Of the 200 employees in a certain company, 25 percent will

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Of the 200 employees in a certain company, 25 percent will [#permalink]

26 Feb 2012, 15:29

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88% (02:19) correct

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based on 2 sessions

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

Just can't get this right. Any idea how to solve please?

[Reveal] Spoiler: OA

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Re: Relocation [#permalink]

26 Feb 2012, 15:50

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enigma123 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

Just can't get this right. Any idea how to solve please?

120 prefer X (Group 1);
80 prefer Y (Group 2).

City Y needs 150 people: let all 80 who prefer Y (entire Group 2) be relocated there, the rest 70 will be those who prefer X from Group 1;
City X needs 50 people: 120-70=50 from Group 1 will be relocated to X, which they prefer.

So, the highest possible number of employees who will be relocated to the city they prefer is 80+50=130.

Answer: D.
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Re: Relocation [#permalink] 26 Feb 2012, 15:50

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Of the 200 employees in a certain company, 25 percent will

Of the 200 employees in a certain company, 25 percent will

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