word problems about percent

• Home   |  
• About   |  
• Contact Us   |  
• Privacy   |  
• Newsletter   |  
• Shop   |  
• 🔍 Search Site
• Easter Color By Number Sheets
• Printable Easter Dot to Dot
• Easter Worksheets for kids
• Kindergarten
• All Generated Sheets
• Place Value Generated Sheets
• Addition Generated Sheets
• Subtraction Generated Sheets
• Multiplication Generated Sheets
• Division Generated Sheets
• Money Generated Sheets
• Negative Numbers Generated Sheets
• Fraction Generated Sheets
• Place Value Zones
• Number Bonds
• Addition & Subtraction
• Times Tables
• Fraction & Percent Zones
• All Calculators
• Fraction Calculators
• Percent calculators
• Area & Volume Calculators
• Age Calculator
• Height Calculator
• Roman Numeral Calculator
• Coloring Pages
• Fun Math Sheets
• Math Puzzles
• Mental Math Sheets
• Online Times Tables
• Online Addition & Subtraction
• Math Grab Packs
• All Math Quizzes
• 1st Grade Quizzes
• 2nd Grade Quizzes
• 3rd Grade Quizzes
• 4th Grade Quizzes
• 5th Grade Quizzes
• 6th Grade Math Quizzes
• Place Value
• Rounding Numbers
• Comparing Numbers
• Number Lines
• Prime Numbers
• Negative Numbers
• Roman Numerals
• Subtraction
• Add & Subtract
• Multiplication
• Fraction Worksheets
• Learning Fractions
• Fraction Printables
• Percent Worksheets & Help
• All Geometry
• 2d Shapes Worksheets
• 3d Shapes Worksheets
• Shape Properties
• Geometry Cheat Sheets
• Printable Shapes
• Coordinates
• Measurement
• Math Conversion
• Statistics Worksheets
• Bar Graph Worksheets
• Venn Diagrams
• All Word Problems
• Finding all possibilities
• Logic Problems
• Ratio Word Problems
• All UK Maths Sheets
• Year 1 Maths Worksheets
• Year 2 Maths Worksheets
• Year 3 Maths Worksheets
• Year 4 Maths Worksheets
• Year 5 Maths Worksheets
• Year 6 Maths Worksheets
• All AU Maths Sheets
• Kindergarten Maths Australia
• Year 1 Maths Australia
• Year 2 Maths Australia
• Year 3 Maths Australia
• Year 4 Maths Australia
• Year 5 Maths Australia
• Meet the Sallies
• Certificates

Percentage Word Problems

Welcome to our Basic Percentage Word Problems. In this area, we have a selection of basic percentage problem worksheets designed for 6th grade students who are just starting to learn about percentages to help them to solve a range of simple percentage problems.

For full functionality of this site it is necessary to enable JavaScript.

Here are the instructions how to enable JavaScript in your web browser .

Percentage Learning

Percentages are another area that children can find quite difficult. There are several key areas within percentages which need to be mastered in order.

Our selection of percentage worksheets will help you to find percentages of numbers and amounts, as well as working out percentage increases and decreases and converting percentages to fractions or decimals.

Key percentage facts:

• 50% = 0.5 = ½
• 25% = 0.25 = ¼
• 75% = 0.75 = ¾
• 10% = 0.1 = 1 ⁄ 10
• 1% = 0.01 = 1 ⁄ 100

How to work out Percentages of a number

This page will help you learn to find the percentage of a given number.

There is also a percentage calculator on the page to support you work through practice questions.

• Percentage Of Calculator

This is the calculator to use if you want to find a percentage of a number.

Simple choose your number and the percentage and the calculator will do the rest.

Basic Percentage Word Problems

Here you will find a selection of worksheets on percentages designed to help your child practise how to apply their knowledge to solve a range of percentage problems..

The sheets are graded so that the easier ones are at the top.

The sheets have been split up into sections as follows:

• spot the percentage problems where the aim is to use the given facts to find the missing percentage;
• solving percentage of number problems, where the aim is to work out the percentage of a number.

Each of the sheets on this page has also been split into 3 different worksheets:

• Sheet A which is set at an easier level;
• Sheet B which is set at a medium level;
• Sheet C which is set at a more advanced level for high attainers.

Spot the Percentages Problems

• Spot the Percentage 1A
• PDF version
• Spot the Percentage 1B
• Spot the Percentage 1C
• Spot the Percentage 2A
• Spot the Percentage 2B
• Spot the Percentage 2C

Percentage of Number Word Problems

• Percentage of Number Problems 1A
• Percentage of Number Problems 1B
• Percentage of Number Problems 1C
• Percentage of Number Problems 2A
• Percentage of Number Problems 2B
• Percentage of Number Problems 2C
• Percentage of Number Problems 3A
• Percentage of Number Problems 3B
• Percentage of Number Problems 3C

More Recommended Math Worksheets

Take a look at some more of our worksheets similar to these.

6th Grade Percentage Word Problems

The sheets in this area are at a harder level than those on this page.

The problems involve finding the percentage of numbers and amounts, as well as finding the amounts when the percentage is given.

• 6th Grade Percent Word Problems
• Percentage Increase and Decrease Worksheets

We have created a range of worksheets based around percentage increases and decreases.

Our worksheets include:

• finding percentage change between two numbers;
• finding a given percentage increase from an amount;
• finding a given percentage decrease from an amount.

Percentage of Money Amounts

Often when we are studying percentages, we look at them in the context of money.

The sheets on this page are all about finding percentages of different amounts of money.

• Money Percentage Worksheets

Percentage of Number Worksheets

If you would like some practice finding the percentage of a range of numbers, then try our Percentage Worksheets page.

You will find a range of worksheets starting with finding simple percentages such as 1%, 10% and 50% to finding much trickier ones.

• Percentage of Numbers Worksheets

Converting Percentages to Fractions

To convert a fraction to a percentage follows on simply from converting a fraction to a decimal.

Simply divide the numerator by the denominator to give you the decimal form. Then multiply the result by 100 to change the decimal into a percentage.

The printable learning fraction page below contains more support, examples and practice converting fractions to decimals.

