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07 Dec 2018, 02:37
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Company A has twice as many employees as Company B, and the two companies have no employees in common. If 64 percent of the employees of Company A are women and 52 percent of the employees of Company B are women, what percent of all the employees of the two companies are women?
A. 54
B. 56
C. 58
D. 60
E. 62
A. 54
B. 56
C. 58
D. 60
E. 62
07 Dec 2018, 03:05
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Bunuel
Company A has twice as many employees as Company B, and the two companies have no employees in common. If 64 percent of the employees of Company A are women and 52 percent of the employees of Company B are women, what percent of all the employees of the two companies are women?
A. 54
B. 56
C. 58
D. 60
E. 62
A. 54
B. 56
C. 58
D. 60
E. 62
i solved it using 2x2 matrix, got option 60% , IMO D
lybeaver
Joined: 04 Jun 2018
Last visit: 03 Nov 2021
Posts: 25
Own Kudos:
Given Kudos: 37
Location: Viet Nam
Concentration: Strategy, Operations
Schools: Rotman '22 (A$)
GMAT 1: 610 Q47 V27
GMAT 2: 620 Q46 V29
GMAT 3: 680 Q47 V36
25 Aug 2019, 09:11
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A: Number of employees in company A
B: Number of employees in company B
Given A = 2B
=> Total employees of 2 companies = A+B = 2B+B = 3B
In company A, number of women =64%A = 64%*2B = 128%B
In company B, number of women = 52%B
% of all the employees of the two companies are women = (128%B + 52%B)/3B = 60%
B: Number of employees in company B
Given A = 2B
=> Total employees of 2 companies = A+B = 2B+B = 3B
In company A, number of women =64%A = 64%*2B = 128%B
In company B, number of women = 52%B
% of all the employees of the two companies are women = (128%B + 52%B)/3B = 60%
