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Greta’s salary was x thousand dollars per year, then she rec

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GMAT Club Legend
GMAT Club Legend
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Joined: 07 Jun 2014
Posts: 4749
GRE 1: Q167 V156
WE: Business Development (Energy and Utilities)
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Greta’s salary was x thousand dollars per year, then she rec [#permalink] New post 10 Jun 2018, 03:52
Expert's post
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Question Stats:

36% (00:42) correct 63% (01:37) wrong based on 11 sessions
Greta’s salary was \(x\) thousand dollars per year, then she received a \(y%\) raise. Annika’s salary was \(y\) thousand dollars per year, then she received an \(x%\) raise. \(x\) and \(y\) are positive integers.

Quantity A
Quantity B
The dollar amount of Greta’s raise
The dollar amount of Annika’s raise


A)The quantity in Column A is greater.
B)The quantity in Column B is greater.
C)The two quantities are equal.
D)The relationship cannot be determined from the information given.
[Reveal] Spoiler: OA

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Sandy
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GMAT Club Legend
GMAT Club Legend
User avatar
Joined: 07 Jun 2014
Posts: 4749
GRE 1: Q167 V156
WE: Business Development (Energy and Utilities)
Followers: 93

Kudos [?]: 1650 [0], given: 396

CAT Tests
Re: Greta’s salary was x thousand dollars per year, then she rec [#permalink] New post 13 Jun 2018, 16:32
Expert's post
Explanation

Because the problem never indicates real values, pick your own smart numbers. If x = 100 and y = 50, then:


Greta’s salary was $100,000 and she received a 50% raise. Greta’s raise, therefore, was $50,000.

Annika’s salary was $50,000 and she received a 100% raise. Annika’s raise, therefore, was $50,000.

The two quantities are equal. This holds true for any positive numbers chosen for x and y, because x percent of y = y percent of x. Thus, any two numbers can be used—just as 50% of 100 = 100% of 50, it is also true that 1% of 2,000 = 2,000% of 1, or a% of b = b% of a.

Hence option C
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Re: Greta’s salary was x thousand dollars per year, then she rec [#permalink] New post 13 Jun 2018, 17:50
x, y >= 1, integer
Quantity A = xy%
Quantity B = yx%
--> A = B

Keys: C
Re: Greta’s salary was x thousand dollars per year, then she rec   [#permalink] 13 Jun 2018, 17:50
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Greta’s salary was x thousand dollars per year, then she rec

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