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Suppose the income tax schedule in Australia is:IncomeTax on this income0-$20,000None$20,000 and above30 cents per dollar of income over $20,000 Your income in 2022 was $30,000. Inflation between 2022 and 2023 is 10% and your pre-tax income rises between 2022 and 2023 at the inflation rate.Group of answer choicesYour after-tax income increases by less than 10%Your after-tax income is unchanged.Your after-tax income increases by 10%Your after-tax income increases by more than 10%

Question

Suppose the income tax schedule in Australia is:IncomeTax on this income0-20,000None20,000None20,000 and above30 cents per dollar of income over 20,000 Yourincomein2022was20,000 Your income in 2022 was 30,000. Inflation between 2022 and 2023 is 10% and your pre-tax income rises between 2022 and 2023 at the inflation rate.Group of answer choicesYour after-tax income increases by less than 10%Your after-tax income is unchanged.Your after-tax income increases by 10%Your after-tax income increases by more than 10%

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Solution

Your after-tax income increases by less than 10%.

Here's why:

  1. In 2022, your income was 30,000.Thefirst30,000. The first 20,000 is tax-free, and the remaining 10,000istaxedat3010,000 is taxed at 30%. So, your tax in 2022 is 10,000 * 0.30 = 3,000.Youraftertaxincomein2022is3,000. Your after-tax income in 2022 is 30,000 - 3,000=3,000 = 27,000.

  2. In 2023, your pre-tax income rises at the inflation rate of 10%. So, your income in 2023 is 30,0001.10=30,000 * 1.10 = 33,000.

  3. Again, the first 20,000istaxfree,andtheremaining20,000 is tax-free, and the remaining 13,000 is taxed at 30%. So, your tax in 2023 is 13,0000.30=13,000 * 0.30 = 3,900. Your after-tax income in 2023 is 33,00033,000 - 3,900 = $29,100.

  4. The increase in your after-tax income from 2022 to 2023 is 29,10029,100 - 27,000 = 2,100.Thisisapercentageincreaseof2,100. This is a percentage increase of 2,100 / $27,000 * 100% = 7.78%, which is less than 10%.

This problem has been solved

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