Question

At a car park 50% of the vehicles perped were
cars 30% were motorcyles and the rest of
the 40 vecheeles were vens:​

Answer 1

(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%