Question : An article is sold for Rs. 680 after two successive discounts of 20% and $x$% on its marked price. The marked price of the article is Rs. 1,000. What is the value of $x$?
Option 1: 15
Option 2: 15.5
Option 3: 12.5
Option 4: 16
Correct Answer: 15
Solution :
The article is first discounted by 20% from the marked price of Rs. 1,000.
So, the price after the first discount is 1000 – 0.20 × 1000 = Rs. 800
Let the second discount as $x$%. After the second discount, the price of the article is Rs. 680.
$⇒800 - 0.01x \times 800 = 680$
$⇒0.01x \times 800 = 800 - 680 = 120$
$⇒0.01x = \frac{120}{800} = 0.15$
$⇒x = 0.15 \times 100 = 15$
Hence, the correct answer is 15.
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