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There is a shortage of tubelights, bulbs and fans in a
village - Kharghar. It is found that
? All houses do not have either tubelight or bulb or fan.
? exactly 19% of houses do not have just one of these.
? atleast 67% of houses do not have tubelights.
? atleast 83% of houses do not have bulbs.
? atleast 73% of houses do not have fans.
What percentage of houses do not have tubelight, bulb and fan?
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Answer Posted / phaniram
(T u B u F) = T + B + F - (T u B) - (B u F) - (F u T) + (T
i B i F)
Where: T is Tubelight
B is bulb
F is Fan
u is Union
i is Intersection
Let (T u B) + (B u F) + (F u T) = P
and (T i B i F) = x
so, 100 = 67 + 83 + 73 - P + x
=> 100 = 223 - P + x ---> 1
It is given that, exactly 19% of houses do not have just
one of these
So, (T u B) + (B u F) + (F u T) - 2*(T i B i F) = (100 - 19)
P - 2x = 81
P = 81 + 2x
Replace the value of P in 1,
100 = 223 - 81 - 2x + x
x = 223 - 181
x = 42
| Is This Answer Correct ? | 14 Yes | 4 No |
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