In a certain town 25 % families own a cell phone, 15 % families own...

In a certain town

25

% families own a cell phone,

15

% families own a scooter and

65

% families own neither a cell phone nor a scooter. If

1500

families own both a cell phone and a scooter, then the total number of families in the town is In a certain town 25 % families own a cell phone, 15 % families own a scooter and 65 % families own neither a cell

In a certain town 25 % families own a cell phone, 15 % families own a scooter and 65 % families own neither a cell

Options

A $10000$
B $20000$
C $30000$
D $40000$

Correct answer

C. $30000$

Step-by-step solution

Let the total population of town be

x

∴ \dfrac{25x}{100} + \dfrac{15x}{100} - 1500 + \dfrac{65x}{100} = x

⇒ \dfrac{105x}{100} - x = 1500

⇒ \dfrac{5x}{100} = 1500

⇒ x = 30000

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