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Application of Percentage

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Last updated date: 17th Jul 2024
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What is Percentage: Introduction

The percentage formula is used to determine the quantity or percentage of anything in terms of 100. Percent simply means one in a hundred. A number between 0 and 1 may be expressed using the percentage formula.


As in 0.6%, 0.25%, etc., percentages can also be expressed as decimals or fractions. For every topic, academic grades are calculated using percentages. Ram, as an illustration, scored a 78% on his final test. This percentage is determined using Ram's overall cumulative grade point average (GPA).


We are going to learn more about the percentage in the further upcoming article.


Percentage


Percentage


Example of Percentage

Percentages haven't any dimension. Hence it's called a dimensionless number. If we say, \[50\% \]of variety , then it means 50 percent of its whole.


The most common example of percentage is your academic marks calculated in percentage. Like a student Ram has scored \[85\% \] in maths or we can say \[65\% \]in total. So the percentage calculated on the basics of marks obtained from the subject by the Ram.


Examples of percentages are:


Here are some percentages that are written in fraction. This will give you an idea about the fraction and the percentage.


\[10\% \]is adequate to \[\frac{1}{{10}}\] fraction

\[20\% \]is like \[\frac{1}{5}\] fraction

\[25\% \]is like \[\frac{1}{4}\] fraction

\[50\% \]is like \[\frac{1}{2}\] fraction

\[75\% \]is like \[\frac{3}{4}\] fraction

\[90\% \]is like \[\frac{9}{{10}}\] fraction


Application of Percentage

Percentage is application in all terms and everywhere like

  • Bank

  • Schools

  • Office

  • Census etc. It is a very common and well used term in every part of the situation and area.


Real Life Application of Percentage

In real life percentage is used in many places like

  • The bank gives some interest on the basics of percentage like \[2.5\% ,\].

  • The marks we obtained in the subject are also given in percentage etc.


All Formula of Percentage and its Application

Given are the formula of percentage that will help you to calculate the percentage.


Percentage Formula

To calculate the percentage we have to divide the value with total value and then multiply the same by 100.


Percentage formula = (Value/Total value) × 100

Example: \[\frac{5}{{10}} \times 100 = 50\] per cent

Hence, The Percentage is 50%


Chart Of Percentage

We can just go through the given chart to know the percentage of some basic fraction

Fractions

Percentage

\[\frac{1}{2}\]

50%

\[\frac{1}{3}\]

33.33%

\[\frac{1}{4}\]

25%

\[\frac{1}{5}\]

20%

\[\frac{1}{6}\]

16.66%

\[\frac{1}{7}\]

14.28%

\[\frac{1}{8}\]

12.5%


Application of Percentage

Example

1. If \[16\% \] of \[40\% \] of variety is \[8\], then find the amount .

Solution:

Let X be the specified number.

Therefore, as per the given question,

\[\frac{{16}}{{100}} \times \frac{{40}}{{100}} \times x = 8\]

So, \[x = \frac{{8 \times 100 \times 100}}{{16 \times 40}}\]

\[x = 125\]

Hence, The amount is 125.


2. What percentage of \[\frac{2}{7}\] is \[\frac{1}{{35}}\] ?

Solution:

Let X% of \[\frac{2}{7}\] is \[\frac{1}{{35}}\].

\[\therefore \left[ {\frac{{\frac{2}{7}}}{{100}}} \right] \times x = \frac{1}{{35}}\]

\[ \Rightarrow x = \frac{1}{{35}} \times \frac{7}{2} \times 100\]

\[ \Rightarrow 10\% \]

Hence, The Percentage is 10%.


Solved Questions

1. Which number is \[40\% \] less of \[90\]?

Required number \[ = {\rm{ }}60\% \]of 90

\[ \Rightarrow \frac{{90 \times 60}}{{100}}\]

\[ \Rightarrow 54\]

Therefore, the amount 54 is 40% less than 90.


2. A fruit seller had some oranges. He sells \[40\% \]oranges and still has \[420\] oranges. Originally, he had what number of oranges he has?

Let he had N oranges, originally.

Now, as per the given question, we have;

\[\left( {100{\rm{ }}-{\rm{ }}40} \right)\% {\rm{ }}of{\rm{ }}N{\rm{ }} = {\rm{ }}420\]

\[ \Rightarrow \frac{{60}}{{100}} \times N = 420\]

\[ \Rightarrow N = \frac{{420 \times 100}}{{60}} = 700\]

Hence, The total number of Oranges in 700.


Summary

In this article, we have studied the term "percentage." It is nothing but a single percentage, which tells how much that value covers the entire part. The most typical usage of percentage change in finance is to display a security's price change. Percentage change refers to the degree of change over time. The application of Percentage pdf can be downloaded online. A percentage change can be used to express any quantity that can be measured over time. We have also solved some examples and answered questions to better understand the topic.

FAQs on Application of Percentage

1. What  do you mean by percentage increase?

The original number is subtracted from the new number, divided by the original number, then multiplied by 100 to get the % increase.

[(New number - Original number)/Original number] = % increase x 100

where,

The new number minus the starting number equals an increase.

2. What  do you mean by percentage decrease?

A reduction in percentage is calculated by subtracting a new number from the original number, dividing that new number by the original number, and multiplying the result by 100.

(Original number - New number)/(Original number) Equals % reduction x 100

decreasing number where original number - new number

In other words, there is a percentage decrease if the response is negative.

3. Write down the real life examples of percentage formulas?

The real life example  of a percentage is calculating the income tax and many other types of tax on the basis of income and expenditure.