Of the employees at a company, 60 percent were men and, of these

Question

Of the employees at a company, 60 percent were men and, of these,  \frac{1}{10}  were still employed after a recent corporate restructuring. If the number of women who were still employed after the restructuring was five times the number of men who were employed after it, what percent of the women were still employed after the restructuring?

A. 6%
B. 20%
C. 30%
D. 50%
E. 75%

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Dereno · Answer

Let the number of employees in a company is 100.

60% of the employees = 60%*100 = 60

Remaining employees = (100-60) = 40.

40 employees are women.

(1/10) of 60 are employed post restructuring = 6 men are employed.

The number of women employed post restructuring = 5* 6 = 30 women.

The fraction of women who are employed to the total number of women = 30/40

=  75%

Option E

Nitish03 · Answer

Let total number of employees be 100.
60% of employee were mentioned = 60
Hence , remaining 40 were women.

After restructuring:
Out of 60 men , 1/6th were still employed = 6 men

Given that , the number of women who were still employed after the restructuring was five times the number of men.

Hence , No.of women after restructuring= 6*5 = 30
Therefore, percentage of women employed post restructuring = 30/100(% of women out of total employees) = 30%
Hence, option C

Of the employees at a company, 60 percent were men and, of these

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Of the employees at a company, 60 percent were men and, of these

Prep Toolkit

615 to 715 in 15 Days (Ria's Strategies)

More than Quant/Verbal Abilities: Speed vs. Accuracy

745 with Only Self-Prep and GMAT Club

From 555 to 765: 210-point Improvement

Perfect 805 Score Debrief by Julia

My Rewards