The cost price and the marked price of an item are ₹720 and ₹900 respectively. When it is sold at a discount of x%, the profit is %. What is the value of x?
Show answer & explanation
Correct answer: D
Explanation
The correct answer is Option 4. i.e
Cost price = ₹720
Marked price = ₹900
Discount% = x%
Selling price = 900 × ( 100 - x )/100 = 900 - 9x.
Profit % = (5x/3)%
Selling price = 720 × ( 300 + 5x )/300 = 720 + 12x
⇒ 720 + 12x = 900 - 9x
⇒ 21x = 180
⇒ x = %