On the marked price of an article,the sum of selling prices with a discount of 35% and two successive discounts of 20% and 15%, is Rs. 1,995.The marked price of the article(in Rs) is:
Show answer & explanation
Correct answer: C
Explanation
The correct answer is Option 3 i.e. 1,500.
Selling price = [(Discount)/Marked price] × 100
Or Selling price = [(100 - Discount percent)/100] × Marked price
Now, according to the question
Let the marked price be 100y
[{(100 - 35)/100}y × 100y] + [{(100 - 20)/100} × {(100 - 15)/100} × 100y] = 1995
⇒ 65y + [(80 × 85)/100]y = 1995
⇒ 65y + 68y = 1995
⇒ 133y = 1995
⇒ y = 15
Then,
⇒ 100y = 1500
Hence,
The marked price of the article is Rs. 1500