To express one quantity as a percentage of another, we follow the steps given below.
Step 1 :
Write the given quantities as fraction.
Step 2 :
To convert a fraction or decimal to percentage, we have to multiply by 100%.
Problem 1 :
For every 50 students at Hightown School, 29 are girls.
(a) Work out 29 as a percentage of 50.
(b) 1000 students attend Hightown School. How many girls attend Hightown School?
Solution :
Total number of students = 50
Number of girls = 29
a) Percentage of girls = (29/50) x 100%
= (29 x 2)%
= 58%
b) Number of students attend in Hightown school = 1000
= 58% of 1000
= 0.58 x 1000
= 580
So, total number of girls in total of 1000 students is 580.
Another way :
= (29/50)
Express the denominator 50 as 1000, then multiplying by 100% we can convert as percentage.
= (29/50) x (20/20)
= 580/1000
So, total of 1000 students 580 students are girls.
Problem 2 :
David receives $5 from his Grandmother. He gives $2 to his sister. Write down $2 as a percentage of $5
Solution :
Amount David receives = $5
Amount he is giving to his sister = $2
Expressing it as percentage = (2/5) x 100%
= 2 x 20%
= 40%
So, 40% of money he gives to his sister.
Problem 3 :
Roger scores 6 out of 8 in a quiz. Work out his score as a percentage
Solution :
Total number of questions in the quiz = 8
Number question he did correctly = 6
Expressing it as percentage = (6/8) x 100%
= 75%
So, he scores 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 :
Total number of flapjacks he brings = 500
Number of flapjacks he sells = 450
Percentage of flapjacks he sells = (450/500) x 100%
= (450/5)%
= 90%
Problem 5 :
Write 94 out of 200 as a percentage
Solution :
Total marks = 200
She has received = 94
Percentage of marks = (94/200) x 100%
= (94/2) %
= 47 %
Problem 6 :
Colin gains 13 out of 20 in a class test. Work out his mark as a percentage
Solution :
Total score = 20
Collin's score = 13
Expressing into fraction = 13/20
Expressing it 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 at match = 222
Writing 222 out of 600 as a 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
He deposits = $6000
Expressing into percentage = (6000/15000) x 100%
= (6/15) x 100%
= 40%
So, 40% of the amount he is paying as deposit.
Problem 9 :
There are 400 beads in a bag. 140 of the 400 beads are yellow. Work out 140 as a percentage of 400
Solution :
Total number of beads = 400
Number of yellow beads = 140
Expressing it as percentage of yellow beads
= (140/400) x 100%
= 35%
Problem 10 :
James scored 30 out of 90 in a music test. He scored 48 out of 150 in a drama test. James scored 35 out of 120 in an art test. In which test did James score the highest percentage? You must show your workings
Solution :
Percentage in music test :
= (30/90) x 100%
= 33.3%
Percentage in drama test :
= (48/150) x 100%
= 32%
Percentage in art test :
= (35/120) x 100%
= 29.1%
Observing the above percentages, in music test he got high score.
May 21, 24 08:51 PM
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