MathDB
Shirt Price Magic

Source: 2019 AMC 8 #22

November 19, 2019

Problem Statement

A store increased the original price of a shirt by a certain percent and then decreased the new price by the same percent. Given that the resulting price was 84% of the original price, by what percent was the price increased and decreased?
<spanclass=latexbold>(A)</span>16<spanclass=latexbold>(B)</span>20<spanclass=latexbold>(C)</span>28<spanclass=latexbold>(D)</span>36<spanclass=latexbold>(E)</span>40<span class='latex-bold'>(A) </span>16\qquad<span class='latex-bold'>(B) </span>20\qquad<span class='latex-bold'>(C) </span>28\qquad<span class='latex-bold'>(D) </span>36\qquad<span class='latex-bold'>(E) </span>40