• Converting Fractions to Percentages

• Convert Percent to Fraction

Online Percentage Practice Zone

Our online percentage practice zone gives you a chance to practice finding percentages of a range of numbers.

You can choose your level of difficulty and test yourself with immediate feedback!

• Online Percentage Practice
• Ratio Part to Part Worksheets

These sheets are a great way to introduce ratio of one object to another using visual aids.

The sheets in this section are at a more basic level than those on this page.

How to Print or Save these sheets 🖶

Need help with printing or saving? Follow these 3 steps to get your worksheets printed perfectly!

• How to Print support

Subscribe to Math Salamanders News

Sign up for our newsletter to get free math support delivered to your inbox each month. Plus, get a seasonal math grab pack included for free!

• Newsletter Signup

Return to 5th Grade Math Worksheets

Return from Percentage Word Problems page to Math Salamanders Homepage

Math-Salamanders.com

The Math Salamanders hope you enjoy using these free printable Math worksheets and all our other Math games and resources.

We welcome any comments about our site or worksheets on the Facebook comments box at the bottom of every page.

New! Comments

TOP OF PAGE

© 2010-2024 Math Salamanders Limited. All Rights Reserved.

• Privacy Policy
• Copyright Policy

Percentage Word Problem Worksheets

Percentages can be calculated from fractions and decimals. Although there are many steps to calculate a percentage, it can be simplified a bit. Multiplication is used if you work with a decimal, and division is used to convert a mixed number to a percentage.

The word percentage means 100 percent. For example, 10 percent means 10 out of 100. This can be written as 10 or 10% or as a fraction of 10/100, or as a decimal such as .10. It can look at numbers written in different formats and choose them as potential percentages can help students prepare for tests.

Benefits of Percentage Word Problem Worksheets

Cuemath's interactive math worksheets consist of visual simulations to help your child visualize the concepts being taught, i.e., "see things in action and reinforce learning from it." The percentage word problem worksheets follow a step-by-step learning process that helps students better understand concepts, recognize mistakes, and possibly develop a strategy to tackle future problems and In the Percent Problems Worksheet, we will also practice different types of questions about calculating percentage word problems.

Download Percentage Word Problem Worksheet PDFs

• Pre-algebra lessons
• Pre-algebra word problems
• Algebra lessons
• Algebra word problems
• Algebra proofs
• Advanced algebra
• Geometry lessons
• Geometry word problems
• Geometry proofs
• Trigonometry lessons
• Consumer math
• Baseball math
• Math for nurses
• Statistics made easy
• High school physics
• Basic mathematics store
• SAT Math Prep
• Math skills by grade level
• Ask an expert
• Other websites
• K-12 worksheets
• Worksheets generator
• Algebra worksheets
• Geometry worksheets
• Free math problem solver
• Pre-algebra calculators
• Algebra Calculators
• Geometry Calculators
• Math puzzles
• Math tricks
• Member login

Percentage word problems

Before you take a look at the percentage word problems in this lesson and their solutions, it may help to review the lesson about  formula for percentage or you can use the different techniques that I use here.

Different types of percentage word problems

There are three different types of percentage word problems. We will show how to solve them using proportions. 

• What is 80% of 20? ( example #1 )
• 50 is 25% of what number? ( example #2 )
• 18 is what percent of 24? What percent of 2000 is 3500? ( example #3 and example #4 )

Solving percentage word problems using proportions

You can solve problems involving percents using the proportion you see in the figure above:   ( n% / 100% = Part / Whole )

First, study the figure carefully! Then, we will show how to use the proportion to solve percentage word problems by creating diagrams to visualize relationships.

Example #1: A test has 20 questions. If peter gets 80% correct, how many questions did peter miss?

First, you need to find the number of correct answers by looking for 80% of 20.

When the problem involves looking for the part or the problem says something like, "Find 80% of 20" or "Find 30% of 50," just change the percent to a decimal and multiply.

80% of 20 = (80 / 100) × 20 = 0.80 × 20 = 16

Since the test has 20 questions and he got 16 correct answers, the number of questions Peter missed is 20 − 16 = 4

Recall that 16 is called the percentage. It is the answer you get when you take the percent of a number.

Percentage  =   Part

Example #2: In a school, 25% of the teachers teach basic math. If there are 50 basic math teachers, how many teachers are there in the school?

Once again set the problem up as shown in the figure below. Notice that the question is, " How many teachers are in the school?"

Therefore, the whole is missing this time!

Method #2 I shall help you reason the problem out!

When we say that 25% of the teachers teach basic math, we mean 25% of all teachers in the school equals number of teachers teaching basic math.

Since we don't know how many teachers there are in the school, we replace this with x or a blank. However, we know that the number of teachers teaching basic math is equal to the percentage = part =  50 Putting it all together, we get the following equation: 25% of ____ = 50 or 25% × ____ = 50 or 0.25 × ____ = 50 Thus, the question is 0.25 times what gives me 50? A simple division of 50 by 0.25 will get you the answer 50 / 0.25 = 200 Therefore, we have 200 teachers in the school In fact, 0.25 × 200 = 50

More percentage word problems

Example #3: 24 students in a class took an algebra test. If 18 students passed the test, what percent do not pass?

Solution First, find out how many student did not pass. Number of students who did not pass is 24 − 18 = 6

Then, write down the following equation: x% of 24 = 6 or x% × 24 = 6

To get x%, just divide 6 by 24 6 / 24 = 0.25 = 25 / 100 = 25% Therefore, 25% of students did not pass.

Example #4: A fundraising company would like to raise $2000 for a cause. The fundraiser was so successful that they ended up raising $3500. What percent of their goal did they raise?

Notice that the whole is 2000 since this is the whole money they expect to raise. The part is the amount that the fundraiser ended with and it usually lower than the amount they expect to raise. However, in this particular case, the part ended up being bigger than the whole. Keeping this in mind, here is how to set it up and solve it!

The fundraising company was able to raise 175% of the expected amount.

