MathDB
Selling Dresses

Source:

February 6, 2009
ratio

Problem Statement

A merchant placed on display some dresses, each with a marked price. He then posted a sign “13 \frac{1}{3} off on these dresses.” The cost of the dresses was 34 \frac{3}{4} of the price at which he actually sold them. Then the ratio of the cost to the marked price was: <spanclass=latexbold>(A)</span> 12<spanclass=latexbold>(B)</span> 13<spanclass=latexbold>(C)</span> 14<spanclass=latexbold>(D)</span> 23<spanclass=latexbold>(E)</span> 34 <span class='latex-bold'>(A)</span>\ \frac{1}{2} \qquad <span class='latex-bold'>(B)</span>\ \frac{1}{3} \qquad <span class='latex-bold'>(C)</span>\ \frac{1}{4} \qquad <span class='latex-bold'>(D)</span>\ \frac{2}{3} \qquad <span class='latex-bold'>(E)</span>\ \frac{3}{4}