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.

Suggested GMAT Problem Solving Samples

• A circle with a radius R is inscribed into a square with a side K GMAT Problem Solving
• Machine A can do a certain job in 12 days working 2 full shifts while Machine B can do the same job in 15 days working 2 full shifts GMAT Problem Solving
• The square of \(5^\sqrt2)\ =? GMAT Problem Solving
• If (a1 + a2 + a3 + .... +an) = 3(2n+1 - 2), For Every n≥1, Then a11 Equals GMAT Problem Solving
• The Hexagon ABCDEF is Regular GMAT Problem Solving
• If x is not equal to zero, and x + 1/x = 3, then what is the value of x^4 + 1/x_4? GMAT Problem Solving
• If mn ≠ 0 and 25 Percent of n Equals 37 1/2 Percent of m, What is the Value of 12n/m? GMAT Problem Solving
• How many multiples of 7 are there between 21 and 343, exclusive? GMAT Problem Solving
• How many odd factors does 210 have? GMAT Problem Solving
• How many three-digit integers are not divisible by 3? GMAT Problem Solving
• How many three-digit numbers are there such that all three digits are different and the first digit is not zero? GMAT Problem Solving
• After 6 Games, Team B Had an Average of 61.5 Points Per Game. GMAT Problem Solving
• If 10, 12 and ‘x’ are Sides of an Acute Angled Triangle, How Many Integer Values of ‘x’ are Possible? GMAT Problem Solving
• \(\frac{15^{11}-15^{10}}{14}=?\) GMAT Problem Solving
• For Any Four Digit Number, abcd, *abcd*= (3^a)(5^b)(7^c)(11^d) GMAT Problem Solving
• GMAT Problem Solving - Iqbal Dealt Some Cards to Mushtaq and himself from a Full Pack of Playing Cards
• A Rectangular Box has Dimensions 12*10*8 Inches GMAT Problem Solving
• What Is The Circumference Of The Semicircle In The Figure Shown? GMAT Problem Solving
• How Many Odd Factors does 210 have?
• If 80 Lamps Can Be Lighted, 5 Hours Per Day For 10 Days For $21.25
• A Circle with a Radius R is Inscribed into a Square with a Side K.
• Did Insurance Company K have More than $300 Million in Total Net Profits Last Year?
• After 6 games, Team B had an average of 61.5 points per game GMAT Problem Solving 
• Simplify:\frac{4.5-2*\frac{3}{6}+\frac{1}{4^2}}{0.75} GMAT Problem Solving 
• There are 6 points on xy-plane GMAT Problem Solving 
• Mike, Tom, and Walt are working as sales agents for an insurance company GMAT Problem Solving 
• What is the value of k if the sum of consecutive odd integers from 1 to k equals 441? GMAT Problem Solving 
• A circle with a radius R is inscribed into a square with a side K GMAT Problem Solving 
• The square of \(5^\sqrt2)\ =? GMAT Problem Solving 
• A farm has chickens, cows and sheep GMAT Problem Solving 
• If g is an integer what is the value of (-1)^g^4-1? GMAT Problem Solving 
• If the equation |x|+|y|= 5 encloses a certain region on the graph GMAT Problem Solving
• If x = ¾ and y = ⅖ , what is the value of (x^2+ 6x+ 9) - (y^2-2y+ 1)? GMAT Problem Solving
• If a Carton Containing a Dozen Mirrors is dropped which of the following Cannot be the Ratio of Broken Mirrors to Unbroken Mirrors?
• A Merchant has 1000 kg of Sugar Part of Which He Sells at 8% Profit GMAT Problem Solving
• If 69% of k is 23, Approximately How Much is 23% of k? GMAT Problem Solving
• Metropolis Corporation has 4 Shareholders GMAT Problem Solving
• \((\frac{1}{7})^x*(\frac{1}{8})^{12}=(\frac{1}{8})^{18y}\) , then what is the value of y-x? GMAT Problem Solving
• At Springfield High, Three-Fourths of the Male Students and Half of the Female Students Speak a Foreign Language GMAT Problem Solving
• What is the Number of Integers from 1 to 1000, Inclusive that are not Divisible by 11 or by 35? GMAT Problem Solving
• If m is Three Times n, and if 2n + 3 is 20% of 25, What is the value of m? GMAT Problem Solving
• If Ben Were to Lose the Championship, Mike would be the Winner GMAT Problem Solving
• Simplify:\frac{4.5-2*\frac{3}{6}+\frac{1}{4^2}}{0.75} GMAT Problem Solving
• There are 6 points on xy-plane GMAT Problem Solving
• Mike, Tom, and Walt are working as sales agents for an insurance company GMAT Problem Solving
• A Commonwealth condominium complex has k apartments, n of which are rented at s dollars a month, providing total monthly revenue of p dollars GMAT Problem Solving
• The Figure Below Shows a Square Inscribed in a Circle with the Radius of√6. What is the Area of the Shaded Region? GMAT Problem Solving
• What is the value of k if the sum of consecutive odd integers from 1 to k equals 441? GMAT Problem Solving