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Beth and Jim each received a salary increase. If Jim's

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Beth and Jim each received a salary increase. If Jim's [#permalink] New post 07 Jun 2009, 18:43
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Beth and Jim each received a salary increase. If Jim's salary was increased by the same percent as Beth's salary, did Beth receive a greater dollar increase in salary than Jim?
1) Before the increases, Jim's salary was greater than $25,000.
2) Before the increases, Jim's salary was 4/5 of Beth's salary.

[spoiler]OA:B, please explain why.[/spoiler]
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Re: GMATPrep: Salary Increases [#permalink] New post 07 Jun 2009, 22:44
The answer is B.

First it is a 'Yes/No' question. We are not looking for an exact value.

Lets look at:
1) Before the increases, Jim's salary was greater than $25,000.
It does not provide any information about Beth's salary. Not Sufficient.

Now lets look at:
2) Before the increases, Jim's salary was 4/5 of Beth's salary.
It tells you a relationship between the two salaries.
Jim's salary = (4/5) x Beth's Salary
Lets assume if Beth's salary is 100 then Jim's salary is (4/5)*100 = 80
The question also tells us that both received the same percentage increase in salary.
Lets say they both received a 10% raise that would mean Beth received a raise of 10 and Jim received a raise of 8 dollars.
The question asks us who received a greater increase in salary. From above it is clear Beth did.

Hence Statement 2 is sufficient.

Conceptually...Stmt 2 tells us Beth's salary is greater than Jim's salary. If you increase two numbers (one larger than the other) by the same percent then the larger number will see a greater increase then the smaller number.
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Re: GMATPrep: Salary Increases [#permalink] New post 07 Jun 2009, 23:47
I3igDmsu wrote:
Beth and Jim each received a salary increase. If Jim's salary was increased by the same percent as Beth's salary, did Beth receive a greater dollar increase in salary than Jim?
1) Before the increases, Jim's salary was greater than $25,000.
2) Before the increases, Jim's salary was 4/5 of Beth's salary.

[spoiler]OA:B, please explain why.[/spoiler]


1) no info on Beth, insuff

2) you dont have to do any calculation here. you know that Beths salary was already bigger than Jims because Jims salary was 4/5 Beths. They percent of the raises were the same so x% of the bigger salary will yeild more dollars than x% of the smaller number
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Re: GMATPrep: Salary Increases [#permalink] New post 08 Jun 2009, 00:15
IMO B.

from the second statement its clear that Jims salary is less than Beth salary.

whatever be the percentage, as long as they are equal, the above statement stays the same and also, increases.

J < S.

hence x%S is always greater than x%J.
Re: GMATPrep: Salary Increases   [#permalink] 08 Jun 2009, 00:15
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