Question

in parking lot, 0.824 of the 125 vehicles were motorcycles and the rest were cars. how many cars were there?​

Answer 1

Answer:

105

Step-by-step explanation:

Let the no. of cars be x

A.T.Q

0.824 of 125 = no.of motorcycles

Therefore , 824/1000 ×25 = no.of motorcycles

⇒824/40=no.of motorcycles

⇒20.6=no.of motorcycles

⇒20≈no.of motorcycles

Thereffore, x = 125-20

⇒x=105

Hope it helped you :))

Answer 2

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}

100

20

of x = 40

x = 40 × \dfrac{100}{20}

20

100

x = 200

Therefore , the number of Motorcycles = 30% of 200

= \dfrac{30 \times 20}{100}

100

30×20

= 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

50×200

= 100 cars

% of cars = \dfrac{\sf{number \: of \: cars \: remaining \times 100}}{\sf{numbers \: of \: vehicles \: remaning}}

numbersofvehiclesremaning

numberofcarsremaining×100

= \dfrac{60 \times 100}{160}

160

60×100

%

= \dfrac{75}{2}

2

75

%

= 37.5%