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In a company, 80% of the employees drink coffee and 70% drink tea while 65% drink both tea and coffee. Find percentage of employees who do not drink either coffee or tea?

In a company, 80% of the employees drink coffee and 70% drink tea while 65% drink both tea and coffee. Find percentage of employees who do not drink either coffee or tea? Correct Answer 15%

Given,

Percentage of employees who drink coffee = 80%

Percentage of employees who drink tea = 70%

Percentage of employees who drink coffee and tea both = 65%

Formula:

n(Coffee ∪ Tea) = n(Coffee) + n(Tea) -n(Coffee ∩ Tea)

Calculation:

n(Coffee ∪ Tea) = n(Coffee)  + n(Tea) - n(Coffee ∩ Tea)

Total percentage of employees who drink both coffee and tea = 70 + 80 – 65 = 85%

∴ Total percentage of employees who do not drink either coffee or tea = 100 – 85 = 15% 

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