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

  $10000$
• B

  $20000$
• Correct answer
  C

  $30000$
• D

  $40000$

Solution

Let the total population of town be $x$.



$\therefore \frac{25x}{100}+\frac{15x}{100}-1500+\frac{65x}{100}=x$

$\Rightarrow \frac{105x}{100}-x=1500$

$\Rightarrow \frac{5x}{100}=1500$

$\Rightarrow x=30000$

Hence, the correct answer is option: 'C'.