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Consider the following income tax brackets.

Max's income is $25,000. Oscar pays twice as much income tax as Max. Find Oscar's effective tax rate.

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Max pays $10,000 x 0.1 + $15,000 x 0.25 = $4750 of income tax.

Oscar pays 2 x $4750 = $9500 of income tax. We are confident that Oscar's income is over $30,000. Denote Oscar's income by a.

The equation $10,000 x 0.1 + $20,000 x 0.25 + (a – $30,000) x 0.35 = $9500 has a solution a = $40,000.

Oscar's effective tax rate is $9500 / $40,000 = 0.2375 = 23.75%

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