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16 Sep 2014, 00:38
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If 20% of employees are women with fair hair and 40% of fair-haired employees are women, what percent of employees have fair hair?
A. 25
B. 30
C. 45
D. 50
E. 60
A. 25
B. 30
C. 45
D. 50
E. 60
16 Sep 2014, 00:38
Kudos
Bookmarks
Official Solution:
If 20% of employees are women with fair hair and 40% of fair-haired employees are women, what percent of employees have fair hair?
A. 25
B. 30
C. 45
D. 50
E. 60
Let's break it down:
1. 20% of the employees are fair-haired women.
2. Among those with fair hair, 40% are women.
From the information:
Fair-Haired Women = 0.2 x Total Employees = 0.4 x Fair-Haired Employees.
Dividing 0.2 x Total Employees = 0.4 x Fair-Haired Employees by 0.4, we get 0.5 x Total Employees = Fair-Haired Employees.
Therefore, Fair-Haired Employees make up 50% of the total employees.
Answer: D
If 20% of employees are women with fair hair and 40% of fair-haired employees are women, what percent of employees have fair hair?
A. 25
B. 30
C. 45
D. 50
E. 60
Let's break it down:
1. 20% of the employees are fair-haired women.
2. Among those with fair hair, 40% are women.
From the information:
Fair-Haired Women = 0.2 x Total Employees = 0.4 x Fair-Haired Employees.
Dividing 0.2 x Total Employees = 0.4 x Fair-Haired Employees by 0.4, we get 0.5 x Total Employees = Fair-Haired Employees.
Therefore, Fair-Haired Employees make up 50% of the total employees.
Answer: D
02 Oct 2016, 06:36
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Bunuel
Quote:
Let total number of employees be 1000
So, women with fair hair = 200
Quote:
Let total number of fair-haired employees be " f "
So, 40% of f = 200
\(\frac{40}{100}f = 200\)
So, \(f = 500\)
Quote:
= \(\frac{500}{1000} *100\) = \(50\)%
Thus answer will be (D)
