Question

11. At a car park, 50% of the vehicles parked were cars, 30% were motorcycles and the rest of the
40 vehicles were vans.
(i) Calculate the number of motorcycles parked there.
(ii) If 40 cars left the car park, what percentage of the vehicles parked there were cars.
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Answer 1

Answer:

(i) 60 motorbikes

Step-by-step explanation:

Given,

%age of cars=50%

%age of bikes=30%

so, %age of vans will be 20%

No.of vans=40

Now we can find total no of vehicles in car park

Let the total no of vehile in car park=x

20% of x=40

20/100X x =40

1/5X x =40

x=40X5

x=200

therefore,total no of vehicles are 200

(i) no of motorbikes=30% of 200

=>30/100X200

=>60 bikes

Thanks....

Answer 2

(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%