Armed Forces Classification Test (AFCT) Arithmetic Reasoning Practice Test

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Improve your arithmetic reasoning skills for the Armed Forces Classification Test. Prepare with a variety of questions and detailed explanations to ace your exam!

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What was the population of a small town in Texas in 1985 if the population increased by 5% to 210 in 1990?

The correct answer is: 200

To find the population of the small town in Texas in 1985, start with the information that in 1990 the population was 210 after a 5% increase from the previous population in 1985. Let the population in 1985 be represented as $ P $. According to the information given, after a 5% increase, the population in 1990 can be expressed mathematically as: \[ P + 0.05P = 210 \] This can be simplified to: \[ 1.05P = 210 \] To solve for $ P $, divide both sides of the equation by 1.05: \[ P = \frac{210}{1.05} \] Calculating that gives: \[ P = 200 \] Thus, the population of the small town in Texas in 1985 was 200. This calculation illustrates how to reverse the percentage increase to find the original amount, showing an understanding of percentage changes and their reversibility.