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

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londonluddite
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For each of her sales, a saleswoman receives a commission eq [#permalink] For each of her sales, a saleswoman receives a commission eq   Updated on: 26 Nov 2013, 01:33
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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%
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B

Originally posted by londonluddite on 28 Oct 2006, 11:12.
Last edited by Bunuel on 26 Nov 2013, 01:33, edited 1 time in total.
Renamed the topic, edited the question and added the OA.
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yogeshsheth
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[#permalink] For each of her sales, a saleswoman receives a commission eq   28 Oct 2006, 11:17
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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?
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brufarber
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Re: GMATPREP PS: Saleswomans commission [#permalink] For each of her sales, a saleswoman receives a commission eq   28 Oct 2006, 11:29
My vote for 24%
190 = 800x
x = 190/800
x = 23.75%
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londonluddite
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[#permalink] For each of her sales, a saleswoman receives a commission eq   28 Oct 2006, 11:31
yep OA is B

somehow i managed to figure 30/100 * 300 = 100 :wall :nopem
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Saabs
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Re: For each of her sales, a saleswoman receives a commission eq [#permalink] For each of her sales, a saleswoman receives a commission eq   06 Jul 2014, 05:54
What's a good tip to quickly see that 190/800 = 23,75?
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Re: For each of her sales, a saleswoman receives a commission eq [#permalink] For each of her sales, a saleswoman receives a commission eq   06 Jul 2014, 10:34
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Saabs wrote:
What's a good tip to quickly see that 190/800 = 23,75?


You should do the math:

\(\frac{190}{800}*100=\frac{190}{8}=\frac{95}{4}\approx{24}\).
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Re: For each of her sales, a saleswoman receives a commission eq [#permalink] For each of her sales, a saleswoman receives a commission eq   30 Jul 2014, 04:49
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.
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Re: For each of her sales, a saleswoman receives a commission eq [#permalink] For each of her sales, a saleswoman receives a commission eq   31 Jul 2014, 03:25
\(\frac{(\frac{20}{100})*500+ (\frac{30}{100})*300}{800} * 100\)

\(= \frac{190}{800} * 100\)

= 24%

Answer = B
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Re: For each of her sales, a saleswoman receives a commission eq [#permalink] For each of her sales, a saleswoman receives a commission eq   02 Jan 2016, 16:01
Saabs wrote:
What's a good tip to quickly see that 190/800 = 23,75?

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
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Re: For each of her sales, a saleswoman receives a commission eq [#permalink] For each of her sales, a saleswoman receives a commission eq   03 Jun 2018, 12:18
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.
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For each of her sales, a saleswoman receives a commission eq [#permalink] For each of her sales, a saleswoman receives a commission eq   04 Jun 2018, 13:32
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londonluddite wrote:
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%

khan0210 wrote:
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.

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.
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Re: For each of her sales, a saleswoman receives a commission eq [#permalink] For each of her sales, a saleswoman receives a commission eq   08 Nov 2020, 10:11
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
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Re: For each of her sales, a saleswoman receives a commission eq [#permalink] For each of her sales, a saleswoman receives a commission eq   23 Jan 2023, 02:09
BrainLab wrote:
Saabs wrote:
What's a good tip to quickly see that 190/800 = 23,75?

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

how did you get 90/4
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Re: For each of her sales, a saleswoman receives a commission eq [#permalink] For each of her sales, a saleswoman receives a commission eq   22 Feb 2024, 10:18
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Re: For each of her sales, a saleswoman receives a commission eq [#permalink]
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