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After paying a 10 percent tax on all income over $3,000, a

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After paying a 10 percent tax on all income over $3,000, a [#permalink] New post 10 Jul 2007, 15:31
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After paying a 10 percent tax on all income over $3,000, a person had a net income of $12,000. What was the income before taxes?
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 [#permalink] New post 10 Jul 2007, 15:41
setup the equation {3,000 + x(1-.10)=12,000} to find taxed amount

{3,000 + x(1-.10)=12,000}, subtract 3,000
x(1-.10)= 9,000, divide out .9

x= 10,000, this is the taxed amount

10,000 * .10 = 1,000

3,000 + 10,000 - 1,000= 12,000

answer is 13,000
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 [#permalink] New post 10 Jul 2007, 18:05
Let the person's income be x

Then taxable income = (x-3000)
Amount left after tax = 0.9(x-3000) + 3000 = 12000

0.9(x-3000) = 9000
x-3000 =10000
x = 13000
  [#permalink] 10 Jul 2007, 18:05
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After paying a 10 percent tax on all income over $3,000, a

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