Example #5:

A department has a total of 22,000 units of stock. 25% of the garments are black and 10% of the garments are size 14.

a) How many black garments are there? 
b) How many size 14 garments are there? 
c) If 10% of the black garments are size 14,how many garments are black and size 14?

Note that the solution we show below for example #5 use a completely different approach or technique. Read it carefully and try to learn it as well!

25% = 25 per 100 = 250 per 1000 For 22,000 just multiply 250 by 22 250    ×    22   =  250 × (10 + 10 + 2)

                       =  2500 + 2500 + 500                        =  5000 + 500                        =  5500

So, there are 5500 black garments.

10% = 10 per 100 = 100 per 1000 For 22,000 just multiply 100 by 22 100 × 22 = 2200 So, 2200 of the garments are size 14.

If 10% or 10 per 100 of the black garments are size 14, then 100 per 1000 of the black garments are size 14.

500 per 5000 are size 14. However, you need to find it for 5500 black garments.

Then, what is 10% of 500? 10% = 10 per 100, so 50 per 500. So 550 of the black garments are size 14.

If you really understand the percentage word problems above, you can solve any other similar percentage word problems. If you still do not understand them, I strongly encourage you to study them again and again until you get it. The end result will be very rewarding!

Finding a percentage

percentage worksheets

Recent Articles

How to divide any number by 5 in 2 seconds.

Feb 28, 24 11:07 AM

Math Trick to Square Numbers from 50 to 59

Feb 23, 24 04:46 AM

Sum of Consecutive Odd Numbers

Feb 22, 24 10:07 AM

100 Tough Algebra Word Problems. If you can solve these problems with no help, you must be a genius!

 Recommended

About me :: Privacy policy :: Disclaimer :: Donate   Careers in mathematics  

Copyright © 2008-2021. Basic-mathematics.com. All right reserved

Percentages in Word Problems

Hi, and welcome to this video lesson on percentages in word problems.

I know word problems are most people’s worst nightmare, but never fear, we’re going to learn how to turn a big, scary, word percentage problem into a 3-step breeze!

Okay, let’s look at our problem:

The bill for dinner is $62.00. The diners decide to leave their server a 20% tip. Determine the total cost of dining at the restaurant, including tip.

Okay, so what is our goal? We always want to understand the goal in a word problem. Our goal here is: “Determine the total cost of dining at the restaurant, including tip.” That means finding the cost of the meal and finding the cost of the tip so we can add them together. We already know the bill for dinner, so we’re halfway home. Let’s solve the rest of this problem in three easy steps.

STEP 1: Change the percentage to a decimal. Remove the % sign from the 20% and drop a period in front of the 20 so we have .20. We are allowed to do this because when we are finding percents, we are really multiplying a decimal number against another number. This is because 20 percent of a number can be written as a ratio of a part per hundred: \(20\% = \frac{20}{100}=.20\)

STEP 2: Multiply the bill by 0.20 to find the amount of the tip: \($62.00(0.20)=$12.40\)

STEP 3: Add the tip and bill to find the total. The total cost of dining will be the sum of the bill for dinner and the tip: \($62.00+$12.40=$74.40\)

The total cost is $74.40.

I hope that helps. Thanks for watching this video lesson, and, until next time, happy studying.

Percent Word Problems

  Lauren went to her favorite taco truck for lunch. Her bill was $24.80, and she wants to leave a 20% tip. Help Lauren determine what her tip should be.

The correct answer is Tip $4.96. In order to calculate Lauren’s tip, we need to determine what 20% of $24.80 is. Let’s convert 20% to a decimal, which would be 0.20. Now we can simply multiply \($24.80×0.20\) in order to determine the tip. \($24.80×0.20=$4.96\)

  Michael wants to mow lawns in order to make some extra money this summer, but he needs to find a lawn mower to use. Michael’s brother tells him that he will loan Michael his lawn mower if he gives him 4% of the money he makes on each lawn. If Michael agrees, and he earns 40 dollars on his first lawn mowed, how much money does he own his brother?

The correct answer is $1.60. In order to calculate 4% of 40, we need to convert 4% to a decimal. 4% is 0.04 as a decimal. Now we can multiply 0.04 and $40 in order to determine what Michael owes his brother. \(0.04×$40=1.6=$1.60\)

  In a study of 250 high school students, 90% of students have taken the driver’s education course. How many students have not taken the course?

15 students

20 students

25 students

30 students

The correct answer is 25 students. 90% of the students have taken the driver’s education course, and there are 250 students total. Let’s start by determining how many students have taken the course. To do this we can multiply \(0.9×250\) which equals 225. This means that 225 students have taken the course. If 225 students have taken the course, and there are 250 students total, we can find the difference between 225 and 250 in order to determine how many students have not taken the course. \(250-225=25\) students have not taken the course.

  Julian scored 90% on his math test. The test had 60 questions. How many questions did he answer correctly?

The correct answer is 54. If Julian answered 90% of the questions correctly, and there were 60 questions total, we can calculate 90% of 60 in order to determine how many questions he answered correctly. Let’s convert 90% to a decimal (0.9), and then multiply this by 60. \(0.9×60=54\) questions answered correctly

  A video game costs $45 before tax. If the sales tax is 5%, what will the total cost of the game be including tax?

The correct answer is $47.25. Let’s first calculate the tax. If the game costs $45 and the tax is 5%, we can multiply \(45×0.05\) in order to determine the tax. \(45×0.05 = 2.25\), which means there will be a $2.25 tax on the purchase. Now let’s add this tax to the price of the game in order to calculate the total cost of the game plus the tax. \($45+$2.25=$47.25\)

by Mometrix Test Preparation | Last Updated: June 20, 2024

Percent Word Problems

In these lessons we look at some examples of percent word problems. The videos will illustrate how to use the block diagrams (Singapore Math) method to solve word problems.

Related Pages More Math Word Problems Algebra Word Problems More Singapore Math Word Problems

How to solve percent problems with bar models? Examples:

• Marilyn saves 30% of the money she earns each month. She earns $1350 each month. How much does she save?
• At the Natural History Museum, 40% of the visitors are children. There are 36 children at the museum. How many visitors altogether are at the museum?
• Bill bought cards to celebrate Pi day. He sent 60% of his cards to his friends. He sent 42 cards to his friends. How many cards did he buy altogether?
• Bruce cooked 80% of the pancakes at the pancake breakfast last weekend. They made 1120 pancakes. How many pancakes did Bruce cook?

