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# Percents: Percent Change

The price of stock decreased by 8% last year and rose by 10% this year. What is the net percentage change in the price of the stock?
Incorrect. [[snippet]]
Correct. [[snippet]] Plug in the initial price of the stock as $100. Based on this, last year's price after an initial 8% decrease can be calculated as follows: >$$\text{Last year's price} = 100 - 8\% \text{ of } 100 = 100 - 8 = 92$$. Now find this year's price after the 10% increase. Remember that the original price is now the new price, which means that the 10% is taken from$92. >$$\text{This year's price} = 92 + 10\% \text{ of } 92 = 92 + 9.2 = 101.2$$ >$$\displaystyle \text{Net percent change} = \frac{101.2 - 100}{100} \times 100 = 1.2%$$ Hence, this is the correct answer.
Incorrect. [[snippet]] Did you subtract the 8% decrease from the 10% increase ($$10\% - 8\% = 2\%$$) and apply a 2% increase to the initial price? Watch out! The 8% decrease is applied to the original price while the 10% increase is applied to last year's price.
Incorrect. [[snippet]]
Incorrect. [[snippet]]
0.2%
0.8%
1.2%
1.6%
2%