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In a town 25% families own a phone and 15% own a car, 65% families own neithers a phone nor a car. 2000 families own both a phone and a car. Consider the following statement in this regard.
(i) 10% families own both a car and a phone.
(ii) 35% families own either a car or a phone.
(iii) 40000 families live in the town.
Which of the above statement are correct ?
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- I and II
- I and III
- II and III
- I, II and III
Correct Option: C
Suppose N% familes own both a car and a phone, then
percentage of the families owing only a phone = 25 - N
Percentage of the families owing only a car = 15 - N
∴ (25 - N) +(15 - N) + N + 65 = 100
⇒ N = 5
Percentage of families who have either a car or a phone = (25 - 5) + (15 - 5) + 5 = 35
So, Statement ll is correct.
Now, suppose the total number of families in the town be A.
∴ (5 x A)/100 = 2000 ⇒ A = 40000
So, Statement lll is also correct.
