Question

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

• A. $10,000$
• B. $20,000$
• C. $30,000$
• D. $40,000$

Answer 1

Answer: (C)

$30,000$

Answer 2

Let the total population of town be $x$ .
$\therefore$ $\frac{25x}{100}+\frac{15x}{100}-1500+\frac{65x}{100}=x$
$\Rightarrow$ $\frac{105x}{100}-x=1500$
$\Rightarrow$ $\frac{5x}{100}=1500$
$\Rightarrow$ $x=30000$