An article is sold for ₹ 452.20, after allowing three successive discounts of 20%, 30% and 5%. If a single discount of 55% is given on the marked price, then its selling price (in ₹) will be:
Show answer & explanation
Correct answer: B
Explanation
The correct answer is option 2 i.e. 382.50.
Given:
An article is sold for ₹ 452.20, after allowing three successive discounts of 20%, 30% and 5%
Single discount = 55%
Calculations:
Let the marked price be x
Resultant discount after two discounts = 20 + 30 - (20 × 30/100) = 44%
Final discount after three discounts = 44 + 5 - (44 × 5/100) = 46.8%
⇒ x - x × 46.8% = 452.20
⇒ x × 0.532 = 452.2
⇒ x = 850
Now, when 55% discount is allowed on the marked price
⇒ 850 × (100 - 55)%
⇒ 850 × 45/100 = 382.5