Sales Tax and Discount An example of finding total price with sales tax and an example of finding cost after discount.

• Alejandro bought a TV for $900 and paid a sales tax of 8%. How much did he pay for the TV?
• Alice saved for a new bike. The bike was on sale for a discount of 35%. The original cost of the bike was $270. How much did she pay for the bike?

Percent Word Problems Example: There are 600 children on a field. 30% of them were boys. After 5 teams of boys join the children on the field, the percentage of children who were boys increased to 40%. How many boys were there in the 5 teams altogether?

Problem Solving - Choosing a strategy to solve percent word problems An explanation of how to solve multi-step percentage problems using bar models or choosing an operation. Example: The $59.99 dress is on sale for 15% off. How much is the price of the dress?

How to solve percent problems using a tape diagram or bar diagram? Example: An investor offers $200,000 for a 20% stake in a new company. What amount does the investor believe the toatl value of the business is worth at this time? How to use a tape diagram or bar diagram to find the answer?

• First draw a bar that represents the company’s whole value.
• Divide into 5 equal parts because 100%/20% = 5.
• Label one side with the percentages.
• Label the other side $200,000 across from 20% because that was given.
• Finish labeling the money side.
• Find solution.

Solve Percent Problems Using a Tape Diagram (Bar Diagram) Example: a) If $300 is increased by 25% what is the new amount? b) What is 19% of 120? c) Joe went to an athletic store to purchase new running shoes. To his surprise, the store was having a 20% off athletic shoes sale. He purchased a new pair of shoes that were regularly priced $60. How much did Joe pay for his shoes?

We welcome your feedback, comments and questions about this site or page. Please submit your feedback or enquiries via our Feedback page.

Search Functionality Update!

To optimize your search experience, please refresh the page.

Windows: Press Ctrl + F5

Mac: Use Command + Shift+ R or Command + Option + R

Mobile: Tap and hold the refresh icon, then select "Hard Refresh" or "Reload Without Cache" for an instant upgrade!

• Child Login
• Number Sense
• Measurement
• Pre Algebra
• Figurative Language
• Reading Comprehension
• Reading and Writing
• Science Worksheets
• Social Studies Worksheets
• Math Worksheets
• ELA Worksheets
• Online Worksheets

Browse By Grade

• Become a Member

• Kindergarten

• Skip Counting
• Place Value
• Number Lines
• Subtraction
• Multiplication
• Word Problems
• Comparing Numbers
• Ordering Numbers
• Odd and Even Numbers
• Prime and Composite Numbers
• Roman Numerals
• Ordinal Numbers

• Big vs Small
• Long vs Short
• Tall vs Short
• Heavy vs Light
• Full, Half-Full, or Empty
• Metric Unit Conversion
• Customary Unit Conversion
• Temperature

• Tally Marks
• Mean, Median, Mode, Range
• Mean Absolute Deviation
• Stem and Leaf Plot
• Box and Whisker Plot
• Permutations
• Combinations

• Lines, Rays, and Line Segments
• Points, Lines, and Planes
• Transformation
• Ordered Pairs
• Midpoint Formula
• Distance Formula
• Parallel and Perpendicular Lines
• Surface Area
• Pythagorean Theorem

• Significant Figures
• Proportions
• Direct and Inverse Variation
• Order of Operations
• Scientific Notation
• Absolute Value

• Translating Algebraic Phrases
• Simplifying Algebraic Expressions
• Evaluating Algebraic Expressions
• Systems of Equations
• Slope of a Line
• Equation of a Line
• Quadratic Equations
• Polynomials
• Inequalities
• Determinants
• Arithmetic Sequence
• Arithmetic Series
• Geometric Sequence
• Complex Numbers
• Trigonometry

Percent Word Problems Worksheets

• Pre-Algebra >
• Percent >

The beauty of our pdf percent word problems worksheets is they deliver the concept of percentages, which when taught as an abstract concept can trip children up, as fun, realistic, and vivid as it could be. The tasks include calculating percentages using word problems, finding a percent increase or percent decrease, and more! Word problems require students to read, interpret the situation, and use the correct formula to find the answer. The printable resources are included with answer key to help students instantly double-check the solutions.

These pdf worksheets are most recommended for students in grade 5, grade 6, and grade 7.

Calculating Percentage Word Problems | Worksheet #1

Remind students that they must divide the ‘part’ by ‘whole’ and multiply it by 100. Take an eventful trip to the world of percentages and boast superior skills at finding percents!

Calculating Percentage Word Problems | Worksheet #2

There are 6 blue flowers in a bouquet of 14 flowers. What is the percentage of blue flowers in the bouquet? Bring your A-game to answer such questions in this free, no-prep resource.

Finding Percent Increase or Decrease | Worksheet #1

Few days pass by in life when we don't hear about a percent increase or percent decrease! Let the 6th grade and 7th grade children explore more in this printable assessment worksheet.

Finding Percent Increase or Decrease | Worksheet #2

Get calculating increases and decreases in percentages in a trice! Divide the change by the original number and multiply it by 100. A positive change means a percent increase, and vice versa.

Percent Error Word Problems Worksheets

Predictions don't always come true! Grade 6 and grade 7 children experience this firsthand in this pdf, as they draw on word problems that use the correct formula to identify the percent error.

Related Printable Worksheets

▶ Percent of a Number

▶ Percent of Change

▶ Word Problems

Tutoringhour

What we offer, information.

• Membership Benefits
• How to Use Online Worksheets
• How to Use Printable Worksheets
• Printing Help
• Testimonial
• Privacy Policy
• Refund Policy

Copyright © 2024 - Tutoringhour

You must be a member to unlock this feature!

Sign up now for only $29.95/year — that's just 8 cents a day!

