Question : The marked price of a computer is Rs. 10000. Selling price of the computer is Rs. 7650. If two successive discounts of 15 percent and x percent are given, then what is the value of x?
Option 1: 5 percent
Option 2: 15 percent
Option 3: 10 percent
Option 4: 20 percent
Correct Answer: 10 percent
Solution :
The marked price of a computer is Rs. 10000.
The selling price of the computer is Rs. 7650.
According to the question,
For two successive discounts selling price = $\frac{100-\text{Discount}_1\%}{100}× \frac{100-\text{Discount}_2\%}{100}×$ marked price
$10000×\frac{85}{100}×\frac{100-x}{100}=7650$
$⇒100-x=90$
$\therefore x =10\%$
Hence, the correct answer is 10 percent.
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