Question

In a recent survey of 500 employees in a company, it was found that 60% of the employees prefer coffee over tea, 25% prefer tea over coffee, and the remaining 15% have no preference. If 20% of the employees who prefer coffee are also tea drinkers, how many employees prefer only tea?

• A. 75
• B. 65
• C. 50
• D. 55

Hint:

When dealing with overlapping preferences, treat it like a Venn diagram: subtract the intersection to get the exclusive group.

Answer 1

The Correct Option is B

Step 1: Total number of employees = 500 
Coffee lovers = 60% of 500 = 300 
Tea lovers = 25% of 500 = 125 
No preference = 15% of 500 = 75 
Step 2: 20% of coffee lovers also prefer tea 
\[ 20% { of } 300 = 60 \quad \Rightarrow {Prefer both coffee and tea} = 60 \] Step 3: Only tea = Total tea - Both coffee and tea 
\[ 125 - 60 = \boxed{65} \]