PERCENTS OF NUMBERS AND MONEY AMOUNTS
About "Percents of numbers and money amounts"
Percents of numbers and money amounts :
Here we are going to learn how to find percents of numbers.
Let us look into some example problems to understand the concept.
Example 1 :
Find the 20% of $50
Solution :
= 2
Hence 20% of 50 is 2.
Example 2 :
Find the 50% of $80
Solution :
50% of $80 = (50/100) x 80
= (1/2) x 80
= 40
Hence 50% of $80 is 40.
Example 3 :
Find the 23% of $80
Solution :
50% of $80 = (50/100) x 80
= (1/2) x 80
= 40
Hence 50% of $80 is 40.
Example 4 :
The percent of 20 minutes to 1 hour is
Solution :
Let "x" be the unknown percentage
1 hour = 60 minutes
x% of 60 minutes = 20
(x/100) x 60 = 20
(x/10) x 6 = 20
6x/10 = 20
Multiply by 10 on both sides
6x = 20 (10)
6x = 200
Divide by 6 on both sides
x = 200/6
x = 100/3 ==> 33 1/3 %
Hence 33 1/3 % of 1 hour is 20 minutes
Example 5 :
In a class of 35 students, 7 students were absent on a particular day. What percentage of the students were absent?
Solution :
Total number of students = 35
Number of students absent = 7
percentage of students absent
= (Number of students absent/total number of students) x 100
= (7/35) x 100
= (1/5) x 100
= 20%
Hence 20% of students were absent.
Example 6 :
Ram bought 36 mangoes. 5 mangoes were rotten. What is the percentage of the mangoes that were rotten?
Solution :
Total number of mangoes = 36
Number of rotten mangoes = 5
percentage of rotten mangoes = (5/36) x 100
= 13.89%
Hence 13.89% of mangoes were rotten out of 36 mangoes.
Example 7 :
In a class of 70, 60% are boys. Find the number of boys and girls.
Solution :
percentage of boys = 60%
percentage of girls = 40%
Total number of students = 70
Number of boys = 60% of 70
= (60/100) x 70
= 42
Number of girls = 40% of 70
= (40/100) x 70
= 28
Example 8 :
In 2010, the population of a town is 1,50,000. If it is increased by 10% in the next year, find the population in 2011.
Solution :
Population in 2010 = 150000
Increase in population = (10/100) x 150000
= 15000
Population in 2011 = 150000 + 15000
= 165000
Example 9 :
10% of $300 is
Solution :
= 10% of $300
= (10/100) x 300
= (1/10) x 300
= 30
Hence 10% of $300 is $30
Example 10 :
5% of $150 is
Solution :
= 5% of $150
= (5/100) x 150
= (1/20) x 150
= 15/2 ==> $7.5
Hence 5% of $150 is $7.5
After having gone through the stuff given above, we hope that the students would have understood "Percents of numbers and money amounts".
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