AMC 10 Step by Step
2001 AMC 10Problem 9P1-10~3 minPrint

The state income tax where Kristin lives is charged at the rate of p%p\% of the first $28000\$28000 of annual income plus (p+2)%(p + 2)\% of any amount above $28000\$28000 . Kristin noticed that the state income tax she paid amounted to (p+0.25)%(p + 0.25)\% of her annual income. What was her annual income?

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Problem © Mathematical Association of America (MAA), American Mathematics Competitions. Reproduced for non-commercial educational use. Solution and commentary are original to this site. Also appeared as 2001 12 #3.