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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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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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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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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
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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
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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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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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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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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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

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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