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# here's easy pickin's: Last year Department store X had a

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Current Student
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here's easy pickin's: Last year Department store X had a [#permalink]  30 Jan 2008, 14:06
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Difficulty:

5% (low)

Question Stats:

100% (01:02) correct 0% (00:00) wrong based on 1 sessions
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
Director
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Re: PS Department Sto' [#permalink]  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
Director
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Re: PS Department Sto' [#permalink]  30 Jan 2008, 17:43
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]  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]  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
Re: PS Department Sto'   [#permalink] 30 Jan 2008, 19:15
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