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GRE Math Challenge #35-Ms. Smith got an 8 percent

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GRE Math Challenge #35-Ms. Smith got an 8 percent [#permalink] New post 19 Sep 2014, 03:21
Expert's post
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Question Stats:

52% (01:02) correct 47% (00:59) wrong based on 92 sessions
Ms. Smith got an 8 percent cost of living raise of $20 per week.

Column A: Ms. Smith's new weekly salary

Column B: $ 260

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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Re: GRE Math Challenge #35 [#permalink] New post 12 Apr 2015, 06:54
Expert's post
sandy wrote:
----------------------------------------
Ms. Smith got an 8 percent cost of living raise of $20 per week.

Column A: Ms. Smith's new weekly salary
Column B: $ 260

-----------------------------------------
Notice that $20 is equivalent to an 8% raise.
Let x = Ms. Smith's ORIGINAL earnings per week.
This means that 8% of x = 20
In other words, 0.08x = 20
So, x = 20/0.08
= 250
So, Ms. Smith's ORIGINALLY earned $250/week
With her $20 raise, her new weekly salary = $250 + $20 = $270
So, we have...

Column A: $270
Column B: $ 260

Answer:
[Reveal] Spoiler:
A


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Brent
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Brent Hanneson – Creator of greenlighttestprep.com
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Re: GRE Math Challenge #35-Ms. Smith got an 8 percent [#permalink] New post 11 Mar 2018, 06:17
sandy wrote:
Ms. Smith got an 8 percent cost of living raise of $20 per week.

Column A: Ms. Smith's new weekly salary

Column B: $ 260

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.


In this problem, we are asked to derive the NEW salary no OLd.

First, since the raise is $20 which is equal to 0.08 of old salary. 0.08*salary=20

OLD salary is 250. then the NEW salary is 270 (250+20).

Hence A>B
Re: GRE Math Challenge #35-Ms. Smith got an 8 percent   [#permalink] 11 Mar 2018, 06:17
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GRE Math Challenge #35-Ms. Smith got an 8 percent

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