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

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30000

40000

10000

20000

answer is C.

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Detailed Solution

Let the total population of town be x
$∴ \frac{25 x}{100} + \frac{15 x}{100} - 1500 + \frac{65 x}{100} = x$

$\Rightarrow \frac{105 x}{100} - x = 1500$
$\Rightarrow x = 30000$

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