Question : The marked price of an article is Rs. 530. After two successive discounts, it is sold for Rs. 396.44. If the first discount is 15%, and the second discount is $x$%, then what is the value of $x$?
Option 1: 10.5
Option 2: 10
Option 3: 12.5
Option 4: 12
Correct Answer: 12
Solution :
The marked price of the article is Rs. 530. After the first discount of 15%, the price becomes 85% of Rs. 530, which is 0.85 × 530 = Rs. 450.5.
Now, this price is further discounted by $x$% to give the final selling price of Rs. 396.44. $⇒450.5 \times (1 - \frac{x}{100}) = 396.44$
$⇒1 - \frac{x}{100}=\frac{22}{25}$
$⇒100-x=88$
$⇒x=12$
Hence, the correct answer is 12.
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