FINDING PERCENTAGE OF A GIVEN QUANTITY

Find :

Example 1 :

20% of $36

Solution :

Given, 20% of $36

20% of $36  =  (20/100) × 36

=  $7.20

So, The value is $7.20

Example 2 :

36% of €4200

Solution :

Given, 36% of €4200

36% of €4200  =  (36/100) × 4200

=  €1512

So, the value is €1512

Example 3  :

5% of 18m (in cm)

Solution :

Given, 5% of 18 m (in cm)

We know that,

1 m  =  100 cm

18 m  =  1800 cm

5% of 1800 cm  =  (5/100) × 1800

=  90 cm

So, the answer is 90 cm

Example 4 :

125% of ₤600

Solution :

Given, 125% of ₤600

125% of ₤600  =  (125/100) × 600

=  ₤750

So, the value is ₤750

Example 5 :

22% of 1 tonne (in kg)

Solution :

Given, 22% of 1 tonne (in kg)

We know that,

1 tonne  =  1000 kilograms

22% of 1000 kg  =  (22/100) × 1000

=  220 kg

So, the answer is 220 kg

Example 6 :

72% of 3 hours (in min)

Solution :

Given, 72% of 3 hours (in min)

We know that,

1 hour  =  60 minutes

3 hours  =  180 minutes

72% of 180 min  =  (72/100) × 180

=  129.6 min

So, the answer is 129.6 min

Example 7 :

7 1/2% of 12 hours (in min)

Solution :

Given, 7 1/2% of 12 hours (in min)

7 1/2 is improper fraction to convert proper fraction.

We get,

7 1/2  =  15/2

We know that,

1 hour  =  60 minutes

12 hours  =  720 minutes

15/2% of 720 min  =  [(15/2)/100] × 720

=  15/200 × 720

=  54 min

So, the answer is 54 min

Example 8 :

3.8% of 12 m (in mm)

Solution :

Given, 3.8% of 12 m (in mm) 

We know that,

1 m  =  1000 mm

12 m  =  12000 mm

3.8% of 12000 mm  =  3.8/100 × 12000

=  456 mm

So, the answer is 456 mm.

Example 9 :

95% of 5 tonnes (in tonnes)

Solution :

Given, 95% of 5 tonnes (in tonnes)

95% of 5 tonnes  =  95/100 × 5

=  4.75 tonnes

So, the answer is 4.75 tonnes.

Example 10 :

108% of 5000 kg (in tonnes)

Solution :

Given, 108% of 5000 kg (in tonnes)

We Know that,

1 kilogram  =  0.001 tonne

5000 kg  =  5 tonnes

108% of 5 tonnes  =  108/100) × 5

=  5.4 tonnes

So, the answer is 5.4 tonnes.

Example 11 :

A school football team plays 25 games in a season. They win 17, draw 2 and lose the rest. Express the numbers won, drawn and lost as percentages of the total number, of games played.

Solution :

Total number of games played = 25

Number of games win = 17

Number of games draw = 2

number of games loose = 25 - (17 + 2)

= 25 - 19

= 6

Percentage of games won = (17/25) x 100%

= (17 x 4)%

= 68%

Percentage of games draw = (2/25) x 100%

= (2 x 4)%

= 8%

Percentage of games loose = (6/25) x 100%

= (17 x 4)%

= 24%

Example 12 :

An airline has a fleet of 80 planes. Of these, 10 are being serviced at anyone time. What percentage of the fleet is available for flights?

Solution :

Total number of planes = 80

Number of planes serviced = 10

Percentage of planes serviced = (10/80) x 100%

= 12.5%

percentage of the fleet is available for flights is approximately 13%.

Example 13 :

A car manufacturer produces 175000 sports cars a year. They are only available in white, black and red. 52500 are white, 78750 are black and the rest are red.

a) What percentage of the cars are black?

b) What percentage are white?

c) What percentage are red?

Solution :

Number of car produces = 175000

Number of white car = 52500

Number of black cars = 78750

Number of red cars = 175000 - (52500 + 78750)

= 175000 - (52500 + 78750)

= 175000 - 131250

= 43750

Percentage of black car produced

= (78750/175000) x 100%

= 0.45 x 100%

= 45%

Percentage of white car produced

= (52500/175000) x 100%

= 0.3 x 100%

= 30%

Percentage of white red produced

= 100 - (45 + 30)

= 100 - 75

= 25%

Example 14 :

Afarmer produced 8000 tonnes of grain last year. He plans to increase this by 15% next year. How many tonnes does he think he will produce?

Solution :

Quantity of grain last year = 8000 tonnes

Percentage increase = 15%

Quantity he will produce = 115% of 8000

= 1.15(8000)

= 9200

Example 15 :

A winter coat is priced at $250 but is discounted by 15% in a sale. What is the sale price?

Solution :

Original price of coat = 250

Discount percentage = 15%

Cost of coat after discount = 85% of 250

= 0.85(250)

= 212.5

Approximately $213.

Example 16 :

A builder charges $2000 plus 15% tax to fit a new kitchen. What is the total price of fitting the kitchen?

Solution :

Original price = 2000

Tax = 15%

Total price with tax = 115% of 2000

= 1.15(2000)

= 2300

So, the required cost is $2300.

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