11. Five mark example problems IV

In a residential area with \(600\) families \(\frac{3}{5}\) owned scooter, \(\frac{1}{3}\) owned car, \(\frac{1}{4}\) owned bicycle, \(120\) families owned scooter and car, \(86\) owned car and bicycle while \(90\) families owned scooter and bicycle. If \(\frac{2}{15}\) of families owned all the three types of vehicles, then 

 

(i) The number of families owned atleast two types of vehicles \(=\)

 

(ii) The number of families owned no vehicle \(=\)