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Word Problem (Pay Rate)

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Word Problem (Pay Rate)

by relaxin99 » Mon Feb 23, 2009 1:24 pm
Alices take home pay last year was the same each month, and she saved the same fraction of her take-home pay each month. The total amount of money that she had saved at the end of the year was 3 times the amount of that portion of her monthly take home pay that she did not save. If all the oney that she saved last year was from her take-home pay, what fraction of her take-home pay did she save each month?

1/2
1/3
1/4
1/5
1/6
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by anniev2 » Mon Feb 23, 2009 1:27 pm
What resource is this question from?
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by truplayer256 » Mon Feb 23, 2009 1:39 pm
Is the answer 1/5?

x=Monthly take-home pay
y= the take-home monthly pay that she saves
The amount of take-home monthly pay she saves in a year=12y
The amount of monthly pay that she doesn't save= x-y
12y=3(x-y)
12y=3x-3y
15y=3x
5y=x
y/5y=1/5
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by x2suresh » Mon Feb 23, 2009 7:31 pm
truplayer256 wrote:Is the answer 1/5?

x=Monthly take-home pay
y= the take-home monthly pay that she saves
The amount of take-home monthly pay she saves in a year=12y
The amount of monthly pay that she doesn't save= x-y
12y=3(x-y)
12y=3x-3y
15y=3x
5y=x
y/5y=1/5
agreed
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by welcome » Mon Feb 23, 2009 7:36 pm
Saved portion = S
Unsaved portion = U

12S=3U => 4S=U

SO S/(S+U) = S/(S+4S) => 1/5 - Answer
Shubham.
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by kanha81 » Mon Apr 20, 2009 10:31 am
welcome wrote:Saved portion = S
Unsaved portion = U

12S=3U => 4S=U

SO S/(S+U) = S/(S+4S) => 1/5 - Answer
This is quite awesome :D
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Always do what you're afraid to do. Whoooop GMAT
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