Question : The Marked price of a TV is Rs. 16,000. After two successive discounts, it is sold for Rs. 11,400. If the first discount is 5%, then the rate of the second discount is:
Option 1: 15%
Option 2: 20%
Option 3: 30%
Option 4: 25%
Correct Answer: 25%
Solution :
The marked price of a TV = Rs. 16,000
Selling price of a TV = Rs. 11,400
First discount = 5%
Let the second discount be $x$%.
So, $11400 = \frac{(100-x)}{100}×\frac{95}{100}×16000$
⇒ $\frac{11400}{15200} = \frac{(100-x)}{100}$
⇒ $15200-152x = 11400$
$\therefore x = 25\%$
Hence, the correct answer is 25%.
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