The marked price of an article is ₹1,000. It is sold for ₹712.89 after three successive discounts on the marked price, one of 10% and two of x% each. What is the value of x?
Show answer & explanation
Correct answer: A
Explanation
The correct answer is option 1 i.e. 11.
1000 × (90/100) × (100 - x)/100 × (100 - x)/100 = 712.89
⇒ 900 × (100 - x)2/10000 = 712.89
⇒ (100 - x)2 = (712.89 × 10000)/900 = 7921
⇒ 100 - x = √7921 = 89
⇒ x = 100 - 89 = 11