Rohita offers a discount of 20% on the marked price of an object. Due to recession of market, she further offers a discount of 30% on its sale. What is the equivalent single discount percentage corresponding to these two successive discounts offers?
Show answer & explanation
Correct answer: D
Explanation
The correct answer is option 4 i.e. 44%.
Let the marked price = ₹100
First discount = 20% ⇒ After first discount, price = 100 − 20 = ₹80
Second discount = 30% on ₹80 ⇒ Final price = 80 − 30% of 80 = 80 − 24 = ₹56
So, effective discount = 100 − 56 = ₹44
Effective discount % = (44 / 100) × 100 = 44%