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According to the table shown, the estimated number of home-schooled

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According to the table shown, the estimated number of home-schooled [#permalink]

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2018.OG.05.055.q.png
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According to the table shown, the estimated number of home-schooled 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%
[Reveal] Spoiler: OA

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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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According to the table shown, the estimated number of home-schooled [#permalink]

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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...


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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 home-schooled [#permalink]

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New post 18 Jul 2017, 11:21
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...


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Can you please explain

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Re: According to the table shown, the estimated number of home-schooled [#permalink]

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New post 18 Jul 2017, 11:22
Can you please explain again in simpler terms

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New post 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 181-160 = 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 home-schooled [#permalink]

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New post 09 Aug 2017, 06:36
AbdurRakib wrote:
Attachment:
2018.OG.05.055.q.png

According to the table shown, the estimated number of home-schooled 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 home-schooled [#permalink]

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New post 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...


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The different between A and D should be 181-79?
how is it 181-97?
thank you

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Re: According to the table shown, the estimated number of home-schooled [#permalink]

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New post 10 Aug 2017, 10:38
AbdurRakib wrote:
Attachment:
2018.OG.05.055.q.png

According to the table shown, the estimated number of home-schooled 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 home-schooled [#permalink]

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New post 11 Aug 2017, 09:30
pclawong wrote:
The different between A and D should be 181-79?
how is it 181-97?
thank you


It was a typo. Edited. Thank you. :)

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Re: According to the table shown, the estimated number of home-schooled [#permalink]

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New post 11 Aug 2017, 09:50
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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 home-schooled [#permalink]

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New post 15 Aug 2017, 10:53
AbdurRakib wrote:
Attachment:
2018.OG.05.055.q.png

According to the table shown, the estimated number of home-schooled 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 home-schooled   [#permalink] 15 Aug 2017, 10:53
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