Printable Worksheets

• 20,000+ Worksheets Across All Subjects
• Access to Answer Key
• Add Worksheets to "My Collections"
• Create Custom Workbooks

Digitally Fillable Worksheets

• 1100+ Math and ELA Worksheets
• Preview and Assign Worksheets
• Create Groups and Add Children
• Track Progress

Word Problems on Percentage

Word problems on percentage will help us to solve various types of problems related to percentage. Follow the procedure to solve similar type of percent problems.

Word problems on percentage:

1.  In an exam Ashley secured 332 marks. If she secured 83 % makes, find the maximum marks.

Let the maximum marks be m.

Ashley’s marks = 83% of m

Ashley secured 332 marks

Therefore, 83% of m = 332

⇒ 83/100 × m = 332

⇒ m = (332 × 100)/83

⇒ m =33200/83

Therefore, Ashley got 332 marks out of 400 marks.

2. An alloy contains 26 % of copper. What quantity of alloy is required to get 260 g of copper?

Let the quantity of alloy required = m g

Then 26 % of m =260 g

⇒ 26/100 × m = 260 g

⇒ m = (260 × 100)/26 g

⇒ m = 26000/26 g

⇒ m = 1000 g

3. There are 50 students in a class. If 14% are absent on a particular day, find the number of students present in the class.

Solution:             

Number of students absent on a particular day = 14 % of 50

                                          i.e., 14/100 × 50 = 7

Therefore, the number of students present = 50 - 7 = 43 students.

4. In a basket of apples, 12% of them are rotten and 66 are in good condition. Find the total number of apples in the basket.

Solution:             

Let the total number of apples in the basket be m

12 % of the apples are rotten, and apples in good condition are 66

Therefore, according to the question,

88% of m = 66

⟹ 88/100 × m = 66

⟹ m = (66 × 100)/88

⟹ m = 3 × 25

Therefore, total number of apples in the basket is 75.

5. In an examination, 300 students appeared. Out of these students; 28 % got first division, 54 % got second division and the remaining just passed. Assuming that no student failed; find the number of students who just passed.

The number of students with first division = 28 % of 300

                                                             = 28/100 × 300

                                                             = 8400/100

                                                             = 84

And, the number of students with second division = 54 % of 300

                                                                        = 54/100 × 300

                                                                        =16200/100

                                                                        = 162

Therefore, the number of students who just passed = 300 – (84 + 162)

                                                                           = 54

Questions and Answers on Word Problems on Percentage:

1. In a class 60% of the students are girls. If the total number of students is 30, what is the number of boys?

2. Emma scores 72 marks out of 80 in her English exam. Convert her marks into percent.

Answer: 90%

3. Mason was able to sell 35% of his vegetables before noon. If Mason had 200 kg of vegetables in the morning, how many grams of vegetables was he able to see by noon?

Answer: 70 kg

4. Alexander was able to cover 25% of 150 km journey in the morning. What percent of journey is still left to be covered?

Answer:  112.5 km

5. A cow gives 24 l milk each day. If the milkman sells 75% of the milk, how many liters of milk is left with him?

Answer: 6 l

6.  While shopping Grace spent 90% of the money she had. If she had $ 4500 on shopping, what was the amount of money she spent?

Answer:  $ 4050

Fraction into Percentage

Percentage into Fraction

Percentage into Ratio

Ratio into Percentage

Percentage into Decimal

Decimal into Percentage

Percentage of the given Quantity

How much Percentage One Quantity is of Another?

Percentage of a Number

Increase Percentage

Decrease Percentage

Basic Problems on Percentage

Solved Examples on Percentage

Problems on Percentage

Real Life Problems on Percentage

Application of Percentage

8th Grade Math Practice From Word Problems on Percentage to HOME PAGE

Didn't find what you were looking for? Or want to know more information about Math Only Math . Use this Google Search to find what you need.

New! Comments

• Preschool Activities
• Kindergarten Math
• 1st Grade Math
• 2nd Grade Math
• 3rd Grade Math
• 4th Grade Math
• 5th Grade Math
• 6th Grade Math
• 7th Grade Math
• 8th Grade Math
• 9th Grade Math
• 10th Grade Math
• 11 & 12 Grade Math
• Concepts of Sets
• Probability
• Boolean Algebra
• Math Coloring Pages
• Multiplication Table
• Cool Maths Games
• Math Flash Cards
• Online Math Quiz
• Math Puzzles
• Binary System
• Math Dictionary
• Conversion Chart
• Homework Sheets
• Math Problem Ans
• Free Math Answers
• Printable Math Sheet
• Funny Math Answers
• Employment Test
• Math Patterns
• Link Partners
• Privacy Policy

Recent Articles

Types of quadrilaterals | properties of quadrilateral | parallelogram.

Jul 04, 24 12:43 AM

Worksheet on H.C.F. and L.C.M. | H.C.F. by Long Division Method | Ans

Jul 03, 24 07:08 AM

Different Types of Polygons | Triangle, Quadrilateral|Pentagon|Hexagon

Jul 03, 24 01:54 AM

Quadrilateral Worksheet |Different Types of Questions in Quadrilateral

Jul 03, 24 01:02 AM

Pairs of Angles | Complementary Angles | Supplementary Angles|Adjacent

Jul 02, 24 11:53 PM

Worksheet on Fraction into Percentage

Worksheet on Percentage into Fraction

Worksheet on Percentage into Ratio

Worksheet on Ratio into Percentage

Worksheet on Percentage into Decimal

Worksheet on Percentage of a Number

Worksheet on Finding Percent

Worksheet on Finding Value of a Percentage

Worksheet on Percentage of a Given Quantity

Worksheet on Word Problems on Percentage

Worksheet on Increase Percentage

Worksheet on Decrease Percentage

Worksheet on increase and Decrease Percentage

Worksheet on Expressing Percent

Worksheet on Percent Problems

Worksheet on Finding Percentage

© and ™ math-only-math.com. All Rights Reserved. 2010 - 2024.

Word Problems: Problems on percentages, ratios, and fractions

Ask free tutors.

