Question : 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 INR 1,995. The marked price of the article (in INR) is:
Option 1: 1,550
Option 2: 1,800
Option 3: 1,500
Option 4: 1,600
Correct Answer: 1,500
Solution :
Let $x$ be the marked price.
First discount = 35%
The second discount = 20% and 15%
Selling price = (100 – 35)% of $x$ + (100 – 20)% of (100 – 15)% of $x$
⇒ 1995 = 65% of $x$ + 80% of 85% of $x$
⇒ 1995 = 0.65 × $x$ + 0.8 × 0.85 × $x$
⇒ 1995 = 1.33$x$
$\therefore x = \frac{1995}{1.33} = 1,500$
Hence, the correct answer is 1,500.
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