Latest Wipro Aptitude Question SOLUTION: In a certain office, 72% of the workers prefer tea and 44% prefer coffee. If each of them prefers tea or coffee and 40 like both, the total number of workres in the office is : a.

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In a certain office, 72% of the workers prefer tea and 44% prefer coffee. If each of them prefers tea or coffee and 40 like both, the total number of workres in the office is :

a. 200
b. 240
c. 250
d. 320

Asked In Wipro (12 years ago)

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Gyana Siva Sai Manikanta  (12 years ago)

Answer : (c) 250.
If the total no.of workers is 100 then 72 prefer tea and 44 prefer coffee.
n(Tea U Coffee) = n(Tea)+ n(Coffee) - n (Tea ^ Coffee)
100 = 72 + 44 - x (x: is workers who take both coffee and tea)
x = 116 - 100 = 16.
Therefore Out of 100 workers, 16 take both coffee and tea.
But as per the problem 40 take both coffee and tea

100 --- 16
? ----- 40
(40/16) * 100 = 250.

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Riya malaiya  (6 years ago)

those who not prefer both are =x-40
not prefer tea =100-72 = 28%
not prefer cofee = 100-44 = 56%
so total=84%
84% of x =x-40
40 = .16x
x=250

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Earshad  (6 years ago)

Ans:
250


(72%+44%)−100%=16%
16%=40
100%=40×100 /16 =250

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