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Last year Department Store X had a sales total for December that was 4
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13 Jun 2022, 03:00
13 Jun 2022, 03:00
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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
(A) 1/4
(B) 4/15
(C) 1/3
(D) 4/11
(E) 4/5
Part of the project: GRE QCQ & PS 3 Questions Every One DAILY Challenge - (2022)
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GRE Math Essentials for a TOP Quant Score - Q170!!! (2021)
GRE Geometry Formulas for a Q170
GRE - Math Book
~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~
GRE Math Essentials for a TOP Quant Score - Q170!!! (2021)
GRE Geometry Formulas for a Q170
GRE - Math Book
Re: Last year Department Store X had a sales total for December that was 4
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13 Jun 2022, 05:15
13 Jun 2022, 05:15
1
Let total sales of December = Y
Let the monthly mean (Jan - Nov) = x
Therefore if x=10, then Y=4*10=40
This indicate the total sales (Jan - Nov)=110 ---> annual sales = 110+40=150
Now the ratio of DEC sales to FY sales = 40/150 = 4/15
The answer is (B)
Let the monthly mean (Jan - Nov) = x
Therefore if x=10, then Y=4*10=40
This indicate the total sales (Jan - Nov)=110 ---> annual sales = 110+40=150
Now the ratio of DEC sales to FY sales = 40/150 = 4/15
The answer is (B)
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Re: Last year Department Store X had a sales total for December that was 4
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13 Jun 2022, 06:06
13 Jun 2022, 06:06
1
Carcass wrote:
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
(A) 1/4
(B) 4/15
(C) 1/3
(D) 4/11
(E) 4/5
An easy approach is to assign values that satisfy the given information.
So, it could be the case that, for each month from January to November, the store made $1 in sales.
This means the average monthly sale was $1
This means the sales total for December = (4)($1) = $4
So the total sales for the entire year = (11)($1) + $4 = $15
$4 of the total sales of $15 were from December.
So, the sales total for December was 4/15 of the sales total for the year.
Answer: B
