SAT Math · Percentages · easy

A town's population grew from 400 to 500 over one year. What was the percent growth rate?

A town's population grew from 400 to 500 over one year. What was the percent growth rate?

Answer and explanation

Answer: B: 25%

Percent growth is the change divided by the starting value. The change is 500−400=100500 - 400 = 100, and the starting value is 400, so 100400=0.25=25%\frac{100}{400} = 0.25 = 25\%, choice B. Choice A (20%) divides by the ending value, 100500\frac{100}{500}, which uses the wrong base. Choice C (100%) uses the change itself, 100, as the percent. Choice D (125%) is the ending value as a percent of the starting value, 500400\frac{500}{400}, which is the growth factor and includes the original 100%. Growth rate is measured against where the population started.

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