g.shankaran wrote:of the 800 employees company x, 70 percent have been with the company for atleast ten yrs. if y of those long-term members were to retire and no other employee changes were to occur, what value of y would reduce the percent of "long-term" employees in the company to 60 percent.
1. 200
2. 160
3. 80
4. 112
5. 56
Number of long term employees = .7*800 = 560.
We can plug in the answers, which represent the number of long-term employees who must leave.
Since all the values in the problem are multiples of 10, the correct answer also will be a multiple of 10. Eliminate D and E.
The remaining answer choices are 80, 160, and 200.
Answer choice B: 160.
Reduced long-term = 560-160 = 400.
Reduced total = 800-160 = 640.
Reduced percent long-term = 400/640 * 100 = 66.67%.
Too high.
Eliminate B.
More long-term employees must leave.
The correct answer is
A.
To determine the correct answer, we had to plug in only one answer choice.
Very efficient.
A straightforward algebraic approach:
Since 70% are long-term employees, .3*800 = 240 employees are not long-term.
These 240 employees must be 40% of the total number after the long-term employees have left:
240 = .4x
x = 240/.4 = 600.
Since there are 600 employees remaining, 800-600 = 200 must have left.
The correct answer is
A.
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