Of the 200 employees in a certain company, 25 percent will
be relocated to City X and the remaining 75 percent will be
relocated to City Y. However, 40 percent of the employees
prefer City Y and 60 percent prefer City X. What is the highest
possible number of employees who will be relocated to the city
they prefer?
(A) 65
(B) 100
(C) 115
(D) 130
(E) 135
is there a shortcut approach to this question? I solved it in a time consuming way.
[spoiler]OA: D[/spoiler]
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To MAXIMIZE the number of employees assigned to the city they prefer, we must MINIMIZE the number of disappointed employees.buoyant wrote:Of the 200 employees in a certain company, 25 percent will
be relocated to City X and the remaining 75 percent will be
relocated to City Y. However, 40 percent of the employees
prefer City Y and 60 percent prefer City X. What is the highest
possible number of employees who will be relocated to the city
they prefer?
(A) 65
(B) 100
(C) 115
(D) 130
(E) 135
is there a shortcut approach to this question? I solved it in a time consuming way.
[spoiler]OA: D[/spoiler]
X:
40% prefer X.
75% will be relocated to X.
Thus, every researcher who prefers X can be relocated to X.
Y:
60% prefer Y.
Only 25% will be relocated to Y.
Thus, at least 35% of the 200 employees will be disappointed.
Thus:
Minimum number of disappointed employees = 35% of 200 = 70.
Maximum number of employees assigned to the city they prefer = 200-70 = 130.
The correct answer is D.
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Followed here and elsewhere by over 1900 test-takers.
I have worked with students based in the US, Australia, Taiwan, China, Tajikistan, Kuwait, Saudi Arabia -- a long list of countries.
My students have been admitted to HBS, CBS, Tuck, Yale, Stern, Fuqua -- a long list of top programs.
As a tutor, I don't simply teach you how I would approach problems.
I unlock the best way for YOU to solve problems.
For more information, please email me (Mitch Hunt) at [email protected].
Student Review #1
Student Review #2
Student Review #3
