Question : The marked price of a laptop is Rs. 12000. In a clearance sale, it is sold at a discount of 15%, incurring a loss of 4%. What is the cost price of the laptop?
Option 1: Rs. 10200
Option 2: Rs. 10625
Option 3: Rs. 11200
Option 4: Rs. 10275
Correct Answer: Rs. 10625
Solution :
Here, the marked price of a laptop = Rs. 12000
Cost price of the laptop = Rs. $y$
According to the question,
(100 – 4)% of $y$ = (100 – 15)% of 12000
⇒ $y × \frac{96}{100}=\frac{85}{100}×12000=120×85$
⇒ $y = \frac{120×85×100}{96}$
$\therefore y = 10625$
Hence, the correct answer is Rs. 10625.
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