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Alice's take-home pay last year was the same each month, and

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Manager
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Alice's take-home pay last year was the same each month, and [#permalink] New post 30 Apr 2008, 00:53
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Alice's 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 money that she saved last year was from her take-home pay, what fraction of her take-home pay did she save each month?
A)1/2
B)1/3
C)1/4
D)1/5
E)1/6
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Re: GMAT PREP word sentence problem [#permalink] New post 30 Apr 2008, 15:36
Please explain the process!!
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Re: GMAT PREP word sentence problem [#permalink] New post 30 Apr 2008, 15:51
This type of problem can best be solved by plugging in numbers.

Eg: Let the pay be $5. In that case the saving is $1.(1/5*5=1) and the amt not saved /month is $4.
Amt saved per year=1*12=12 which must be equal to three times the amt not saved in the month

3times the amt not saved in the month=4*3=12.

These two entities need to be equal as per question.Hence 1/5 satisfies this.So is the answer.
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Re: GMAT PREP word sentence problem [#permalink] New post 30 Apr 2008, 18:29
this is how i approached.

P = alice's monthly pay
S = alice's monthly saving

12S = total alice saved last year
P-S = money she did not save each month

12S = 3(P-S)
12S = 3P-3S
15S = 3P
5S = P
S = 1/5P
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Re: GMAT PREP word sentence problem [#permalink] New post 01 May 2008, 04:50
japped187 wrote:
Alice's 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 money that she saved last year was from her take-home pay, what fraction of her take-home pay did she save each month?
A)1/2
B)1/3
C)1/4
D)1/5
E)1/6


x= monthly pay.

xy/100 = savings per month.

12xy/100= 3(x-xy/100) (12xy/100)/(12x)=?

12xy/100=(300x-3xy)/100 --> 12xy=300x-3xy 15xy=300x y=300/15 y=20...

(12x*20/100)/12x ---> 20/100--> 1/5

D.
Re: GMAT PREP word sentence problem   [#permalink] 01 May 2008, 04:50
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