ExplanationUse a smart number for the price of the stock; for a percent problem, $100 is a good choice.

The price of the stock after a 25% increase is (1.25) × $100 = $125.

Next, find the percent decrease (y) needed to reduce the price back to the original $100. Because $125 – $25 = $100, rephrase the question: 25 is what percent of 125?

\(25=\frac{x}{100}125\)

\(x=20\)

You have to reduce 125 by 20% in order to get back to $100. Therefore, Quantity A is 20%, so Quantity B is greater.

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Sandy

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