MathDB
Kristin and her state income tax

Source: 2001 AMC-12 #3

December 3, 2005
AMC

Problem Statement

The state income tax where Kristin lives is levied at the rate of p% p \% of the first $28000 \$28000 of annual income plus (p \plus{} 2) \% of any amount above $28000 \$28000. Kristin noticed that the state income tax she paid amounted to (p \plus{} 0.25) \% of her annual income. What was her annual income? <spanclass=latexbold>(A)</span> $28000<spanclass=latexbold>(B)</span> $32000<spanclass=latexbold>(C)</span> $35000<spanclass=latexbold>(D)</span> $42000<spanclass=latexbold>(E)</span> $56000 <span class='latex-bold'>(A)</span> \ \$28000 \qquad <span class='latex-bold'>(B)</span> \ \$32000 \qquad <span class='latex-bold'>(C)</span> \ \$35000 \qquad <span class='latex-bold'>(D)</span> \ \$42000 \qquad <span class='latex-bold'>(E)</span> \ \$56000