In a company 55% of workers drink tea, 45% drink coffee and 40% drink. Milk 21% of workers drink tea and milk both, 20% drink coffee and milk both, 25% of workers tea and coffee both. 15% of workers drink all three beverages. Find the percentage of workers who do not like any of three beverages.
Answers
Given : In a company 55% of workers drink tea, 45% drink coffee and 40% drink. Milk 21% of workers drink tea and milk both, 20% drink coffee and milk both, 25% of workers tea and coffee both. 15% of workers drink all three beverages.
To find : percentage of workers who do not like any of three beverages.
Solution:
Drink Tea T = 55 %
Drink Coffee C = 45 %
Drink Milk M = 40 %
Tea & Milk Both T ∩ M = 21 %
Coffee & Milk Both C ∩ M = 20 %
Tea & Coffee both T ∩ C = 25 %
Drink all three T ∩ M ∩ C = 15 %
do not like any of three beverages. None = N %
Total = 100 %
Total = T + C + M - T ∩ M - C ∩ M - T ∩ C + T ∩ M ∩ C + None
=> 100 = 55 + 45 + 40 - 21 - 20 - 25 + 15 + None
=> None = 11 %
11 % workers do not like any of three beverages.
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