Practice Percent Change in Math

Use these practice problems to test your method after reviewing the concept explanation and worked examples.

Quick Recap

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

If a price goes from \50 to \60, the change is \10. Compared to the original \50, that's \frac{10}{50} = 20\% increase.

Example 1

easy
A jacket originally costs \60 and is on sale for \45. What is the percent decrease?

Example 2

medium
A town's population grew from 12{,}000 to 15{,}000. What is the percent increase?

Example 3

hard
A stock price rises by 20\% one year and falls by 20\% the next year. If it started at \100$, what is the final price and the overall percent change?

Example 4

easy
A shirt's price increases from \25 to \30. What is the percent increase?

Example 5

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