Percent Word Problems - Examples & Practice - Expii

NCERT Solutions for Class 6, 7, 8, 9, 10, 11 and 12

Word Problems on Percentage

November 26, 2020 by Veerendra

For those looking for Word Problems on Percentage have arrived at the right destination. Make use of the Percent Word Problems available and solve similar kinds of questions easily. Practice the Problems on  Percentage  with Solutions regularly and get a detailed explanation to cross-check where you went wrong. After referring to our article you can solve various problems related to the percentage quickly and efficiently.

1.  10% of the books in a public library are Science books. If there are 90,000 books in the library, find the number of Science books available?

Total number of books = 90000

10% of books are science

therefore, 10/100*90,000

The Total Number of Science Books available in the library are 9000.

2. A baseball pitcher won 70% of the games he pitched. If he pitched 40 ballgames, how many games did he win?

70/100 =x /40

Cross Multiplying we have = (70*40)/100

Therefore, he won 28 games.

3. David took a math test and got 25 correct and 15 incorrect answers. What was the percentage of correct answers?

Total Answers = 25+15

Percentage of Correct Answers = 25/40*100

Therefore, David got 62.5% of correct answers.

4. There are 45 Carpenters in a Crew. On a certain day, 27 were present. What Percent showed up for work?

Percentage of Carpenters Showed up for work = (27/45)*100

Therefore, 60% of Carpenters Showed up for Work.

5. A metal bar weighs 7 Kg. 93% of the bar is Silver. How many Kgs of silver is there in the bar?

From the given data

93% of the bar is silver

= 93% of 7kg

Therefore,  6.51 Kg of Silver is there in the bar.

6. A packet contained 540 chocolates. 55% of the Chocolates were distributed to the children. Calculate how many chocolates are distributed?

No. of Chocolates distributed = 55% of 540

= 55/100*540

= 29700/100

297 Chocolates are distributed.

7. A man had $4,50,000 worth of property. He left 50% of his property to his son. How much did his son get?

Total Property worth = $4, 50, 000

Property his son got = 50% of 4, 50, 000

= 50/100*4, 50, 000

Therefore, the son got $2, 25, 000.

8. In an Exam Asha secured 300 marks. If she secured 75 % marks, find the maximum marks?

Asha secured 300 marks

Let the Maximum Marks be m

75% of m = 300

(75/100)*m = 300

m = (300*100)/75

The maximum marks in the Exam are 400.

9. An alloy contains 24 % of copper. What quantity of alloy is required to get 280 g of copper?

Let the quantity of copper needed = m

24% of m = 280g

24/100*m = 280

m = (280*100)/24

= 1166.66 gms

The Quantity of Alloy Required to get 280g of Copper is 1166.66 gms.

10. Geetha scores 60 marks out of 80 in her Maths exam. Convert her Marks into Percent?

Percent of Marks Geetha got = (60/80)*100

Thus, Geetha Scored 75% of Marks in her Maths Exam.

Free Resources

NCERT Solutions

Quick Resources

WORD PROBLEMS ON PERCENTAGE

Problem 1 :

Jacob got 50% of the questions correct on a 30-question test and 90% on a 50-question test. What percent of all questions did Jacob get correct?

Total numbers of questions in both the tests :

No. of questions he got correct on a 30-question test :

= 50% ⋅ 30

= 0.5 ⋅ 30

No. of questions he got correct on a 50-question test :

= 90% ⋅ 50

= 0.9 ⋅ 50

Total number of questions he got correct in both the tests :

Percent of questions Jacob got correct :

= (60/80) ⋅ 100 %

So, Jacob got 75% of all questions correct.

Problem 2 :

This year, the chickens on a farm laid 30% less eggs than they did last year. If they had laid 3500 eggs this year, how many eggs did they lay last year?

Let x be the number of eggs laid last year.

Given :  This year, the chickens laid 30% less eggs than they did last year and they laid 3500 eggs this year.

Then, we have

(100 - 30)% of x = 3500

70% of x = 3500

0.7 ⋅ x = 3500

0.7x = 3500

Divide each side by 0.7

So, the chickens laid 5000 eggs last year.

Problem 3 :

Miguel is following a recipe for marinara sauce that requires half a tablespoon of vinegar. If one cup is equivalent to 16 tablespoons, approximately what percent of a cup of vinegar is the amount by the recipe?

Percent of a cup of vinegar is the amount by the recipe :

= (Amount of vinegar required/1 cup of vinegar)  ⋅ 100%

= (Half a tablespoon/16 tablespoons)  ⋅ 100%

= (0.5/16)  ⋅ 100%

≈  3.1%

So, approximately 3.1%  of a cup of vinegar is the amount by the recipe.

Problem 4 :

The discount price of a book is 20% less than the retail price. Alex manages to purchase the book at 30% off the discount price at a special book sale. What percent of the retail price did Alex pay?

Let $100 be the retail price of the book.

The price of the book after 20% discount :

= (100 - 20)%  ⋅ 100

= 8 0%  ⋅ 100

= 0.8   ⋅ 100

The price of the book at 30% off the discount price :

= (100 - 30)%  ⋅ 80

= 7 0%  ⋅ 80

= 0.7   ⋅ 80

The retail price is $100 and Alex bought the book for $56.

So, the percent of the retail price Alex paid is 56%.

Problem 5 :

Each day, Jacob eats 40% of the pistachios left in his jar at that time. At the end of the second day, 27 pistachios remain. How many pistachios were in the jar at the start of the first day?

Let x be the number of pistachios at the start of the first day.

Number of pistachios at the end of the first day :

= (100 - 40)%  ⋅ x

= 6 0%  ⋅ x

Number of pistachios at the end of the second day :

= (100 - 40)%  ⋅ 0.6x

= 6 0%  ⋅ 0.6x

= 0.6   ⋅ 0.6x

Given :  Number of pistachios remain at the end of second day is 27.

Divide each side by 0.36.

So, the number of pistachios were in the jar at the start of the first day is 75.

Problem 6 :

Lily buys a doll at a 10 percent discount off the original price of $105.82. However she has to pay a sales tax of x% on the discounted price. If the total amount she pays for the doll is $100, then find the value of x.

