Question

the shop price of a laptop computer was \\$640.
after a discount of 25\\%, the price was still 20\\% more than its factory price.
what was the factory price of the laptop computer?

\\$480
\\$460
\\$400
\\$384

Explanation:

Calculate the discounted price

$$ \text{Discounted Price} = 640 \times (1 - 0.25) = 640 \times 0.75 = 480 $$

Set up the factory price equation

$$ \text{Discounted Price} = 1.20 \times \text{Factory Price} $$

$$ 480 = 1.20 \times F $$

Solve for the factory price

$$ F = \frac{480}{1.20} = 400 $$

Answer:

• (A) $480
• (B) $460
• (C) $400 (Correct answer)
• (D) $384