In a certain town 25% families own a cell phone , 15% own a scooter and 65% won neither a cell or scooter . If 500 families own both cell phone and scooter then the total no of families in the town is ?

The way i solved is let total no of families be x . Therefore x = x(25+15+65)/100 -500 . Therefore x comes out to be 10000 but the answer is given as 30000 . Pls help . Where am i going wrong ?

Dear Student, Answer you have arrived at is correct. 30000 is not the right answer. This is because if you take 35% of 30000 it is 10500 which should be equal to (25% of 30000 plus 15% of 30000) - 500 which is not coming. Where as if you check the same step for the answer that you have arrived at you will get these to be equal. So your answer is correct. Sunil Kumar, askIITians