Last September the Sales total for a Certain Car Dealership was 400% GMAT Problem Solving

Question: 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?

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

Answer:
Solution with Explanation:
Approach Solution (1):

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 sales total?
$5/$16 = 31.25%

Correct Option: C

Approach Solution (2):

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 year’s sale?

The question can be easily solved by assuming that the dealership sold 100 cars each month.

If the dealership managed to sell 400% more cars in September than in all other months, it means that the sales total for September was 100 + 400% or 500 cars. At the same time, the sales total for the other 11 month equals 11 * 100 or 1100 cars. 1100 + 500 equals 1600 cars sold throughout the year.

The number should then be divided by 500 cars sold in September in order to get percent of the year sales 1600/500 = 32% approx.

Correct Option: C

Approach Solution (3):

Let A = Monthly Average $ Sales for the other 11 months
Thus, the Total $ Sales over the last 11 months = 11 * A
“September’s Sales were 400% greater” than the Average $ Sales over the other 11 months
400% greater --- (400 + 100)% * A = 5 * A
September Sales = 5A

Total Sales over other 11 months = 11A
Total year sales = 16A
[(5A) / (11A + 5A)] * 100% = (5/16) * 100%
Estimating the %age, 5/16 is a little less than < 1/3 --- which is 33.33%

Thus, the %age answer choice should be little less than < 33.33%

Correct Option: C

“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?”- is a topic of the GMAT Quantitative reasoning section of GMAT. This question has been taken from the book “GMAT Official Guide Quantitative Review”. To solve GMAT Problem Solving questions a student must have knowledge about a good amount of qualitative skills. The GMAT Quant topic in the problem-solving part requires calculative mathematical problems that should be solved with proper mathematical knowledge.

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