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

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Manager
Joined: 31 Jul 2006
Posts: 232
Alice's take home pay last year was the same each month, and [#permalink]

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10 Oct 2008, 23:22
00:00

Difficulty:

(N/A)

Question Stats:

50% (02:04) correct 50% (01:11) wrong based on 2 sessions

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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

OPEN DISCUSSION OF THIS QUESTION IS HERE: http://gmatclub.com/forum/alice-s-take- ... 91893.html
Senior Manager
Joined: 21 Apr 2008
Posts: 269
Location: Motortown
Re: Alice's take home pay last year was the same each month, and [#permalink]

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11 Oct 2008, 06:33
D - 1/5

S: savins each month
M - monthly pay

12S = 3(M-S)
5S = M
S = M/5
Manager
Joined: 31 Jul 2006
Posts: 232
Re: Alice's take home pay last year was the same each month, and [#permalink]

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12 Oct 2008, 20:04
Yep. OA is 1. sorry, posted it too early
SVP
Joined: 17 Jun 2008
Posts: 1529
Re: Alice's take home pay last year was the same each month, and [#permalink]

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12 Oct 2008, 22:41
Yep. OA is 1. sorry, posted it too early

Did you mean the OA is 1/5 or A?
Manager
Joined: 31 Jul 2006
Posts: 232
Re: Alice's take home pay last year was the same each month, and [#permalink]

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13 Oct 2008, 02:25
oa is 1/5. sorry for the confusion.
Intern
Joined: 09 Mar 2010
Posts: 1
Re: Alice's take home pay last year was the same each month, and [#permalink]

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13 Apr 2010, 09:18
does anyone other than me thinks this question is strange? it took me quite a while to get there... and still now not that sure about my confidence level for such questions.. may be because of the fractions

In what level would this question be? 500? 600? 650?
Director
Status: No dream is too large, no dreamer is too small
Joined: 14 Jul 2010
Posts: 594
Re: Alice's take home pay last year was the same each month, and [#permalink]

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18 Apr 2011, 09:15
Is it problem if I don't assume monthly payment [as saving is said in fraction so payment is one]
such as:
saving is x fraction
so, total saving of the year 12x
according to the condition 12x = 3(1-x)
12x = 3-3x
12x+3x= 3
15x = 3
x = 3/15 = 1/5 or D ans.
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Math Expert
Joined: 02 Sep 2009
Posts: 43887
Re: Alice's take home pay last year was the same each month, and [#permalink]

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16 Aug 2017, 22:36
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

Let Alice's monthly take-home pay be $$p$$ and her monthly savings be $$s$$. Total savings will be $$12s$$ and we know that this is 3 times the amount she spends in month which is: $$p-s$$. So we have:

$$12s=3(p-s)$$ --> $$s=p\frac{1}{5}$$

OPEN DISCUSSION OF THIS QUESTION IS HERE: http://gmatclub.com/forum/alice-s-take- ... 91893.html
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Re: Alice's take home pay last year was the same each month, and   [#permalink] 16 Aug 2017, 22:36
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