Of the employees at a certain international firm, 40 percent

Question

Of the employees at a certain international firm, 40 percent have a business degree and 80 percent speak French. If each employee at the firm either has a business degree or speaks French or both, what percent of the employees who have a business degree also speak French?

(A) 10%
(B) 30%
(C) 40%
(D) 50%
(E) 80%

(A) 10%
(B) 30%
(C) 40%
(D) 50%
(E) 80%

Ayeka · Answer

(People who have business degree) A=40 %
(People who speak french) B=80 %
People who speak french or have business degree = y = 100% 
y = A+B - who have business degree and speak french 
100 =40+80- x 
x=120-100=20 % 
People who only have business degree= 40-20=20 % 
percent of the employees who have a business degree also speak French= (20/40)*100=50 %

D

gmatophobia · Answer

Assume number of employees = 100

Plotting the information in a matrix as shown below -

French 
 Not French

Business Degree  
 40 - 20 = 20 
 20 - 0 = 20 
 40%*100 = 40 
 
   Not Business Degree  
 80 - 20 = 60 
 0 
 100 - 40 = 60

100 * 80% = 80 
 100 - 80 = 20

Number of employees who have business degree and speak french = 20

Number of employees who have business degree = 40

Percentage =  \frac{20}{40} * 100 = 50%

Option D

Bunuel · Answer

{Total} = {Business degree} + {French} - {Both}

100 = 40 + 80 - {Both}

{Both} = 20

Question:  what percent of the employees who have a business degree also speak French?

So, we need {Both}/{Business degree} * 100, which is 20/40 * 100 = 50%.

Answer: D.

Of the employees at a certain international firm, 40 percent

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	French	Not French
Business Degree	40 - 20 = 20	20 - 0 = 20	40%*100 = 40
Not Business Degree	80 - 20 = 60	0	100 - 40 = 60
	100 * 80% = 80	100 - 80 = 20

GMAT Problem Solving (PS) Questions

Of the employees at a certain international firm, 40 percent

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