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MATH / Dr. Jones lives in a country with a progressive tax system. That is, he does not…

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problem

Dr. Jones lives in a country with a progressive tax system. That is, he does not pay any taxes on the first $20,000\$20{,}000 in income he makes, he pays 5%5\% taxes on the next $25,000\$25{,}000, he pays 10%10\% taxes on the next $35,000\$35{,}000, he pays 15%15\% on the next $50,000\$50{,}000, and he pays 20%20\% on every additional dollar onwards. If Dr. Jones pays $10,000\$10{,}000 in taxes, then how much income does he make?
Plain-text mathematical notation (without MathML)
Dr. Jones lives in a country with a progressive tax system. That is, he does not pay any taxes on the first $20,000 in income he makes, he pays 5% taxes on the next $25,000, he pays 10% taxes on the next $35,000, he pays 15% on the next $50,000, and he pays 20% on every additional dollar onwards. If Dr. Jones pays $10,000 in taxes, then how much income does he make?
Original LaTeX notation
Dr. Jones lives in a country with a progressive tax system. That is, he does not pay any taxes on the first $\$20{,}000$ in income he makes, he pays $5\%$ taxes on the next $\$25{,}000$, he pays $10\%$ taxes on the next $\$35{,}000$, he pays $15\%$ on the next $\$50{,}000$, and he pays $20\%$ on every additional dollar onwards. If Dr. Jones pays $\$10{,}000$ in taxes, then how much income does he make?

level

Level 5

type

Algebra

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Source and history

task_id
392870dd-8454-557b-bf9a-c82bcdd17408
task_key
algebra--test--392870dd-8454-557b-bf9a-c82bcdd17408
task_revision_id
1
config / split
algebra / test

Official source

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