A state legislator drafts an income tax proposal that imposes a tax of $20\%$ on the first $\$100,000$ of an individ

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A state legislator drafts an income tax proposal that imposes a tax of $20\%$ on the first $\$100,000$ of an individual’s income, increases the tax to $25\%$ on the next $\$50,000$ in income and increases the tax by an additional $5\%$ on each additional $\$50,000$ in income, to a maximum tax of $40\%$ on the portion of income over $\$250,000.$ Under the proposal, would the state collect an average (arithmetic mean) of more than $30\%$ of the income of the residents of County $X?$

(1) The median income for a resident of County $X$ is $\$65,000.$
(2) No resident of County $X$ earns an income of more than $\$350,000.$

Answer: B

Source: Princeton Review

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