A survey was conducted among 200 users of mobile phones of different
companies. It was found that 160 use mobile phones of OnePlus, 100 use
mobile phones of Samsung and 90 use mobile phones of LG. 20 use mobile
phones of all three companies and each one uses mobile phones at least one
of the three companies. How many use mobile phones of only one company?
Answers
Given : A survey was conducted among 200 users of mobile phones of different companies. It was found that 160 use mobile phones of OnePlus, 100 use mobile phones of Samsung and 90 use mobile phones of LG. 20 use mobile phones of all three companies and each one uses mobile phones at least one of the three companies.
To Find : How many use mobile phones of only one company
Solution:
refer the Venn diagram :
(140 - a -b) +(80 - b - c) + (70 - a - c) + a + b + c + 20= 200
=> (a + b + c) = 110
=> a + b + c = 110
use mobile phones of only one company
= (140 - a -b) +(80 - b - c) + (70 - a - c)
= 290 - 2(a + b + c)
= 290 - 2(110)
= 70
70 use mobile phones of only one company
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