Question
8) Norbu buys a laptop on sale for \( \$ 451 \). This price is after a discount of \( 18 \% \). What is the original price of the laptop?
Ask by Paul Flynn. in the United States
Mar 09,2025
Upstudy AI Solution
Tutor-Verified Answer
Answer
The original price of the laptop is \$550.
Solution
1. Let the original price be \( x \).
2. Since the laptop is sold at an 18% discount, Norbu paid \( 100\% - 18\% = 82\% \) of the original price. This means:
\[
0.82x = 451
\]
3. To find \( x \), divide both sides of the equation by \( 0.82 \):
\[
x = \frac{451}{0.82}
\]
4. Calculating the division:
\[
x = 550
\]
Thus, the original price of the laptop is \( \$550 \).
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Simplify this solution Mind Expander
To find the original price of the laptop, we can use the formula for calculating the original price after a discount. If the sale price (after discount) is given, we can represent the original price as \( P \). The relationship can be expressed as: \[ \text{Sale Price} = \text{Original Price} \times (1 - \text{Discount Rate}) \] Here, the sale price is \( \$451\) and the discount rate is \( 18\% \) or \( 0.18 \). Thus, we have: \[ 451 = P \times (1 - 0.18) \] \[ 451 = P \times 0.82 \] Now, we solve for \( P \): \[ P = \frac{451}{0.82} \approx 550 \] So the original price of the laptop was approximately \( \$550 \)!
