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29 Aug 2017, 23:44
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B
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Difficulty:
35%
(medium)
Question Stats:
78% (02:34) correct
22%
(03:01)
wrong
based on 236
sessions
History
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Not Attempted Yet
At a technology firm, employees are categorizes as either engineers or non-engineers. 80% of the engineers have a masters degree and 55% of the non-engineers have a masters degree. If 70% of all employees have a masters degree, what percent of all employees are engineers?
A. 55%
B. 60%
C. 65%
D. 70%
E. 75%
A. 55%
B. 60%
C. 65%
D. 70%
E. 75%
Luckisnoexcuse
Current Student
Joined: 18 Aug 2016
Last visit: 31 Mar 2026
Posts: 513
Given Kudos: 198
Concentration: Strategy, Technology
Schools: Kenan-Flagler '20 (M)
GMAT 1: 630 Q47 V29
GMAT 2: 740 Q51 V38
Products:
Updated on: 30 Aug 2017, 01:07
Originally posted by Luckisnoexcuse on 30 Aug 2017, 00:28.
Last edited by Luckisnoexcuse on 30 Aug 2017, 01:07, edited 1 time in total.
Last edited by Luckisnoexcuse on 30 Aug 2017, 01:07, edited 1 time in total.
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Bunuel
...................M..............NM..............Total
E...............0.8x............0.2x...............x
NE............0.55y...........0.45y..............y
Total.....0.8x+0.55y....0.2x+0.45y.......x+y
\(0.8x+0.55y = 0.7(x+y)\)
\(0.1x = 0.15y\)
\(x=1.5y\)
Since we have to calculate the % of engineers from all employees..eqn would be x/(x+y)
\(1.5y/(1.5y+y)\)
1.5/2.5 = 60%
B
02 Sep 2017, 07:11
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Bunuel
We can let the total employees = 100.
Thus, 70 have a master’s degree and 30 do not.
We can let n = the number of engineers and create the following equation:
0.8n + 0.55(100 - n) = 70
0.8n + 55 - 0.55n = 70
0.25n = 15
n = 60
Thus, engineers are 60% of the employees.
Answer: B
