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In a company, the sales in December were equal to the total sales from 18 Nov 2021, 04:00
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85% (hard)

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55% (03:15) correct 45% (03:06) wrong based on 115 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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D
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In a company, the sales in December were equal to the total sales from 27 Nov 2021, 02:58
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Let average annual sales be x
Avg Sales from Jan to May = 0.5x
Total sales from Jan to May = 2.5 x
Sales for December = 2.5 x
Avg Sales for June and July = 0.8 x
Total sales for June and July = 1.6 x
Sales from Aug to Nov = 12 x - (2.5x+2.5x+1.6x) = 5.4x
Reqd percentage = \(\frac{5.4x}{12x} *100\) = 45

Option D
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In a company, the sales in December were equal to the total sales from 27 Nov 2021, 08:23
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Let average annual sale = 100 i.e there was a sale of 100 each month

January - May total sale would have been 5*100=500, if it was exactly the annual average
But it was 50% less the annual average sale ==> so absolute sale for Jan to May = 250

December = Jan-May = 250

June- July total sale would have been 2*100, if it was exactly the annual average
But it was 20% less than the average annual sale ==> so absolute sale for Jun-July = 80% of 200 = 160

so absolute sale during Aug- Nov = annual sale - absolute sale of every other month = 1200 - 660 = 540

% of total sale = 540/1200 *100 = 45
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In a company, the sales in December were equal to the total sales from 20 Jul 2024, 06:53
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Poorly worded problem.

Average annual sales means sales conducted over one or more YEARS not months.

Average monthly sales during the year is the intended meaning.

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In a company, the sales in December were equal to the total sales from 20 Jul 2024, 21:44
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Given: 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.

Asked: Which of the following represents the best approximation of the sales during August through November as a percentage of the total annual sales?

Let the annual average sale be x
Total annual sales = 12x

Total sales from January to May - five months during which the average sale was 50% less than the average annual sale = .5x*5 = 2.5x
Total sales in December = 2.5x
The average sale during June and July was 20% less than the annual average sale = .8x
The total sales during June and July was 20% less than the annual average sale = 2*.8x= 1.6x
The total sales from August through November = 12x - 2.5x - 2.5x - 1.6x = 5.4x
The best approximation of the sales during August through November as a percentage of the total annual sales = 5.4x/12x *100% = 45%

IMO D
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In a company, the sales in December were equal to the total sales from 16 Aug 2024, 04:31
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Bunuel
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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­Months J F M A M J J A S O N D (Jan to December)

Assume sales in D = 100
Therefore JFMAM = 100
Average of these 5 months is 20. And this 20 is 50% less than avg annual sales
Hence average annual sale is 40 and total annual sale is 40x12 = 480

JJ has 20% less than average annual sale. Means 32 each

Now

JFMAM + JJ + ASON + D = 480
100 + 64 + x + 100= 480

Hence x = 216

216/480 = 45%
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In a company, the sales in December were equal to the total sales from 23 Aug 2024, 23:23
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a: sales from Jan to May
b: sales in Jun + Jul
c: sales from Aug to Nov
d: sales in Dec
S = a + b + c + d

(i) d = a

(ii) \(\frac{a}{5} = \frac{1}{2} * \frac{S}{12} = \frac{S}{24}\)

(iii) \(\frac{b}{2} = \frac{4}{5} * \frac{S}{12} = \frac{S}{15}\)


a + b + c + d = S

=> \(\frac{5S}{24} + \frac{5S}{24} + c + \frac{2S}{15} = S\)

=> \(\frac{25S}{120} + \frac{25S}{120} + c + \frac{16S}{120} = S\)

=> \(\frac{66S}{120} + c = S\)

=> \(\frac{11S}{20} + c = S\)

=> \(c = \frac{9S}{20} = \frac{45S}{100}\)­
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