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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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Updated on: 17 Jun 2017, 13:16
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2018.OG.05.055.q.png [ 56.01 KiB | Viewed 13876 times ]

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%

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Sentence Correction-Collection of Ron Purewal's "elliptical construction/analogies" for SC Challenges

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 home-schooled  [#permalink]

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21 Nov 2018, 23:09
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3
HisHo wrote:
Experts,
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 (A-D)/D not (A-D)/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 home-schooled  [#permalink]

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Updated on: 11 Aug 2017, 09:30
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6
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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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 home-schooled  [#permalink]

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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 home-schooled  [#permalink]

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18 Jul 2017, 13:08
2
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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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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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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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.

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

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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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11 Aug 2017, 09:50
1
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) $$= \frac{100}{80} * 100 = 125$$%

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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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%

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

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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

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

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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 home-schooled  [#permalink]

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21 Nov 2018, 14:27
Experts,
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 (A-D)/D not (A-D)/A?
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Re: According to the table shown, the estimated number of home-schooled  [#permalink]

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27 Nov 2018, 10:36
2
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 home-schooled  [#permalink]

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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 home-schooled  [#permalink]

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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

A-D =180-80= 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
According to the table shown, the estimated number of home-schooled   [#permalink] 20 Jun 2019, 22:52
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