For each of her sales, a saleswoman receives a commission eq

Question

For each of her sales, a saleswoman receives a commission equal to 20 percent of the first $500 of the total amount of the sale, plus 30 percent of the total amount in excess of $500. If the total amount of one of her sales was $800, the saleswoman’s commission was approximately what percent of the total amount of the sale?

A. 22%
B. 24%
C. 25%
D. 27%
E. 28%

A. 22% 
B. 24% 
C. 25% 
D. 27% 
E. 28%

yogeshsheth · Accepted Answer

Total sales =800
 
Comission = (20/100)*500+ (30/100)*300
 =100 + 90
 =190

%Comission =(190/800)*100=23.7~ 24%

Answer is B

what is OA?

brufarber · Answer

My vote for 24%
190 = 800x
x = 190/800
x = 23.75%

londonluddite · Answer

yep OA is B somehow i managed to figure 30/100 * 300 = 100 :wall

Saabs · Answer

What's a good tip to quickly see that 190/800 = 23,75?

Bunuel · Answer

You should do the math:

\frac{190}{800}*100=\frac{190}{8}=\frac{95}{4}\approx{24} .

TooLong150 · Answer

Can someone add GMATPrep as a tag, because it is a GMATPrep question. I missed this question and chose C, because I approximated 1.9/8 to be 2/8=25%. Next time, I should look at the answer choices first and then see whether I need to do the math.

PareshGmat · Answer

\frac{(\frac{20}{100})*500+ (\frac{30}{100})*300}{800} * 100

= \frac{190}{800} * 100

= 24%

Answer = B

BrainLab · Answer

I think it would be more convenient to divide following to parts separately 
90/4 = 90/4 + 5/4 =22,5 + 1,25=23,75

khan0210 · Answer

I have a question

Given that everyone has solved this,

if I do (19/80)*100 = 23.75% ~ 24% 
Hence, choice B is the answer

if I round off 19 to 20 in order to get (20/80)*100=25%
Choice C is wrong.

So my question is, what is the way to ensure I am not falling into this rounding off calculation error? 
Would you suggest not doing the rounding off. However, in other gmat questions rounding off is very helpful.

generis · Answer

khan0210 , if answers are too close together, as here, do not estimate. Determining what constitutes "too close together" is not an exact science. But one and two percent between answers? \frac{1}{100} and \frac{2}{100} ? And hundreds of dollars at issue? Don't round. I agree that to estimate or round is often a shrewd strategy. Experience with a lot of questions is the best teacher. I can say safely, however, that when the difference between and among answers is 1-2%, you should not estimate. See Bunuel above.

mikemcgarry wrote an excellent overview on the matter, titled The Power of Estimation on GMAT Quant, here. Hope that helps.

CrushTheQuant · Answer

It's very helpful to write a quick diagram like the one used in this video explanation: https://www.youtube.com/watch?v=iBQAdxx ... EbH8fE88I8

mic1 · Answer

how did you get 90/4

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For each of her sales, a saleswoman receives a commission eq

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For each of her sales, a saleswoman receives a commission eq

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