In a certain office , 72% of the workers prefer tea and 44% prefer coffee. If each of them prefers tea r coffee and
40 lie both , the total number of workers in the office is :
Let total number be `x` them
n(A) = `72/100 x` =` 18x/25` , n(B) = `44/100 x` = `11x/25` and n`(A nn B)` = 40
n`(A uu B)` = n(A) + n(B) - n`(A uu B)`
`rArr x = (18x)/(25) + (11x)/(25) - 40 rArr (29x)/(25) - x = 40 rArr (4x)/(25) = 40 rArr x = 250`
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