Question

In a town 25% families own a phone and 15% own a car. 65% families own neither a phone nor a car. 2000 families own both a phone and a car. Consider the following statements in this regard: 

1. 10% families own both a car and a phone 

2. 35% families own either a car or a phone 

3. 40,000 families live in the town

 Which of the above statements are correct? 

(a) 1 and 2 (b) 1 and 3 (c) 2 and 3 (d) 1, 2 and 3

Answer 1

(c) Suppose x% families own both a car and a phone,

then percentage of the families owing only a phone = 25 – x

Percentage of the families owing only a car = 15 – x

 ∴ Now, (25 – x) + (15 – x) + x + 65 = 100 

x = 5

Percentage of families who have either a car or a phone

= (25 – 5) + (15 –5) + 5 = 35

So statement (2) is correct.

Let the total number of families in the town be y.

So statement (3) is also correct.