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# After paying a 10 percent tax on all income over \$3,000, a

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Intern
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After paying a 10 percent tax on all income over \$3,000, a [#permalink]

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02 May 2012, 21:41
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45% (medium)

Question Stats:

73% (01:29) correct 27% (01:49) wrong based on 170 sessions

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After paying a 10 percent tax on all income over \$3,000, a person had a net income of \$12,000. What was the income before taxes?

A. \$13,300
B. \$13,000
C. \$12,900
D. \$10,000
E. \$9,000

12000=3000+(x-3000)10%
where x is actual income without taxes...

but i dont find any ans over here....
[Reveal] Spoiler: OA

Kudos [?]: 3 [1], given: 8

Intern
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Re: After paying a 10 percent tax on all income over \$3,000, a [#permalink]

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03 May 2012, 08:35
4
KUDOS
giri903 wrote:
After paying a 10 percent tax on all income over \$3,000, a person had a net income of \$12,000. What was the income before taxes?

A. \$13,300
B. \$13,000
C. \$12,900
D. \$10,000
E. \$9,000

12000=3000+(x-3000)10%
where x is actual income without taxes...

but i dont find any ans over here....

simple way to solve the problem

as for first 3000\$ there is no tax, so the amount given after deducting 10% tax is 12000\$(9000+3000) that means it also incl 3000\$ so after deducting that 3000 from 1200 leaves 9000 which is 90% of the taxable income so the equation looks like this

for 90% 9000
for 100 % 10000

therefore the total taxable income is 10000\$ and income before deducting tax is 10000\$+3000\$=13000\$

Hope it short and clear

if satisfied give me +1 kudos.

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02 May 2012, 21:47
2
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Let x be the income over 3000
Then (x-x/10) + 3000 = 12000
=> x = 10000

Therefore income before taxes = 10000 + 3000 = 13000

Option (B)
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Re: After paying a 10 percent tax on all income over \$3,000, a [#permalink]

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03 May 2012, 00:43
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Expert's post
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This post was
BOOKMARKED
giri903 wrote:
After paying a 10 percent tax on all income over \$3,000, a person had a net income of \$12,000. What was the income before taxes?

A. \$13,300
B. \$13,000
C. \$12,900
D. \$10,000
E. \$9,000

12000=3000+(x-3000)10%
where x is actual income without taxes...

but i dont find any ans over here....

Say x is the income before taxes (as you denoted), then equation should be: 3,000+(x-3,000)*0.9=12,000 --> x=13,000.

Hope it's clear.
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Re: After paying a 10 percent tax on all income over \$3,000, a [#permalink]

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24 Sep 2014, 22:51
1
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Expert's post
giri903 wrote:
After paying a 10 percent tax on all income over \$3,000, a person had a net income of \$12,000. What was the income before taxes?

A. \$13,300
B. \$13,000
C. \$12,900
D. \$10,000
E. \$9,000

12000=3000+(x-3000)10%
where x is actual income without taxes...

but i dont find any ans over here....

Using options works wonderfully well too because of the good round numbers. You know that net income was 12000 so gross must be more. Hence (D) and (E) are definitely out.

Also, first 3000 is non-taxable so say the gross income is 13,000 (easiest of the options). Taxable income becomes 10000, 10% of which is 1000 (the amount of tax).
This gives us net income of 12000, as expected. So answer is 13,000.

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Re: After paying a 10 percent tax on all income over \$3,000, a [#permalink]

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03 May 2012, 01:07
Thanks a ton...i understood what mistake i have done...

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Re: After paying a 10 percent tax on all income over \$3,000, a [#permalink]

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28 Feb 2013, 23:29
3000 + x - 10x/100 = 12000
Solving this, we get ans = B (10000)
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Re: After paying a 10 percent tax on all income over \$3,000, a [#permalink]

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18 Aug 2016, 04:30
awesome Question
Here is my approach =>
Let the original income over 3k be x
hence total income after deduction => 3k+x[1-10/100] =12k
hence x= 10k
so the total orginal income => 3k+10k = 13k
SMASH that B
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Re: After paying a 10 percent tax on all income over \$3,000, a [#permalink]

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18 Aug 2016, 06:00
Let x be the income above 3,000 usd.
0,9x=12,000-3,000
0,9x=9,000
x=10,000

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Re: After paying a 10 percent tax on all income over \$3,000, a [#permalink]

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20 Nov 2017, 00:57
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Re: After paying a 10 percent tax on all income over \$3,000, a [#permalink]

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22 Nov 2017, 12:21
giri903 wrote:
After paying a 10 percent tax on all income over \$3,000, a person had a net income of \$12,000. What was the income before taxes?

A. \$13,300
B. \$13,000
C. \$12,900
D. \$10,000
E. \$9,000

We can let the initial income = n and thus:

12,000 = n - 0.1(n - 3,000)

12,000 = n - 0.1n + 300

11,700 = 0.9n

117,000 = 9n

n = 117,000/9 = 13,000

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Re: After paying a 10 percent tax on all income over \$3,000, a   [#permalink] 22 Nov 2017, 12:21
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