Boomtown urban planners expect the city’s population to increase by 10% per year over the next two years. If that projection were to come true, the population two years from now would be exactly double the population of one year ago. Which of the following is closest to the percent population increase in Boomtown over the last year?
Correct answer: D
Explanation
Population now - 100;
Population one year from now - 110;
Population two years from now - 121;
Since the population two years from now (121) is exactly double the population one year ago then the population one year ago was 121/2=60.5.
Now, the question asks about the population increase over the last year, so from 60.5 (last year) to 100 (now): percent increase=difference/original*100=(100-60.5)/60.5*100=39.5/60.5*100=~2/3*100=~65%.
D.
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