# EXPRESSING A NUMBER AS A PERCENTQAGE OF ANOTHER

To express the number as percentage of other, we will follow the steps given below.

(i) Write the given quantities as fraction

(ii)  To convert the fraction as percentage, we will multiply it by 100%.

Problem 1 :

For every 50 students at Hightown School, 29 are girls.

(a) Work out 29 as a percentage of 50.

1000 students attend Hightown School.

(b) How many girls attend Hightown School?

Solution :

(a) Total number of students = 50, number of girls = 29

Expressing it as percentage = 29/50 (Out of 50, 29 are girls)

To convert 50 as 1000, we will multiply 50 by 20, so the numerator also be multiplied by 20. We get

= (29/50) ⋅ (20/20)

= 580/1000

So, 580 girls are there.

Problem 2 :

David receives \$5 from his Grandmother. He gives \$2 to his sister. Write down \$2 as a percentage of \$5.

Solution :

Money received from his grand mother = \$5

Amount given to his sister = \$2

Expressing it as percentage, we get

= (2/5) ⋅ 100%

= 40%

Problem 3 :

Roger scores 6 out of 8 in a quiz. Work out his score as a percentage.

Solution :

Total score = 8, He has scored = 6

Expressing it as percentage,

= (6/8) ⋅ 100%

= 75%

Problem 4 :

Susan brings 500 flapjacks to a local fair. Susan sells 450 of the flapjacks. What percentage of the flapjacks did Susan sell?

Solution :

Number of flapjacks = 500

Number of flapjack he sells = 450

Expressing it as percentage = (450/500) x 100%

= 90%

Problem 5 :

Write 94 out of 200 as a percentage.

Solution :

94 out of 200 = (90/200)

Expressing it as percentage = (90/200) x 100%

= 45%

Problem 6 :

Colin gains 13 out of 20 in a class test. Work out his mark as a percentage.

Solution :

Total score = 20

Collin gains = 13

Expressing as fraction = 13/20

Expressing as percentage = (13/20) x 100%

= (13 x 5) %

= 65%

Problem 7 :

There are 600 people at a football match. There 222 children at the match. Write 222 out of 600 as a percentage.

Solution :

Total number of people = 600

Number of children in the match = 222

Expressing as fraction, we get

= (222/600)

Expressing as percentage = (222/600) x 100%

= 37%

Problem 8 :

Bryan buys a car costing \$15000. He pays a deposit \$6000. What is \$6000 as a percentage of \$15000?

Solution :

Cost of car = \$15000

Deposit = \$6000

Expressing as percentage = (6000/15000) x 100%

= 40%

Problem 9 :

The price of a cinema ticket is reduced from \$8 to \$7.50 Calculate the reduction as a percentage of the original price

Solution :

Price of ticket = \$8

Price of ticket after reduction = \$7.50

Difference in price = 8 - 7.50

= 0.50

Expressing the reduction as percentage of original price

= (0.50/8) x 100%

= 6.25%

Problem 10 :

The population of a country is 2.85 x 10⁶. The number of people that own a rabbit is 1.24 x 10⁵. Calculate the percentage of the population that own a rabbit.

Solution :

Total population = 2.85 x 10⁶

People that own rabbit = 1.24 x 10⁵

Percentage of population that own rabbit

= (1.24 x 10⁵)/(2.85 x 10⁶) x 100%

= (124000/2850000) x 100%

= 4.35%

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