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Last September the sales total for a certain car dealership was 400% [#permalink]

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21 Aug 2007, 17:53

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55% (02:37) correct
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Last September the sales total for a certain car dealership was 400% greater than the average monthly sales total for the other 11 months. The sales total for September was approximately what percent of the year´s sales?

let every month sale or average sale per month (for 11 months) be 1 car / month. so sale in september = 400% of monthly avg ... sorry 400% greater ( notice the difference) this is where we make mistakes. = (400/100)+1 = 5 times avg monthly sale so sep sale/ total yr sale= 5/16 = (3 and something) %. from the ans , only C matches.

Last september the sales total for a certain car dealership was 400% greater than the average (arithmetic mean) monthly sales total for the other 11 months of the year. The sales total for September was approximately what percent of the year's sales?

a) 15% b) 27% c) 31% d) 42% e) 75%

11 moth avg = x 11 month total = 11x sept = 400% of x + x = 5x sept/totoal = =5x/(11x+5x) = =31%
_________________

Last september the sales total for a certain car dealership was 400% greater than the average (arithmetic mean) monthly sales total for the other 11 months of the year. The sales total for September was approximately what percent of the year's sales?

a) 15% b) 27% c) 31% d) 42% e) 75%

5x/11x+5x = 5/16 = 31%
_________________

Your attitude determines your altitude Smiling wins more friends than frowning

Last September the sales total for at certain car dealership was 400% greater than the average (arithmetic mean) monthly sales total for the other 11 months of the year. The sales total for September was approximately what percent of the years sales?

1. 15% 2. 27% 3. 31% 4. 42% 5. 75%

My way of solving this is normalizing the average monthly sales on the other 11 months to =1. Thus the sales in September is 4 (400%*1) and therefore September made out: 4/(4+11)=4/15 of the years sales according to my logic.

Yet the OA suggests the same way of solving the question except that it claims that the sales in September is 1 + (400%*1) = 5, such that the fraction is 5/16 which is approximately 31%.

Would you tend to agree that this is an error in the software or am I completely missing something?

Last September the sales total for at certain car dealership was 400% greater than the average (arithmetic mean) monthly sales total for the other 11 months of the year. The sales total for September was approximately what percent of the years sales?

1. 15% 2. 27% 3. 31% 4. 42% 5. 75%

My way of solving this is normalizing the average monthly sales on the other 11 months to =1. Thus the sales in September is 4 (400%*1) and therefore September made out: 4/(4+11)=4/15 of the years sales according to my logic.

Yet the OA suggests the same way of solving the question except that it claims that the sales in September is 1 + (400%*1) = 5, such that the fraction is 5/16 which is approximately 31%.

Would you tend to agree that this is an error in the software or am I completely missing something?

andershv

the question says 400% greater than avg of remaining 11 months so the OA explanation is correct

Pay particular attention to asterixmatrix's point; the testmakers know that this is an easy trap to fall for, and will frequently include the trap as a wrong answer choice. % increase + 100% = % of total; since we are going up by 400%, we are therefore ending with a result of 500%, which we plug into our equation.
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Re: Last september the sales total for a certain car dealership [#permalink]

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05 Jul 2015, 03:19

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Re: Last September the sales total for a certain car dealership was 400% [#permalink]

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06 Aug 2016, 00:05

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Re: Last September the sales total for a certain car dealership was 400% [#permalink]

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30 Nov 2016, 13:16

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Ravshonbek wrote:

Last September the sales total for a certain car dealership was 400% greater than the average monthly sales total for the other 11 months. The sales total for September was approximately what percent of the year´s sales?

A. 15 % B. 27% C. 31% D. 42% E. 75%

Let's assign some nice values

Last September the sales total for a certain car dealership was 400% greater than the average monthly sales total for the other 11 months. Let's say that the AVERAGE monthly sales for the other 11 months = $1 400% of $1 = $4 So, September's sales total = $1 + $4 = $5

So, the YEARLY total sales = (11)($1) + $5 = $16

The sales total for September was approximately what percent of the year´s sales? $5/$16 = 31.25%

Answer: C
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Re: Last September the sales total for a certain car dealership was 400%
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30 Nov 2016, 13:16

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