In a certain downtown office, 40 percent of the workers are men and 60

Question

In a certain downtown office, 40 percent of the workers are men and 60 percent are women. Of the male workers, 30 percent drive to work and the rest take the train, while all of the female workers drive to work. What percent of all the workers take the train to work?

A) 18%
B) 28%
C) 42%
D) 56%
E) 70%

A) 18%
B) 28%
C) 42%
D) 56%
E) 70%

EgmatQuantExpert · Answer

Solution

Given:  
• In an office, 40% workers are men and 60% are women
• Of the male workers, 30% drive to work and 70% take the train
• All female workers drive to work

To find:  
• What percent of the total workers travel by train

Approach and Working:   
If we assume the total number of workers to be x, then
• Men = 0.4x and Women = 0.6x
• Men, who drive to work = 0.4x * 0.3 = 0.12x
 o Hence, men who travel by train = 0.4x – 0.12x = 0.28x 
• As no female worker travel by train, total number of worker travel by train = 0.28x
• Hence, the required percentage =  \frac{0.28x}{x}  * 100 = 28%

Hence, the correct answer is option B.

Answer: B

Note: Calculation will become much simple if we assume total number of workers as 100.

Nanobotstv · Answer

"@EgmatQuantExpert" Thanks for the explanation.

SSM700plus · Answer

Given -  
40% of workers are men . Total Men = 40.
60% are women. Total Women = 60.
all of the female workers drive to work = Women Who Drive = 60.
Of 40% males, 30% drive.

Calculation 
It means Of 40, 30% drive =  \frac{30}{100}*40  = 12
Men who travels by train - 12%. Remaining = 40-12 = 28%.
Same can be understood well using below table.

Text    Drive    Train    Total      Men   12  28  40     Women   60  0  60     Total   72  28  100   .

Total workers who take train = male who take train = 28%.

Ans B

CAMANISHPARMAR · Answer

Pick smart number 100 and draw the table:-

SSM700plus · Answer

I think you have interchanged the rows for drive and train.

Please have a look at it.

ScottTargetTestPrep · Answer

We can let the total number of workers = 100.

Thus, we have 40 men, and 0.7 x 40 = 28 of them take the train. Since no women take the train to work, the percent of workers who take the train to work is 28/100 = 28%.

Answer: B

GMATinsight · Answer

In such questions, the best way forward is to take smart number

Let, Total Manpower in Office = 100
Men = 40
Women = 60

i.e. Driving Male = 30% of 40 = 12
i.e. Male taking train = 70% of 40 = 28

i.e. Driving Female = 100% of 60 = 60
i.e. Female taking train = 0% of 60 = 0

Total People taking Train =  28 + 0  = 28 (out of 100 people) =   28%

Answer: Option B

DanTheGMATMan · Answer

Classic overlapping sets:

https://www.youtube.com/watch?v=tR9Op5VlYrM

bumpbot · Answer

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In a certain downtown office, 40 percent of the workers are men and 60

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In a certain downtown office, 40 percent of the workers are men and 60

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