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Town T has 35,000 residents, 40% of whom earn at least $50,000 per yea

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Town T has 35,000 residents, 40% of whom earn at least $50,000 per yea  [#permalink]

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New post 26 Sep 2019, 20:55
1
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A
B
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E

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Town T has 35,000 residents, 40% of whom earn at least $50,000 per year. What % of those who earn at least $50,000 per year work for company X?

(1) 5,600 of the residents of Town T work for company X
(2) Company X has 1,800 employees who earn at least $50,000 per year

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Re: Town T has 35,000 residents, 40% of whom earn at least $50,000 per yea  [#permalink]

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New post 26 Sep 2019, 21:56
Total residents in Town T=35,000
40% of T earn at least $50,000 per year. Implying 0.4*35,000 = 14,000 residents earn at least $50,000 per annum
We are to find what proportion of those residents of T earning at least $50,000 that work for company X

statement 1 states 5,600 residents of T work for X.
This is insufficient since we have no information about how many out of the 5,600 earn at least $50,000

statement 2 states that X has 1,800 who earn at least $50,000 per year.
So we know that 1800 employees of X earn at least $50,000. Are all these employees from town T? The question did not state that all the employees of X work for Town T, hence we are still not able to determine the total number out of 1,800 earning at least $50,000 who are from Town T. So in my view, statement 2 is still insufficient. The question needs to be explicit. We are not even sure if company X is located within Town T.

1+2 still not sufficient. We only know that 5,600 employees of X are from Town T. That does not in anyway imply that the total number of employees for X is 5,600. We also know that 1,800 employees of X earn at least $50,000. We cannot be sure if all these employees are residents of town T. 1+2 taken together is still not sufficient in my view.

Answer has to be E imo.
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Re: Town T has 35,000 residents, 40% of whom earn at least $50,000 per yea  [#permalink]

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New post 26 Sep 2019, 21:59
1
Town T has 35,000 residents, 40% of whom earn at least $50,000 per year. What % of those who earn at least $50,000 per year work for company X?

(1) 5,600 of the residents of Town T work for company X
(2) Company X has 1,800 employees who earn at least $50,000 per year

from given,
% of those who earn at least $50,000 = 14,000
WE HAVE TO FIND % of those who earn at least $50,000 per year work for company X?

only(1)....clearly insuff
only (2).....suff


% of those who earn at least $50,000 per year work for company X= 1800*100/14000

OA:B
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Re: Town T has 35,000 residents, 40% of whom earn at least $50,000 per yea  [#permalink]

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New post 26 Sep 2019, 22:47
1
Town T has 35,000 residents, 40% of whom earn at least $50,000 per year. So 40%*35,000 = 14,000 people in Town T who earn at least $50,000 per year. Find % of people who earn at least $50,000 who work for company x?

1) 5,600 of the residents of Town T work for company X - but we do not know the proportion who earn at least $50,000 in company X. Therefore, not sufficient

2) Company X has 1,800 employees who earn at least $50,000 per year
Now we can find the % of people who earn> 50,000 and work in X.
= 1800/14000
So, 2 alone is sufficient - answer B
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Re: Town T has 35,000 residents, 40% of whom earn at least $50,000 per yea  [#permalink]

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New post 27 Sep 2019, 00:05
Total employees earning ≥ $50,000 per year = 40% of 35,000 = 14,000
% of employees earning ≥ $50,000 per year for company X = \(\frac{Number of employees earning ≥ $50,000 per year}{Total number of employees working in Company X}\)

(1) 5,600 of the residents of Town T work for company X
Since there’s a variable possibility of number of employees earning ≥ $50,000 per year, it may be 50% or 20% or 5%. Hence

INSUFFICIENT.

(2) Company X has 1,800 employees who earn at least $50,000 per year
Number of employees earning ≥ $50,000 per year for company X = 1,800
Total number of employees working for company X can be 1,800 or 10,000 or 18,000. Hence

INSUFFICIENT.

Together 1) and 2)
% of employees earning ≥ $50,000 per year for company X = \(\frac{Number of employees earning ≥ $50,000 per year}{Total number of employees working in Company X}\)
\(= \frac{1,800}{5,600}\)
= 32.14%

SUFFICIENT.

Answer (C).
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Re: Town T has 35,000 residents, 40% of whom earn at least $50,000 per yea  [#permalink]

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New post 27 Sep 2019, 03:54
1
Quote:
Town T has 35,000 residents, 40% of whom earn at least $50,000 per year. What % of those who earn at least $50,000 per year work for company X?

(1) 5,600 of the residents of Town T work for company X
(2) Company X has 1,800 employees who earn at least $50,000 per year


..........X....NotX.....Total
≥50: 40%(35k)=14k
<50: (35-14k)=21k
Total: 35k

find: (X≥50)/14k=

(1) 5,600 of the residents of Town T work for company X: insufi.

..........X....NotX.....Total
≥50: 40%(35k)=14k
<50: (35-14k)=21k
Total: [5.6k] [29.4k] 35k

(2) Company X has 1,800 employees who earn at least $50,000 per year: sufic.

