
Percentage is the most commonly used Mathematical formula. From small calculations to big decisions, we use percentage conversion for so many things. Percentage often makes calculations and decision making easier. It also plays a supportive part in solving Mathematical problems of other topics.
All of us have studied percentage in school. While we solved simple percentage problems in junior classes, at higher level, we solve complicated problems. Because of its significance in all types of calculations, percentage is also a part of MBA entrance tests and competitive exams. In these exams, percentage questions are multi layered and require better practice.
Percentage usually appears in the Quantitative Aptitude section of an entrance/competitive exam. However, many Data Interpretation questions are also based on Percentage. Read here all about Percentage for CAT and other MBA entrance exams.
- What is Percentages?
- How To Calculate Percentage?
- DILR Practice Questions with Solutions PDFs
- FAQs on Percentage
What is Percentages?
When we have to represent a specific amount as a fraction of another amount, we utilise the concept of 'percentage'. The percentage means percent, where 'cent' means 100, and the symbol % indicates it. This implies that when we say x% of something, we mean x per 100 or x parts per 100 parts. For example, if 55% are women in a town, then we can conclude that, out of every 100 people, 55 are women.
Percentage Difference Formula
To calculate Percentage Difference or the percentage change formula, one needs to divide the difference between two values by the average of the same values. Percentage difference is usually used to calculate change in value over a given period of time.
The formula is:
Percentage Difference = (Absolute difference / Average) × 100
How To Calculate Percentage?
The simplest way to calculate the percentage is by using the formula:
Given Value/Total Value x 100
Example: Out of ten questions, if Meera answers 5 correctly, find out the % of the right answers.
Here, the given value is 5
The total value is 10
Putting the values in the above formula,
5/10x100% = 50%
But sometimes, you might get only numbers to convert into a percentage. In those cases, follow the steps given below:
-
Determine if the number is a decimal number ( 0.7) or a fraction (⅖).
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If it is a decimal number like 0.7, then multiply it with 100 to convert it into a percentage. Here, 0.7x100 = 70%
-
If it is a fraction like ⅖, then convert it into a decimal and then multiple 100 to it. Here, ⅖ = 0.4. So, the percentage value is 0.4x100 = 40%.
Formula to find increase or decrease percentage: Amount of change/ Original amount x 100
Also Read:
| VARC Preparation Tips for MBA Exams | Quantitative Aptitude Preparation Tips for MBA Exams |
Illustrative examples of Percentages to understand the application:
1. A cricket team won 10 out of the total number of matches played. If the percentage of winning was 30, how many matches did they play?
Suppose the total number of matches played be x
Given, the number of matches won = 10
Win percentage = 50
Substituting the values in the formula,
Percentage = given value/ total value x 100
We get, 10/x x 100 = 50
=> 1000 = 50x
=> x = 200
Hence, the total number of matches played was 200.
2. On Sunday, 845 people went to a zoo. On Monday only 169 people went. What is the percent decrease in the people visiting the zoo on Monday?
No. of people visiting zoo on Sunday = 845
No. of people visiting zoo on Monday = 169
No . of people decreased since = 845-169 = 676
Percentage decrease = reduced value/total value x 100
=>676/845x100 = 80%
So the percentage decrease was 80%.
3. Chalk contains calcium, carbon, and oxygen in the ratio of 10:3:12. Find the percentage of carbon in chalk.
The total part is 10+3+12 = 25.
Parts of carbon in chalk = 3
% of carbon = 3/25 x 100 = 12%
Also Read: MBA Preparation 2025: Tips to Prepare for MBA Entrance Exams
DILR Practice Questions with Solutions PDFs
Get here free PDFs of DILR practice questions with solutions. You can find easy, medium and difficult questions sets. Practice these DILR questions to improve your performance in CAT and other MBA entrance exams:
FAQs on Percentage
Q: What is 'percentage'?
Q: What is the unit of 'percentage'?
Q: Why is 'percentage' significant?
Q: Is the calculation of percentage important in day to day life?
Q: Convert 0.75 to percentage.
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