The price of the doll after 10% discount :

= (100 - 10)%  ⋅ 105.82

= 90 %  ⋅ 105.82

= 0.9   ⋅ 105.82

The price of the doll after x% sales tax on the discounted price :

= (100 + x)%  ⋅ 95.238

=  (100 + x)/100  ⋅ 95.238

= (1 + 0.01x)   ⋅ 95.238

= 95.238 + 0.95238x

Given :  The total amount Lily pays for the doll is $100.

95.238 + 0.95238x = 100

Subtract 95.238 from each side.

0.95238x = 4.762

Divide each side by 0.95238 (Use calculator).

x  ≈  5

So, the value of x is about 5.

Problem 7 :

Over a two week span, James ate 20 pounds of chicken wings and 15 pounds of hot dogs. Anderson ate 20 percent more chicken wings 40 percent more hot dogs. Considering only chicken wings and hot dogs, what percent of food did Anderson eat more than James, by weight (rounded to the nearest percent).

Total pounds of chicken wings and hot dogs eaten by James :

No. of pounds of chicken wings eaten by Anderson :

= (100 + 20)%  ⋅ 20

= 120 %  ⋅ 20

= 1.2   ⋅ 20

No. of pounds of hot dogs eaten by Anderson :

= (100 + 40)%  ⋅ 15

= 140 %  ⋅ 15

= 1.4   ⋅ 15

Total pounds of chicken wings and hot dogs eaten by Anderson :

No. of pounds of food eaten by Anderson more than James :

Percent increase from James to Anderson :

= (10 / 35)  ⋅ 100 %

≈  29 %

So, Anderson ate about 29 percent of more food than James, by weight.

Problem 8 :

William is playing a board game in which he has to collect as many cards as possible. On his first turn, he loses 18 percent of his cards. On the second turn, he increases his card count by 36 percent. If his final card count after these two turns is n, which of the following represents his starting card count in terms of n?

A) n/[(1.18)(0.64)]

B) (1.18)(0.64)n

C) n/[(1.36)(0.82)]

D) (0.82)(1.36)n

Let x be the starting card count.

Number of cards after losing 18% of cards on the first turn :

= (100 - 18)%  ⋅ x

= 82%   ⋅ x

Number of cards after increasing 36% of cards on the second turn :

= (100 + 36)%  ⋅ 0.82x

= 136%   ⋅ 0.82x

= 1.36   ⋅ 0.82x

= (1.36)(0.82)x

Given :  Final card count after these two turns is n.

(1.36)(0.82)x = n

Divide each side by  (1.36)(0.82).

x = n/[(1.36)(0.82)]

So, the starting card count in terms of n is

n/[(1.36)(0.82)]

Therefore, option C is correct.

Problem 9 :

Due to deforestation, researchers expect the deer population to decline by 6 percent every year. if the current deer population is 12,000, then, find the approximate expected population size 10 years from now (rounded to the nearest tens).

Population of deer after 1 year from now :

=  (100 - 6)%  ⋅ 12000

= 94 %  ⋅ 12000

= 0.94 ⋅ 12000

Population of deer after 2 years from now :

= 0.94 ⋅ 0.94 ⋅ 12000

= (0.94) 2  ⋅ 12000

In this way, population of deer after 10 years from now :

= (0.94) 10  ⋅ 12000

≈  6460

So, the expected population size of deer 10 years from now is about 6460.

Problem 10 :

A small clothing store sells 3 different types of accessories. 20% are scarves, 60% are ties and the other 40 accessories are belts. If half of the ties are replaced with scarves, how many scarves will the store have?

Let x be the total number of accessories in the store.

Scarves and ties make up 80% of all accessories.

So, the remaining 20% of the accessories must be belts.

20% of x = 40

20%  ⋅ x = 40

Divide each side by 0.2.

In all, there are 200 accessories in the store.

Number of scarves in the store :

= 20 %  ⋅ 200

= 0.2 ⋅ 200

Number of ties in the store :

= 60 %  ⋅ 200

= 0.6 ⋅ 200

Half of 120 ties (60 ties) are replaced with scarves.

Now, the number of scarves in the store :

So, after replacing half of the ties with scarves, the store will have 100 scarves.

Kindly mail your feedback to   [email protected]

We always appreciate your feedback.

© All rights reserved. onlinemath4all.com

• Sat Math Practice
• SAT Math Worksheets
• PEMDAS Rule
• BODMAS rule
• GEMDAS Order of Operations
• Math Calculators
• Transformations of Functions
• Order of rotational symmetry
• Lines of symmetry
• Compound Angles
• Quantitative Aptitude Tricks
• Trigonometric ratio table
• Word Problems
• Times Table Shortcuts
• 10th CBSE solution
• PSAT Math Preparation
• Privacy Policy
• Laws of Exponents

Recent Articles

Best way to learn mathematics.

Jul 05, 24 02:28 AM

SAT Math Preparation Videos (Part - 4)

Jul 04, 24 11:47 PM

Integration Problems with Solutions

Jul 04, 24 07:11 PM

Talk to our experts

1800-120-456-456

• Percentage Word Problems

Introduction

Percentage is basically the ratio of the value of a particular quantity to its total value multiplied by 100. It is generally a way of expressing something as per 100. Further, in this article we will look at various scenarios for which we will find the percentage and learn the steps to solve word problems based on percentage.

What is the Percentage?

A percentage is something expressed part per hundred. It is generally a ratio which is given in terms of a fraction of 100. The word percent is taken from the Latin term per centrum which means “by the hundred” . It is denoted by the symbol “\[\% \]”.

What is Percentage

How to Calculate the Percentage?

Percentage is generally calculated by expressing the value whose percentage is to be calculated and the total value as a ratio which is multiplied by 100. The formula for calculating percentage is as follows :

Percentage \[ = \frac{{value}}{{Total\,Value}} \times 100\]

If in case, percentage of a number is to be calculated i.e. if % is given and the value of the quantity whose percentage is given with respect to the total is to be found we use -

For instance,\[{\rm{x\% }}\] of 450 \[ = \]Y and we wish to calculate the value of Y, we can do so by

\[{\rm{Y}} = \frac{{\rm{X}}}{{100}} \times 450\]

E.g. 20% of 800

So, \[\frac{{20}}{{100}} \times 800 = 20 \times 8 = 160\]

Question and Answer based on Percentage

This section contains basic problems based on the concept of percentage which can be solved very easily.

