Percentage of income taxed

einstein

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Sep 14, 2010
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Catherine earns $36,540 p.a. She is taxed in segments as follows: the first $5,000 of income is exempt of tax; income between $5,001 and $25,000 is taxed at 20%; income between $25,001 and $30,000 is taxed at 28%; and income over $30,001 is taxed at 36%. How much tax will she have to pay on her annual wage?

My working out:

20,000 * 0.2 = 4000
5,000 * .28 = 1400
6,540 * .36 = 2354.40

4000+1400+2354.40=7754.40

She has to pay $7754.40 in tax.

But the book says the answer is she has to pay: $5954.40

Where have i gone wrong? I feel stupid cause this seems like a simple question. But there's probably some twist.
 
Hello, einstein!

If the wording of the problem is accurate, your answer is correct.

 
Seems to be time to throw that book of yours in the fireplace!
 
Denis said:
Seems to be time to throw that book of yours in the fireplace!

haha im assuming you've seen some of my others posts where the book is wrong too :D

it's actually a really good book. (understandingmaths.com) of the first three books in the series i've been studying there have only been two or three wrong answers/types causing a wrong answer
 
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