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

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Alice's take-home pay last year was the same each month, and [#permalink] New post 02 Aug 2008, 07:06
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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: PS Alice's take home income [#permalink] New post 02 Aug 2008, 08:03
selvae wrote:
Answer is 1/5


cool, could you explain your answer pls?
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Re: PS Alice's take home income [#permalink] New post 02 Aug 2008, 18:01
Selvae, or anyone else, could you help? I still cannot get 1/5
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Re: PS Alice's take home income [#permalink] New post 02 Aug 2008, 18:28
judokan wrote:
Selvae, or anyone else, could you help? I still cannot get 1/5


Let us say her monthly pay was P and she saved S. At the end of the year total savings is 12*S.

Given 12*S = 3(P-S) total savings is 3 times monthly pay's unsaved part.

15*S=3P

S/P = 3/15= 1/5
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Re: PS Alice's take home income [#permalink] New post 02 Aug 2008, 19:58
judokan 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


Considr each month her take home is t,spent amt is c, saved amt is s
hence t=s+c
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.
this clearly says 12s=3c => 4s=c
=> t=4s+s=5s => s=1/5 * t => answer=1/5
IMO D
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Re: PS Alice's take home income [#permalink] New post 02 Aug 2008, 21:11
OA is 1/5.

Thanks all. nice one!
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Re: PS Alice's take home income [#permalink] New post 02 Aug 2008, 21:17
BTW, what's wrong with my calcluation?

Assume the amount she take-home is s
assume the amount she save is x
assume the amount she did not save is y

x + y =s
x = 3y
4y = s
y = s/4
x = 3s/4
Re: PS Alice's take home income   [#permalink] 02 Aug 2008, 21:17
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