Question : The marked price of a speaker is Rs. 1000. A man buys it at Rs. 873 after getting two successive discounts of 10% and $x\%$. What is the value of $x\%$?
Option 1: 5%
Option 2: 8%
Option 3: 4%
Option 4: 3%
Correct Answer: 3%
Solution :
Let the first discount as 10% and the second discount as \(x\%\).
After the first discount of 10%, the price of the speaker becomes 90% of the marked price = 0.9 × 1000 = Rs. 900
Given that the man buys it at Rs. 873 after the second discount.
$⇒ 900 × (1 - \frac{x}{100}) = 873$
$⇒ 100 × (1 - \frac{x}{100}) = 97$
$⇒ 100-x = 97$
$⇒ x = 3$
Hence, the correct answer is 3%.
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