In a certain group of families living together in a certain locality of Bangalore, 35% families own a smart
television and 25% own a luxury hutch-back. 55% families own neither a smart television nor a luxury
hutch-back. 15 families own both a smart television and a luxury hutch-back. How many families are there
in the group?
Answers
Answered by
3
may be 15 or 55 families
Answered by
21
Total number of families = x nos.
Families owning smart television = 35/100
Families owning luxury hutch-back = 25/100
Families owning both smart television and hutch-back = 15
Families owning neither smart television nor hutch-back =55/100
Total number of families = (smart tv owners + hutch-back owners) - (families owning both) + (families owning neither)
∴ x = (35 + 25) - (15) + (55)
⇒x = 60 - 15 + 55
⇒x = 45 + 55
⇒x = 100
The total number of families in the locality = 100 families.
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