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Kaden’s salary last year was $125,000. If his salary is cut between x%

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Kaden’s salary last year was $125,000. If his salary is cut between x% [#permalink]

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New post 03 Aug 2017, 13:33
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Question Stats:

52% (00:50) correct 48% (00:35) wrong based on 60 sessions

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Kaden’s salary last year was $125,000. If his salary is cut
between x% and y%, then his new annual salary will be
between:

(A) $125, 000(1 − x) and $125, 000(1 − y)
(B) $125, 000x and $125, 000y
(C) $125, 000 − x and $125, 000 − y
(D) $1, 250(1 − x) and $1, 250(1 − y)
(E) $1, 250(100 − x) and $1, 250(100 − y)


__________________________________
So, I thought that:

x% = 100*x (Example: 5% = 100*0.05)

If that's true, then:
x = (x%/100)

And if that's true, you can plug in x into Answer A to get the correct range.

However, they didn't do it like that.... Is the answer wrong?
[Reveal] Spoiler: OA
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Kaden’s salary last year was $125,000. If his salary is cut between x% [#permalink]

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New post 03 Aug 2017, 18:21
Assume Kaden's salary($125000) is cut between x(10%) and y(20%)

We know that 10% of the salary is 12500 and 20% is 25000.
So, the new salary will be between $100000 and $112500.

From the answer options given,
$1, 250(100 − x) or 1250(100 - 10) = 112500
and $1, 250(100 − y) or 1250(100 - 20) = 100000
which is Option E gives us the same range for the new salary & is our correct answer!

Hope that helps!
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Re: Kaden’s salary last year was $125,000. If his salary is cut between x% [#permalink]

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New post 03 Aug 2017, 20:12
125000(1-x%). And 125000(1-y%)
=1250(100-x). =1250(100-y)
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Re: Kaden’s salary last year was $125,000. If his salary is cut between x% [#permalink]

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New post 03 Aug 2017, 20:13
The mistake in your explanation is :
X%*100=x
Re: Kaden’s salary last year was $125,000. If his salary is cut between x%   [#permalink] 03 Aug 2017, 20:13
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