A shopkeeper marks an article at a price such that after giving a discount of x%, he gains 20%. If the cost price and the marked price of the article are ₹920 and ₹1472 respectively, then what is the value of x?

25

Cost price : Marked price = (100 - Discount%) : (100 + Gain%)

⇒ 920 : 1472 = (100 - Discount%) : (100 + 20) 

⇒ \(\frac{920}{1472}\) × 120 = 100 - Discount%

⇒ 75 = 100 - Discount%

⇒ Discount% = 100 - 75 = 25%