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According to the table shown, the estimated number of homeschooled
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Updated on: 17 Jun 2017, 13:16
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According to the table shown, the estimated number of homeschooled students in State A is approximately what percent greater than the number in State D? A. 25% B. 55% C. 100% D. 125% E. 155%
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Originally posted by AbdurRakib on 17 Jun 2017, 10:21.
Last edited by Bunuel on 17 Jun 2017, 13:16, edited 2 times in total.
Renamed the topic and edited the question.




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Re: According to the table shown, the estimated number of homeschooled
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21 Nov 2018, 23:09
HisHo wrote: ScottTargetTestPrep VeritasKarishmaExperts, I'm always facing difficulties with such kind of problems where it's requested to get the percentage by x is greater/smaller than y. The point of confusion is what is in the denominator; is it x or y? for e.g. in this problem, why we said (AD)/D not (AD)/A? Valid problem! The denominator is always the base. What is the base? The one which comes after "than". You re comparing X with the BASE. "More than Y"/"Less than Y" etc. So Y is the base. "State A is approximately what percent greater than the number in State D?" D comes after "than". So base is D. So D goes in the denominator. It will be (A  D)/D Hope this helps.
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According to the table shown, the estimated number of homeschooled
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Updated on: 11 Aug 2017, 09:30
AbdurRakib wrote: Attachment: 2018.OG.05.055.q.png A. 25% B. 55% C. 100% D. 125% E. 155% Students in A = 181 Students in D = 79 Difference between A and D = 181  79 = 102
Required percentage = Difference between A and D / D \(= \frac{102}{79} * 100\)
Approximately \(= \frac{100}{80}* 100 = 125%\). Answer D..._________________ Please Press "+1 Kudos" to appreciate.
Originally posted by sashiim20 on 17 Jun 2017, 10:26.
Last edited by sashiim20 on 11 Aug 2017, 09:30, edited 1 time in total.




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Re: According to the table shown, the estimated number of homeschooled
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18 Jul 2017, 11:22
Can you please explain again in simpler terms



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Re: According to the table shown, the estimated number of homeschooled
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18 Jul 2017, 13:08
asfandabid wrote: Can you please explain again in simpler terms A =181 D=79 ok... now suppose D will be increased 100% or just doubled the value we get = 79+79 = 158 ~ 160 but still A is ahead by 181160 = 21 or ~20 units thus 20 is again what % of 79 or ~ 80 let it be x% then x% of 80 =20 or 80x/100=20 x= 25 %thus total increase = 100 (earlier shown) + 25% (calculated x) =125% Ans D hope it makes sense!!!!!



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Re: According to the table shown, the estimated number of homeschooled
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09 Aug 2017, 06:36
AbdurRakib wrote: Attachment: 2018.OG.05.055.q.png According to the table shown, the estimated number of homeschooled students in State A is approximately what percent greater than the number in State D? A. 25% B. 55% C. 100% D. 125% E. 155% State A  181,000 State D  79,000 A is what % greater than D approximately? Let's round up D = 80,000 100% increase => D = 160,000 => A,B,C can be safely eliminated. 150% increase => D = 200,000 < Already too big => E can safely be eliminated. D is the answer i.e. approximately 125% increase.
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Re: According to the table shown, the estimated number of homeschooled
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10 Aug 2017, 03:22
sashiim20 wrote: AbdurRakib wrote: Attachment: 2018.OG.05.055.q.png A. 25% B. 55% C. 100% D. 125% E. 155% Students in A = 181 Students in D = 79 Difference between A and D = 181  97 = 102
Required percentage = Difference between A and D / D \(= \frac{102}{79} * 100\)
Approximately \(= \frac{100}{80}* 100 = 125%\). Answer D..._________________ Please Press "+1 Kudos" to appreciate. The different between A and D should be 18179? how is it 18197? thank you



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Re: According to the table shown, the estimated number of homeschooled
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10 Aug 2017, 10:38
AbdurRakib wrote: Attachment: 2018.OG.05.055.q.png According to the table shown, the estimated number of homeschooled students in State A is approximately what percent greater than the number in State D? A. 25% B. 55% C. 100% D. 125% E. 155% Approximate. The number of home schooled children in A is 180 and that in D is 80. We need to find by what percentage is A greater than D. A is 100 greater than D. If A were 80 greater than D, it would be 100% greater. If A were 80 + 40 = 120 greater than D, it would be 150% greater. It is right in the middle of the two  i.e. it is 100 greater hence it is 125% greater than D. Answer (D)
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According to the table shown, the estimated number of homeschooled
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11 Aug 2017, 09:30
pclawong wrote: The different between A and D should be 18179? how is it 18197? thank you It was a typo. Edited. Thank you.