..........X....NotX.....Total
≥50: [1.8k] 40%(35k)=14k
<50: (35-14k)=21k
Total: 35k

find: (X≥50)/14k=1.8k/14k=18/140=9/70

Answer (B)
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Re: Town T has 35,000 residents, 40% of whom earn at least $50,000 per yea  [#permalink]

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New post Updated on: 30 Sep 2019, 14:59
from giveb info we can say;

------work for X -- not work for x ---total
>=50K$-- -- - ---14000
<50K$ --- - ---- -------21000
total ---- 5600 ----- 29400 ---------35000
from 1&2 we cannot get any additional info to know what % of those who earn at least $50,000 per year work for company X ;
IMO E
Bunuel
please explain the solution on why answer is B ? the forum seems to be divided over E and B..
the given statements are ambiguos as its not mentioned in the question that only residents of Town T work in company X ; considering "Yes" to that situation only then shall the #2 be sufficient ..

Town T has 35,000 residents, 40% of whom earn at least $50,000 per year. What % of those who earn at least $50,000 per year work for company X?

(1) 5,600 of the residents of Town T work for company X
(2) Company X has 1,800 employees who earn at least $50,000 per year

Originally posted by Archit3110 on 27 Sep 2019, 04:12.
Last edited by Archit3110 on 30 Sep 2019, 14:59, edited 2 times in total.
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Re: Town T has 35,000 residents, 40% of whom earn at least $50,000 per yea  [#permalink]

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New post 27 Sep 2019, 08:14
Town T has 35,000 residents, 40% of whom earn at least $50,000 per year. What % of those who earn at least $50,000 per year work for company X?
(1) 5,600 of the residents of Town T work for company X
(2) Company X has 1,800 employees who earn at least $50,000 per year
Total 14000 residents of town T earn at least $50,000 per year.
1) Insufficient, as we don't know the earning details of 5600 residents of town T, who work for company X.
2) Insufficient, as we don't know whether such 1800 employees are residents of town T.
Combined, Insufficient.
Hence, E.
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Re: Town T has 35,000 residents, 40% of whom earn at least $50,000 per yea  [#permalink]

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New post 28 Sep 2019, 07:01
Town T —35000 residents
—> 40% of 35000=14000 residents of Town T who earn at least $50000 per year.

What percent of 14000 residents of Town T who earn at least $50000 work for Company X ???
—>\(\frac{(the number of residents of Town T who earn at least $50000 per year in Company X)}{14000}\)= ???

Statement1: 5600 of the residents of Town T work for company X.
—> Still no info about how many of 5600 residents who work for Company X earn at least $50000
Insufficient

Statement2: Company X has 1800 employees who earn at least $50000 per year.
—>We still do not know how many of 1800 employees of Company X who earn at least $50000 per year are from Town T.
Insufficient

Taken together 1&2, There is still not enough info about how many residents of Town T who earn at least $50000 per year work for Company X
Insuffient

The answer is E.

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Re: Town T has 35,000 residents, 40% of whom earn at least $50,000 per yea  [#permalink]

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New post 28 Sep 2019, 07:44
This is a wierd question, maybe I missed the trick, but (1) is NS, and (2) just gives you the answer so correct answer is B/
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Re: Town T has 35,000 residents, 40% of whom earn at least $50,000 per yea  [#permalink]

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New post 28 Sep 2019, 07:51
1
Quote:
Town T has 35,000 residents, 40% of whom earn at least $50,000 per year. What % of those who earn at least $50,000 per year work for company X?

(1) 5,600 of the residents of Town T work for company X
(2) Company X has 1,800 employees who earn at least $50,000 per year


35,000 residents
14,000 earns at least $50,000

(1) 5,600 of Town T work at X but do they all earn at least $50,000? - INSUFFICIENT

(2) 1,800 at X earn at least $50,000 but are they all from Town X? - INSUFFICIENT

Together
No new information can be inferred by putting the two together.

I believe the answer is E.
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Re: Town T has 35,000 residents, 40% of whom earn at least $50,000 per yea  [#permalink]

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New post 29 Sep 2019, 06:23
Please explain this Bunuel
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Re: Town T has 35,000 residents, 40% of whom earn at least $50,000 per yea  [#permalink]

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New post 10 Oct 2019, 11:25
1
Very interesting question.

Since, even after combining both the statements 1 & 2, we don't know how many employees out of 1800 employees of Company X are from Town T.
It is not possible to answer the Question. "What % of those who earn at least $50,000 per year work for company X?"
Hence the answer shall be E.

Bunuel wrote:

Competition Mode Question



Town T has 35,000 residents, 40% of whom earn at least $50,000 per year. What % of those who earn at least $50,000 per year work for company X?

(1) 5,600 of the residents of Town T work for company X
(2) Company X has 1,800 employees who earn at least $50,000 per year

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Re: Town T has 35,000 residents, 40% of whom earn at least $50,000 per yea   [#permalink] 10 Oct 2019, 11:25
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