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In a company, the sales in December were equal to the total sales from

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In a company, the sales in December were equal to the total sales from  [#permalink]

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New post 02 Feb 2018, 10:28
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  85% (hard)

Question Stats:

48% (03:43) correct 52% (03:46) wrong based on 38 sessions

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In a company, the sales in December were equal to the total sales from January to May - five months during
which the average sale was 50% less than the average annual sale. The average sale during June and July
was 20% less than the annual average sale. Which of the following represents the best approximation of the
sales during August through November as a percentage of the total annual sales?

A. 30%
B. 35%
C. 40%
D. 45%
E. 50%

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Re: In a company, the sales in December were equal to the total sales from  [#permalink]

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New post 02 Feb 2018, 10:35
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B

Let the average sales be x.
Total in the year = 12x
January- 0.5x
February - 0.5x
March - 0.5x
April - 0.5x
May- 0.5x
June- 0.8x
July - 0.8x
December - 2.5x

Total- 6.6x
Remaining for August through November = 5.4x
Average =1.35x

Hence during this period the sales was up by 35%

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In a company, the sales in December were equal to the total sales from  [#permalink]

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New post 02 Feb 2018, 12:14
pushpitkc wrote:
In a company, the sales in December were equal to the total sales from January to May - five months during
which the average sale was 50% less than the average annual sale. The average sale during June and July
was 20% less than the annual average sale. Which of the following represents the best approximation of the
sales during August through November as a percentage of the total annual sales?

A. 30%
B. 35%
C. 40%
D. 45%
E. 50%


D. 45%

Let avg be 10

Month 1 2 3 4 5 6 7 8 9 10 11 12
Sales 5 5 5 5 5 8 8 ? ? ? ? 25

The known sales are 66/120
Total the unknown are 54/120

\(\frac{54}{120} = \frac{x}{100}\) = 45%
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Re: In a company, the sales in December were equal to the total sales from  [#permalink]

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New post 02 Feb 2018, 13:10
IMO D

Let the average be A, therefore
Jan to May total = 2.5A
Dec = 2.5 A
June + July = .8A+.8A = 1.6A

Total for eight months = 6.6A
Therefore, sales from August to November = 5.4A (12A-6.6A).

Hence, % = (5.4/12)*100 = 45%
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In a company, the sales in December were equal to the total sales from  [#permalink]

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New post 04 Feb 2018, 12:48
pushpitkc wrote:
In a company, the sales in December were equal to the total sales from January to May - five months during
which the average sale was 50% less than the average annual sale. The average sale during June and July
was 20% less than the annual average sale. Which of the following represents the best approximation of the
sales during August through November as a percentage of the total annual sales?

A. 30%
B. 35%
C. 40%
D. 45%
E. 50%


Let the Average Sale be \(100 = \frac{Jan + Feb + ---------------- + Dec}{12}\)
Given, \(Dec\)= \(\frac{Jan + Feb + Mar + April + May}{5}\)= \(50\)
So, \(Jan + Feb + March + April + May = Dec = 250\)
\(\frac{June + July}{2} = 80\) ---->\(June + July = 160\)
So, we have \(Aug + Sep + oct + Nov = 1200 - (250+250+160) = 540\)
\(% sales = \frac{540}{1200} = 44.16%\)
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In a company, the sales in December were equal to the total sales from &nbs [#permalink] 04 Feb 2018, 12:48
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