What is percentage ?
In mathematics, a percentage is a number or ratio that can be expressed as a fraction of 100. If we have to calculate percent of a number, divide the number by whole and multiply by 100.
Hence, the percentage means, a part per hundred. The word per cent means per 100. It represented by the symbol “%”
How to convert the given quantity as percentage ?
To convert the fraction or decimal to percentage, we will multiply it by 100%.
Problem 1 :
Bob has a collection of 450 pens. If he gave 90 pens to his friend Jenny, find the percent of pens left with Bob?
Solution :
Number of pens that Bob has = 450 pens
Number of pens given to his friend = 90
Number of pens left = 450 – 90
= 360 pens
Number of pens left out of the total pen = 360/450
The percent of pens left = (360/450) × 100
= 8% pens
So, the percent of pens is 8% pens is left.
Problem 2 :
How much percentage of a month is a day?
[Take 1 month = 30 days]
Solution :
1 month = 30 days
= 1 day : 30 days
= 1/30
The percentage of a month of a day = (1/30)×100%
= 10/3 %
So, percentage of month is 10/3%.
Problem 3 :
A rectangular tank is filled with kerosene up to 1/3 of its height. Find the percentage of kerosene in the tank.
Solution :
Let h be the height of the tank.
Height reached by kerosene = 1/3 of h
Ratio between the new height to original height.
= 1/3 of h : h
= h/3 : h
= 1/3 : 1
Fractional part kerosene comparing the original = 1/3
The percentage
of kerosene in the tank = 1/3 x 100%
= 100/3
= 33.3%
So, the percentage of kerosene in the tank is 33.3 %.
Problem 4 :
In a test, if 30% marks are required to clear the test and Mary has scored 50 marks out of 120, will she clear the test?
Solution :
Required percentage to clear the test = 30%.
Mary has scored = 50 marks out of 120
= 50/120
Converting it as percentage, we get
= (50/120) x 100%
= 41.66%
So, she can clear the test.
Problem 5 :
Walter has a collection of 56 stamps out of which he gave one-fourth to his friend. Find the percentage of stamps given by Walter to his friend?
Solution :
Number of stamps he has = 56
Number of stamps he is giving to his friend = 1/4 of 56
= 1/4 x 56
= 14
Percentage of stamps given to his friend = (14/56) x 100%
= (1/4) x 100%
= 25%
Problem 6 :
Jack, Ryan and Susan study in three different schools and scored the following marks in math test :
a) Jack – 40/60
b) Ryan – 33/55
c) Susan – 52/65
Can you identify and tell who has performed better?
Solution :
a) Jack's score – 40/60
Converting it as percentage, we get
= (40/60) × 100 %
= (4/6) × 100 %
= 66.67 %
Jack has scored 66.67 % .
b) Ryan's score = 33/55
Converting it as percentage, we get
= (33/55) × 100%
= 60%
Ryan has scored 60% .
c) Susan = 52/65
Converting it as percentage, we get
= (52/65) × 100 %
= 80%
Susan has scored 80% .
So, Susan has performed better in the school.
May 21, 24 08:51 PM
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