The marked price of an article is Rs 1,000. After two successive discounts, it is sold for Rs 600. If the first discount is x%, and the second discount is 25%, then what is the value of x?
Show answer & explanation
Correct answer: D
Explanation
The correct answer is option 4 i.e. 20%.
Marked Price of the article = Rs.1000
Selling Price of the article = Rs.600
First discount = y%
Second discount = 25%
Selling Price of the article after the 1st discount = 1000 × (100 - y)/100 = 10 × (100 - y)
Selling Price of the article after the 2nd discount = 10 × (100 - y) × (100 - 25)/100
⇒ 10 × (100 - y) × 75/100 = 600
⇒ (100 - y) = 600 × 100/75 × 1/10
⇒ (100 - y) = 80
⇒ y = 20