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Last year Department Store X had a sales total for December

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Last year Department Store X had a sales total for December [#permalink] New post 03 Dec 2007, 17:11
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Last year Department Store X had a sales total for December that was 4 times the average (arithmetic mean) of the monthly sales totals for January through November. The sales total for December was what fraction of the sales total for the year?

A. 1/4
B. 4/15
C. 1/3
D. 4/11
E. 4/5
[Reveal] Spoiler: OA

Last edited by Bunuel on 13 Jan 2014, 05:58, edited 1 time in total.
Renamed the topic, edited the question, added the OA and moved to PS forum.
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Re: Need help solving [#permalink] New post 03 Dec 2007, 17:28
kamal101 wrote:
Last year Deparment Store x had a sales total for December that was 4 times the average (arithmetic mean) of the monthly sales totals for January through November. The sales total for December was what fraction of the sales total for the year?

A. 1/4
B. 4/15
C. 1/3
D. 4/11
E. 4/5


December Sales = D

Arithmetic mean for Jan thourgh Nov=X,
sales total for Jan-Nov = 11X
Sales total for the year =11X+D
December sales total =4X
D/(11X+D)?

=4x/(11x+4x)=4x/15x=4/15
B
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Re: Need help solving [#permalink] New post 03 Dec 2007, 21:54
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kamal101 wrote:
Last year Deparment Store x had a sales total for December that was 4 times the average (arithmetic mean) of the monthly sales totals for January through November. The sales total for December was what fraction of the sales total for the year?

A. 1/4
B. 4/15
C. 1/3
D. 4/11
E. 4/5


Let avg for 11 mos. = 10
Therefore, Dec = 40
Year total = 11*10 + 40 = 150

Answer = 40/150 = 4/15 = B
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Re: Need help solving [#permalink] New post 03 Dec 2007, 21:59
kamal101 wrote:
Last year Deparment Store x had a sales total for December that was 4 times the average (arithmetic mean) of the monthly sales totals for January through November. The sales total for December was what fraction of the sales total for the year?

A. 1/4
B. 4/15
C. 1/3
D. 4/11
E. 4/5


JtoN/11=x D/1=4x D=4x JtoN=11x

total sales: 4x+11x = 15x

so we want D/total sales ---> 4x/15x = 4/15

B
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Re: PS Department Sto' [#permalink] New post 30 Jan 2008, 14:54
sales for 11 months = 11*x/4, where x - sales for december.
total sales = x + 11*x/4 = 15x/4 -> x/total sales = 4/15 -> B
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Re: PS Department Sto' [#permalink] New post 30 Jan 2008, 17:43
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Perfect # pickin problem. Just pick a number. $100 a month for Jan--> Nov and $400 for Dec. 400/1500 = 4/15 B.
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Re: PS Department Sto' [#permalink] New post 30 Jan 2008, 18:53
4/15, but i for some reason took a long time to get this. i realized i didnt read the question properly the first time around. anyways:

d = 4*(x/11) where d=december sales and x=sales total for jan-nov

we are ultimately after d/x+d

so, rearranging the first eqn, we get x=11d/4. substitute this into number two:

d/(11d/4 + d) = d/((11d+4d)/4) = d/(15d/4) = 4d/15d = 4/15
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Re: PS Department Sto' [#permalink] New post 30 Jan 2008, 19:15
young_gun wrote:
here's easy pickin's:

Last year Department store X had a sales total for December that was 4 times the aver of the monthly sales totals for january through november. The sales total for decemeber was what fraction of the sales total for the year?

A. 1/4
B. 4/15
C. 1/3
D. 4/11
E. 4/5


x is the average monthy sales. So Dec=4x and the other 11 months are 11x

So 4x+11x = total. 4x/15x --> 4/15

B
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Re: Last year Deparment Store x had a sales total for December [#permalink] New post 13 Jan 2014, 04:26
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Re: Last year Deparment Store x had a sales total for December   [#permalink] 13 Jan 2014, 04:26
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