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# Joan paid \$100 tax. If X was her income, which of the following statem

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Math Expert
Joined: 02 Sep 2009
Posts: 58347
Joan paid \$100 tax. If X was her income, which of the following statem  [#permalink]

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24 Oct 2017, 01:29
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Difficulty:

55% (hard)

Question Stats:

56% (01:23) correct 44% (01:28) wrong based on 97 sessions

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Joan paid \$100 tax. If X was her income, which of the following statements is true?

(A) 0 < X < 4,000
(B) 4,000 < X < 6,000
(C) 6,000 < X < 8,000
(D) 8,000 < X < 10,000
(E) 10,000 < X < 15,000

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Joined: 05 Dec 2016
Posts: 236
Concentration: Strategy, Finance
GMAT 1: 620 Q46 V29
Re: Joan paid \$100 tax. If X was her income, which of the following statem  [#permalink]

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24 Oct 2017, 05:41
If Joan paid 100\$, then he must have earned a bit less than ~6700\$.
80\$+0,03*~700=100\$
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Re: Joan paid \$100 tax. If X was her income, which of the following statem  [#permalink]

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26 Oct 2017, 15:45
Bunuel wrote:

Joan paid \$100 tax. If X was her income, which of the following statements is true?

(A) 0 < X < 4,000
(B) 4,000 < X < 6,000
(C) 6,000 < X < 8,000
(D) 8,000 < X < 10,000
(E) 10,000 < X < 15,000

We see that Joan could not have made more than 8,000 dollars since she would have to pay more than 140 dollars in taxes.

Let’s check what she would owe if she made 7,000 dollars:

80 + 0.03(7,000) = 80 + 21 = 101

We see that Joan must have made a touch under 7,000 dollars, so 6,000 < X < 8,000.

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Re: Joan paid \$100 tax. If X was her income, which of the following statem  [#permalink]

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01 Nov 2018, 03:46
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Re: Joan paid \$100 tax. If X was her income, which of the following statem   [#permalink] 01 Nov 2018, 03:46
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