A shopkeeper allows 40% discount on his goods. He further gives 20% discount. What is the single discount equivalent to these two successive discounts?
Show answer & explanation
Correct answer: B
Explanation
The correct answer is option 2 i.e. 52%.
Let the marked price of the article be 100x.
SP = MP × (100 - D1)/100 × (100 - D2)/100
According to the given question,
SP = 100x × 60/100 × 80/100
⇒ SP = 48x
Now, single discount = [(100x - 48x)/100x] × 100
⇒ (52x/100x) × 100 = 52%