Percent Change Math Example 5

Follow the full solution, then compare it with the other examples linked below.

Example 5

medium
After a 15%15\% discount, a laptop costs \680$. What was the original price?

Solution

  1. 1
    A 15%15\% discount means the customer pays 85%85\% of the original: 0.85×x=6800.85 \times x = 680.
  2. 2
    Solve: x=6800.85=800x = \frac{680}{0.85} = 800.

Answer

$800\$800
To find the original price from a discounted price, divide by (1−discount rate)(1 - \text{discount rate}). This reverses the percentage decrease.

About Percent Change

Percent change measures how much a quantity has increased or decreased relative to its original value, calculated as new−originaloriginal×100%\frac{\text{new} - \text{original}}{\text{original}} \times 100\%.

Learn more about Percent Change →

More Percent Change Examples

Example 1 easy

A jacket originally costs [formula]60[formula][formula]. What is the percent decrease?

Example 2 medium

A town's population grew from [formula] to [formula]. What is the percent increase?

Example 3 hard

A stock price rises by [formula] one year and falls by [formula] the next year. If it started at [fo

Example 4 easy

A shirt's price increases from [formula]25[formula][formula]. What is the percent increase?

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