At a car park 50% of the vehicles perped werecars 30% were motorcyles

1.	At a car park 50% of the vehicles perped werecars 30% were motorcyles and the rest ofthe 40 vecheeles were vens:
Answer» (i) Calculate the NUMBER of motorcycles PARKED there. Ans) Let the number of total VEHICLES be "X" % of Vans = 100% - (% of cars + % of motorcycles) => 100% - ( 50% + 30%) => 100% - 80% = 20% 20% of total vehicles = 40 vans 20% of x = 40 $\dfrac{20}{100}$ of x = 40 x = 40 × $\dfrac{100}{20}$ x = 200 Therefore , the number of Motorcycles = 30% of 200 = $\dfrac{30 \times 20}{100}$ = 60 (ii)If 40 cars left the car park, what percentage of the vehicles parked there were cars? Ans) Number of cars = 50% of 200 = $\frac{50 \times 200}{100}$ = 100 cars % of cars = $\dfrac{\sf{number \: of \: cars \: remaining \times 100}}{\sf{numbers \: of \: vehicles \: remaning}}$ = $\dfrac{60 \times 100}{160}$ % = $\dfrac{75}{2}$ % = 37.5%