is Option (3) → 35%