MathDB
Percent growth of town

Source: 2011 AMC A Problem 19

June 25, 2011
percentpercent increaseAMC

Problem Statement

In 19911991 the population of a town was a perfect square. Ten years later, after an increase of 150150 people, the population was 99 more than a perfect square. Now, in 20112011, with an increase of another 150150 people, the population is once again a perfect square. Which of the following is closest to the percent growth of the town's population during this twenty-year period?
<spanclass=latexbold>(A)</span> 42<spanclass=latexbold>(B)</span> 47<spanclass=latexbold>(C)</span> 52<spanclass=latexbold>(D)</span> 57<spanclass=latexbold>(E)</span> 62 <span class='latex-bold'>(A)</span>\ 42 \qquad<span class='latex-bold'>(B)</span>\ 47 \qquad<span class='latex-bold'>(C)</span>\ 52\qquad<span class='latex-bold'>(D)</span>\ 57\qquad<span class='latex-bold'>(E)</span>\ 62