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
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
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 does 'percentage' fundamentally mean and what is the basic formula to calculate it?
The term 'percentage' literally means 'per hundred' or 'out of 100'. It is a way of expressing a number as a fraction of 100. The basic formula to calculate a percentage is by dividing the given value by the total value and then multiplying the result by 100.
Formula: Percentage = (Value / Total Value) × 100.
2. What are some of the most common applications of percentage in our daily lives?
Percentages are used extensively in many real-world scenarios. Some common examples include:
- Shopping: Calculating discounts and sale prices on items.
- Academics: Representing student marks or grades in exams.
- Finance: Calculating bank interest rates (savings or loans), and taxes like GST.
- Nutrition: Showing the composition of nutrients on food labels.
- Statistics: Describing data changes, such as population growth or economic shifts.
3. How is the concept of percentage applied to calculate profit and loss in a business transaction?
In business, profit or loss is often expressed as a percentage to understand its magnitude relative to the cost. The profit percentage or loss percentage is always calculated based on the cost price (CP).
- Profit Percentage Formula: Profit % = (Profit / Cost Price) × 100
- Loss Percentage Formula: Loss % = (Loss / Cost Price) × 100
This helps in standardising the measure of profitability across different products.
4. How do percentages help in calculating discounts and taxes like GST on a bill?
Percentages are central to calculating both discounts and taxes. A discount is a percentage reduction on the marked price of an item. For example, a 20% discount on a ₹500 item means a reduction of (20/100) * 500 = ₹100. Conversely, a tax like GST (Goods and Services Tax) is a percentage of the item's price that is added to the final bill, increasing the amount the customer has to pay.
5. What is the fundamental role of percentage in calculating Simple Interest?
The concept of percentage is the foundation of calculating Simple Interest (SI). The 'Rate of Interest' (R) in the SI formula is a percentage. It represents the portion of the principal amount that is charged or earned as interest for a specific period (usually per year). The formula, SI = (P × R × T) / 100, directly uses this rate (R%) to determine the interest amount on the principal (P) over time (T).
6. Why is it often more useful to compare quantities using percentages instead of their absolute values?
Comparing quantities using percentages provides a common base (out of 100), which makes comparisons more meaningful and easier to interpret, especially when the totals are different. For instance, scoring 45 out of 50 in a test is 90%, while scoring 80 out of 100 in another is 80%. The percentage immediately shows that the first performance was better, a conclusion that is less obvious when looking only at the absolute scores of 45 and 80.
