It is given that the cost price of article is $19800.
By selling the article the shop makes 20% profit.
This means if the shop earns $100 for an article by selling then the cost price of article is $80.
The price of the sold article `= 19800/80xx100 = $24750`
This $24750 refers to the 10% discount of marked price.
This means if the price of article is $100 then the selling price is $90.
Marked price `= 24750/90xx100 = $27500`
So the marked price of the article is $27500.