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?
Answer & explanation
Correct answer: option 4
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%