Students can use this worksheet on Increase Percentage while practicing for their examinations or any other competitive tests. This Worksheet on Percentage Increase contains the concept increase in the percentage. As we know that percentage means per hundred which is used to share the amount in terms of hundred. In this Increase Percent Worksheet, you can find about how to solve the questions on increase percentage. In the below sections, you can find how to calculate increase percent along with solved examples and understand the concept better.
To know more such related concepts of Percentages you can refer to the Percentage Worksheets available on our site and get a good hold of the concept.
How to Calculate Percentage Increase?
To calculate Increase Percentage, First, we will find the difference between the original number and the new number.
Increase = Original number – New number.
After that, we will divide the number(increase) by the original number. And then to convert into a percentage, we will multiply the number by 100. We will calculate the %Increase by using the formula
%increase = increase / original number × 100
By this method, you can calculate the increase in the percentage. In the below, you can see some of the solved examples on Increase Percentage.
1. Find out the Increase Percentage of the given below:
(i) 50 by 5%
(ii) 90 by 20%
(iii) 60 by 15%
(iv) 32 by 8%
Solution:
(i) 50 by 5%
The given value is 50 by 5%,
As the number 50 was increased by 5%,
So, first, we will find the new number,
As a new number= 50 + increased percentage,
which means
= 50 + (5% ×50)
on solving we will get 52.5.
(ii) 90 by 20%
The given value is 90 by 20%,
As the number 90 was increased by 20%,
So first, we will find the new number,
As a new number= 90 + increased percentage,
which means
= 90 + (20% ×90)
on solving we will get 108.
(iii) 60 by 15%
The given value is 60 by 15%,
As the number 60 was increased by 15%,
So, first, we will find the new number,
As a new number= 60 + increased percentage,
which means
= 60 + (15% ×60)
on solving we will get 69.
(iv) 32 by 8%
The given value is 32 by 8%,
As the number 32 was increased by 8%,
So, first, we will find the new number,
As a new number= 32 + increased percentage,
which means
= 32 + (8% ×32)
on solving we will get 34.56.
2. Solve out the number when increased by:
(i) 2.6% becomes 520
(ii) 25% becomes 1000
(iii) 33% becomes 1650
Solution:
(i) 2.6% becomes 2052
Here, we should find out the number,
So the number be X
as given 2.6% was increased,
So, increased number= X +(2.6% × X), on solving we will get
= 1.026X
given that the number which when increased by 2.6% becomes 2052, which means
1.026X =2052, on solving we will get
X = 2,000.
(ii) 25% becomes 1000
Here, we should find out the number,
So the number be X
as given 25% was increased,
So, increased number= X +(25% × X), on solving we will get
= 1.25X
given that the number which when increased by 25% becomes 1000, which means
1.25X =1000, on solving we will get
X = 800.
(iii) 33% becomes 6650
Here, we should find out the number,
So the number be X
as given 33% was increased,
So, increased number= X +(33% × X), on solving we will get
= 1.33X
given that the number which when increased by 1.33% becomes 6,650, which means
1.33X =6,650, on solving we will get
X = 5,000.
3. In a class the strength of the girl students increased from 30 to 42. What is the percentage increased?
Solution:
First, we will find the increased number 42-30= 12,
then we will find the % of the increased
= 12/30 ×100
on solving 40%
So, the increased percentage is 40%.
4. What number must the given number be multiplied to increase the number by 30%.
Solution:
Let the number be X,
as X is increased by 30%, which means
X + 30% × X, on solving we will get 1.3X.
So, the number to be multiplied by 1.3.
5. Mike’s salary was increased by 15% on his salary. If Mike’s new salary is Rs 65,000, find his previous salary.
Solution:
Let the previous salary be X,
Mike’s salary was increased by 15%, which means
15% of X,
To find the new salary, we will add the previous salary and the increment,
which means
New salary = Pervious salary + Increment,
X + 15% of X = 65,000, on solving we will get
= Rs 56,521.74.
So the previous salary is Rs 56,521.74.