MathDB
1997 AJHSME #16 - Relative Values of Stocks

Source:

June 30, 2011
AMC

Problem Statement

Penni Precisely buys $100\$100 worth of stock in each of three companies: Alabama Almonds, Boston Beans, and California Cauliflower. After one year, AA was up 20%20\%, BB was down 25%25\%, and CC was unchanged. For the second year, AA was down 20%20\% from the previous year, BB was up 25%25\% from the previous year, and CC was unchanged. If A, B, and C are the final values of the stock, then
<spanclass=latexbold>(A)</span> A=B=C<spanclass=latexbold>(B)</span> A=B<C<spanclass=latexbold>(C)</span> C<B=A<span class='latex-bold'>(A)</span>\ A=B=C \qquad <span class='latex-bold'>(B)</span>\ A=B<C \qquad <span class='latex-bold'>(C)</span>\ C<B=A
<spanclass=latexbold>(D)</span> A<B<C<spanclass=latexbold>(E)</span> B<A<C<span class='latex-bold'>(D)</span>\ A<B<C \qquad <span class='latex-bold'>(E)</span>\ B<A<C