Percentage Formula, Percentage Calculator and Questions

By | September 12, 2023


Percentage: Percentage is a way of expressing a number as a part of 100. It is denoted by the symbol “%”. Percentages are used to compare quantities, express proportions, and calculate interest. Percentages are a useful tool in many different fields, including business, finance, and science. They are also commonly used in competitive examinations such as SSC, Railway, Banking, CAT, MAT, etc.

Percentage Calculator

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.

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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%.

Percentage Formula

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.

How to Calculate Percentage?

Here we are providing some examples to give you 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.

Percentage Questions

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 Formula, Percentage Calculator and Questions_60.1

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