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# An electrical appliances store sold this month 400% more than the aver

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Math Expert
Joined: 02 Sep 2009
Posts: 64144
An electrical appliances store sold this month 400% more than the aver  [#permalink]

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04 Jul 2016, 08:06
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Difficulty:

45% (medium)

Question Stats:

64% (01:47) correct 36% (01:58) wrong based on 67 sessions

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An electrical appliances store sold this month 400% more than the average of all the other months in the year. The sales total for this month was approximately what percent of total sales for this year?

A. 14%.
B. 21%.
C. 31%.
D. 37%.
E. 43%.

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Intern
Joined: 03 Aug 2015
Posts: 31
Re: An electrical appliances store sold this month 400% more than the aver  [#permalink]

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04 Jul 2016, 09:15
Let the Avg for 11 months be X..
then total sale for 11 months =11x
sale for the left out month = x(1+4)=5x

% = 5x/16x *100= 31 (approx.)
Director
Joined: 20 Feb 2015
Posts: 722
Concentration: Strategy, General Management
Re: An electrical appliances store sold this month 400% more than the aver  [#permalink]

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05 Jul 2016, 02:42
lets say the store sold 100 units per month
total units sold for 11 months = 1100 units
this month he sold 400% more = 500 units
total sale for the year = 1100+500=1600 units
that is
(5/16)*100 = 31.25%
Intern
Joined: 21 Feb 2016
Posts: 9
Location: United States (MA)
An electrical appliances store sold this month 400% more than the aver  [#permalink]

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06 Jul 2016, 05:14
Bunuel wrote:
An electrical appliances store sold this month 400% more than the average of all the other months in the year. The sales total for this month was approximately what percent of total sales for this year?

A. 14%.
B. 21%.
C. 31%.
D. 37%.
E. 43%.

Say, the average sales for all the other months (11 months) of the year is x.
So, the total sales of those 11 months will be= 11x

Now, this month's sales, which is 400% more than the average of other months' sales, is 5x, (x+400% of x).

Thus, this months' sales are (5x/16x)*100=31.25% of the total yearly sales. [Total sales=11x+5x=16x]

An electrical appliances store sold this month 400% more than the aver   [#permalink] 06 Jul 2016, 05:14