Raju scored 81 out of 90 in mathematics. Convert his marks into percentages.

Ans. Percentage \[ = \] Value \[/\]Total Value \[ \times \]100 \[ = \frac{{81}}{{90}} \times 100 = 9 \times 10 = 90\% \]

In a class of 300 students, there are 75 girls. Calculate the percentage of boys in the class.

Ans. Number of boys \[ = 300 - 75 = 225\]

Percentage of boys \[ = \frac{{225}}{{300}} \times 100 = 75\% \]

Prince spent 75 \[\% \] of the money he had to buy groceries. If he had 4000$ with him initially, what amount did he spend ?

Ans. Amount Spend \[ = \frac{{75}}{{100}} \times 4000 = 3000\]$

Compute 65% of 680

Ans. 65% of 680 \[ = \frac{{65}}{{100}} \times 680 = 442\]

Word Problems based on Percentage

The word problem based on percentage will have some scenarios in which we have to understand the requirements in the given problems and accordingly apply the formula for percentage and find the value of the quantity asked to be found.

1.If a brass article contains 72% of copper. What amount of brass will be required to get 360g of copper?

Ans : Let the quantity of brass required be x g.

Therefore, 72% of x = 360g

\[72\% \, \times \,x = 360g\]

\[0.72 \times x = 360g\]

Therefore, \[x = \frac{{360}}{{0.72}} = 500g\]

So, 500 g of brass is required to get 360g of copper.

2.Karishma appeared for a quiz in which she got 25 answers correct and 15 answers incorrect. What is the percentage of questions that she appeared correctly ?

Ans : Here, in this case 25 answers were correct and 15 were incorrect.

Therefore, total questions \[ = 25 + 15 = 40\]

So, Percentage of correct questions \[ = \frac{{25}}{{40}} \times 100 = 62.5\% \]

Therefore, 62.5\[\% \] of the questions were answered correctly by Karishma.

Solved Examples :

1. What is 30\[\% \] of 450?

Solution : 30 % of 450 \[ = \frac{{30}}{{100}} \times 450 = 0.3 \times 450 = 135\]

Therefore, 30% of 450 is 135.

2. The cost price of a bag is 1500 and the selling price of the same bag is 2100. At what profit is the article sold? What is the profit percentage?

Solution : As , Profit = Selling price - Cost price

Therefore, Profit earned on selling the bag \[ = 2100 - 1500 = 600\]

So, Profit Percentage \[ = \frac{{600}}{{1500}} \times 100 = 40\% \]

The seller earned 40\[\% \] profit on selling the bag.

3. Arun sells an object to Benny at a profit of 15%, Benny sells that object to Chandan for ₹1012 and makes a profit of 10%. At what cost did Arun purchase the object?

Solution: Let the actual cost price at which Arun bought the object be x

When Arun sells the object to Benny

Profit % = 15%

∴ selling price of object \[= \frac{{100 + 15}}{{100}} \times x = 1.15x\]

Now, this cost price of the object for Benny

When Benny sells the object to Chandan

Selling Price = ₹1012

Profit % = 10%

∴ Selling price = \[ = \frac{{100 + 10}}{{100}} \times 1.15x\]

\[ \Rightarrow 1012 = \frac{{100 + 10}}{{100}} \times 1.15x\]

\[ \Rightarrow x = \frac{{1012 \times 1000}}{{11 \times 115}}\]

Therefore, the price at which Arun bought the object is ₹800.

4. In an inter school aptitude test, 200 students appeared. Out of these students; 20 % got A grade, 50 % got B grade and the remaining got C grade. Assuming that no student got a D grade; find the number of students who got a C grade .

Solution : The number of students with A grade \[ = \] 20 \[\% \] of 200

\[ = \frac{{20}}{{100}} \times 200 = \frac{{4000}}{{100}}\]

And, the number of students with B grade \[ = \] 50 \[\% \] of 200

\[ = \frac{{50}}{{100}} \times 200\]

\[ = \frac{{10000}}{{100}} = 100\]

Therefore, the number of students who got C grade \[ = 200 - [40 + 100]\]

\[ = 200 - 140 = 60\]

So, 60 students scored C grade.

Conclusion:

Thus, we can say that percentage is a fraction of something expressed as part of 100. So, after understanding the method of calculating percentage and applying it according to the scenario we can easily solve the word problems based on percentage.

FAQs on Percentage Word Problems

1. Can the percentage be negative?

No, percentage can never be negative.

2. Is 0% of something valid ?

Yes, it is valid. For instance, if an alloy contains 0% of a certain element it simply means that the element is not present in that alloy.

Example: \[1250 \times 0\%  = 0\]

3. Can percentage be represented in decimals?

Yes, percentage can be represented in decimals. For example, 25% of something means \[\frac{{25}}{{100}} = 0.25\]\[\frac{{25}}{{100}} = 0.25\]

4. Can percentages be added?

Yes, percentages can be added if they are taken considering the same total value

Example: 5 % and 10% is 5 + 10 = 15%.

5. Can percentage be rounded off?

Yes, percentages can be rounded off to the nearest next natural number only if fine accuracy in decimals is not required in that scenario.

Example: 7.526% round off is 7.5%

If you're seeing this message, it means we're having trouble loading external resources on our website.

If you're behind a web filter, please make sure that the domains *.kastatic.org and *.kasandbox.org are unblocked.

To log in and use all the features of Khan Academy, please enable JavaScript in your browser.

Course: 7th grade   >   Unit 2

• Solving percent problems
• Equivalent expressions with percent problems
• Percent word problem: magic club
• Percent problems
• Percent word problems: tax and discount
• Tax and tip word problems

Percent word problem: guavas

• Discount, markup, and commission word problems
• Multi-step ratio and percent problems

Want to join the conversation?

• Upvote Button navigates to signup page
• Downvote Button navigates to signup page
• Flag Button navigates to signup page

Video transcript