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Find Percentage Difference

Introduction to find percentage difference:

Percentage is expressing any number in a fraction with the denominator as 100. The symbol used for the Percentage is ‘%’. Percentage difference is defined as the comparing a previous value to the new value.

Formula for percentage difference = [Previous value – new value] / 100

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Word problem on find percentage difference:


David lived in a United States of America. When David left the country the population was 920 million. David recently heard that the population has decreased by 6%. What is the present population?

Solution:

Find out the decrease percentage 920*6/100 = 5520/100 = 55.2 million

Then the new population is old population minus the decreased population

920-55.2 = 864.8 million

The population is now 864.8 million



Word problem 2:

Shan diets and decrease his weight 67kg to 65kg. Find the percentage decrease?

Solution:

Initially find the weight loss = 67-65 = 2kg

This 2kg is decrease the original weight. So the percentage will modify the original,

Let us take x as the decrease percentage

2=x * 67

Divide by 67 on both sides to make the variable alone

2/67 = 67x/67

0.0298 = x

Convert the decimal to percentage we get,

X=2.98%

The loss of weight in percentage is 2.98%

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Word problem on find percentage difference


If 58 students in a class are boys and 42 students are in girls. Find the percentage difference between boys and girls?

Solution:

First find out the total number of students in a class

Boys + girls = 58+42 = 100

After that find out the percentage of boys in a class

Boys percentage = total number of boys / total number of students

= 58/100 = 58 %

After that find out the percentage of girls in a class

Girls percentage = total number of girls / total number of students

= 42/100 =42 %

Percentage difference = 58-42 =16

The girls are 16 % percentage lesser than boys


This post first appeared on Prime Numbers | Free Maths Problem Solver, please read the originial post: here

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Find Percentage Difference

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