Question : The marked price of a pen is Rs. 5000. The shopkeeper gives two successive discounts of 15 percent and b percent to the customer. If the customer pays Rs. 4080 for the pen, then what is the value of b?
Option 1: 3 percent
Option 2: 5 percent
Option 3: 7.5 percent
Option 4: 4 percent
Correct Answer: 4 percent
Solution :
We know, For two successive discounts, Selling price = $\frac{100-\text{Discount}_1\%}{100}× \frac{100-\text{Discount}_2\%}{100}×$ marked price
$⇒4080=\frac{100-15}{100}×\frac{100-b}{100}×5000$
$⇒4080=\frac{17}{20}×\frac{100-b}{100}×5000$
$⇒24×4=(100-b)$
$\therefore b=4\%$
Hence, the correct answer is 4 percent.
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