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Last year Deparment Store x had a sales total for December

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Last year Deparment Store x had a sales total for December [#permalink] New post 03 Dec 2007, 18:11
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
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Re: Need help solving [#permalink] New post 03 Dec 2007, 18:28
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, 22:54
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, 22:59
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
Re: Need help solving   [#permalink] 03 Dec 2007, 22:59
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