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Re: According to the table shown, the estimated number of homeschooled
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11 Aug 2017, 09:50
asfandabid wrote: Can you please explain again in simpler terms Sure. According to the table, \(A = 181\) \(D =79\) Difference of \(A\) and \(D\) will give how much is \(A\) greater than \(D\). Therefore, \(A  D = 181 79 = 102\) Required percent = (Difference of \(A\) and \(D\) \(/\) \(D) * 100= \frac{102}{79}\) * 100 As the question is asking the approximate value, we can approximate the above fraction Therefore; \(\frac{102}{79}*100 =\) (Approximately) \(= \frac{100}{80} * 100 = 125\) % Answer (D) Hope its clear now.



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Re: According to the table shown, the estimated number of homeschooled
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15 Aug 2017, 10:53
AbdurRakib wrote: Attachment: 2018.OG.05.055.q.png According to the table shown, the estimated number of homeschooled students in State A is approximately what percent greater than the number in State D? A. 25% B. 55% C. 100% D. 125% E. 155% We can set up the following expression: (181,000  79,000)/79,000 x 100 Estimating, we have: (180,000  80,000)/80,000 x 100 100,000/80,000 x 100 10/8 x 100 = 5/4 x 100 = 125% Answer: D
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Re: According to the table shown, the estimated number of homeschooled
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19 Jul 2018, 05:22
Here's my solution: State A: X State D: Y Percentage: P X= Y + Y*P/100 Since the question is asking for approximate no X and Y values rounded to the nearest integer. 180=80+80*P/100 100=80*P/100 100*5/4=P 125=P Correct answer D
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Re: According to the table shown, the estimated number of homeschooled
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01 Nov 2018, 06:10
I believe the correct answer option provided is flawed. Shouldn't the correct answer be A, 25%, as the question is what % greater the number of students in State A is compared to State B, rather than what % the number of students in state A is of State B? If the answer is 125% the number of students in State A would have to be at least twice as large as in State B right?



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Re: According to the table shown, the estimated number of homeschooled
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21 Nov 2018, 14:27
ScottTargetTestPrep VeritasKarishmaExperts, I'm always facing difficulties with such kind of problems where it's requested to get the percentage by x is greater/smaller than y. The point of confusion is what is in the denominator; is it x or y? for e.g. in this problem, why we said (AD)/D not (AD)/A?



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Re: According to the table shown, the estimated number of homeschooled
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27 Nov 2018, 10:36
Hi HisHo, Since we need to determine “percent greater,” we need the percent change to be positive, right? So, another way to set up the percent change formula is: (larger value  smaller value)/(smaller value) x 100 Please reach out with any further questions.
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Re: According to the table shown, the estimated number of homeschooled
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21 Apr 2019, 00:49
In these kinds of problems I don't really want to get too hanged up on calculations. So, what I did was I calculated what \(2 * 79\) is to find whether \(181\) is at least 2 times that result, hence if it is more than 100% of the original number. \(2*79=158\), so answer choices A, B and C are instantly eliminated. Then, I had to pick whether the increase was 125% or 155%. I thought to myself "What is HALF (or 50%) of 79?". The answer is ~39, which means that \(158+39\) is greater than our target number of 181. Hence, correct choice is D. Hope I helped offering a slightly different and IMO faster approach.
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According to the table shown, the estimated number of homeschooled
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20 Jun 2019, 22:52
To Solve quickly
A= 181 and D = 79 ( both in thousands so we are ignoring that for quick cal Purpose)
We can take A as apx 180 and D as 80 ( Q has asked for apx value)
Now How much A is greater than D in Percent
AD =18080= 100 = We can write 100 as 80+20= 100%+25% ( Because 80=100% ( value of D) AND 20 is 1/4 of 80 .Therefore 25%)
Ans is 125% option D




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