Percentage: The percentage is used to find out the share or amount of something in terms of 100. In the simplest form, percent means per hundred. Percentages are a portion or fraction of 100 and it is denoted by the symbol ‘%‘, the percentage is majorly used to compare and find out ratios. The percentage is an interesting topic that helps you to calculate interest in your daily life. Various competitive examinations such as SSC, Railway, Banking, CAT, MAT, etc ask the percentage questions in its aptitude section.
In this article, we are providing the basic definition of a percentage along with the formula of percentage and percentage questions which helps you with a percentage calculator and increase your score in the government competitive exams. You can learn shortcut percentage methods, and formulas to solve the questions on this topic. To score good marks in any exam, it is necessary to have knowledge of the important topics and clear the basic concepts.
Percentage Meaning/ Percentage Definition
Percent means “for every 100” or “out of 100.” The (%) symbol is a quick way to write a fraction with a denominator of 100. For example, instead of saying “Ram scored 70 out of 100,” we say “Ram scored 70%”. The percentage can be repressed in decimal form also like 67.9% or 0.72%.
The formula to calculate Percentage is very simple.
Percentage = (Value ⁄ Total Value) × 100
Now let’s take a look at a few examples using this formula.
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How to Calculate Percentage?
Here we are providing some examples to give you the samples of how to calculate percentages using the percentage formula. These questions will help you to understand the Percentage, and percentage formula using a percentage calculator.
Example 1: There are 200 students in a class. Out of them, 90 are girls. Find the percentage of girls in the class?
Solution: We are given,
Total students in the class=200
Girls in the class = 90
Percentage of girls in the class = (Girls in the class⁄ Total no. of students) × 100
Percentage of girls in the class = (90/200)x100 = 45%
Example 2: The price of a $1.50 candy bar is increased by 25%. Calculate the new price?
Solution: We are given,
Price of the Candy= $1.50
Increase in the price of candy= 25% or 25/100
New Price of candy= Old Price + increase in price
New Price of candy= 1.50 +25/100
New Price of candy= 1.50 + 1.50 ×.25
New Price of candy= $ 1.875
Example 3: Radha earns a monthly salary of $1200. She spends $280/month on food. What percent of the monthly salary does she save?
Solution: Monthly salary of Radha= $1200
Salary saved by Radha = $(1200 – 280) = $920
The fraction of salary she saves = 920/1200
Percentage of salary she saves = (920/1200)×100 = 920/12 = 76.667 %
Percentage: Frequently Asked Questions
Q. What symbol is used to denote ‘percentage’?
Ans: ‘%’ symbol is used to denote the percentage.
Q. What does the word percentage mean?
Ans: Percent means “for every 100” or “out of 100.”
Q. If Sukhbeer sold 12 pens for a rupee and he had a loss of 20%. How many pens he sold for a rupee if he wants to make a profit of 20%.
Ans: If he wants to make a profit of 20%. He must sell 8 pens for a rupee.
Q. What is the formula for Percentage?
Ans: The formula to calculate the percentage of a number out of another number is: Percentage = (Original number/Another number) x 100