BrightChamps Logo
Login
Creative Math Ideas Image
Live Math Learners Count Icon100 Learners

Last updated on June 4th, 2025

Math Whiteboard Illustration

Loss Percentage

Professor Greenline Explaining Math Concepts

Loss percentage is expressed as a percentage, an important concept in math. We use this concept in businesses, gambling events, careers, and even daily situations. In this topic, we are going to learn more about loss percentage.

Loss Percentage for US Students
Professor Greenline from BrightChamps

What is Loss Percentage in Math?

Loss percentage is the percentage of money or assets lost when the cost price is more than the selling price. If a product is sold for lesser than its original cost, it results in a loss. The loss percentage gives a mathematical idea of the magnitude of the loss.

Professor Greenline from BrightChamps

How to Calculate Loss Percentage?

When an item is sold by the manufacturer for less than its purchase price, the manufacturer will face a loss. The loss percentage reveals exactly how much money is lost. Calculating the loss percentage can help businesses reevaluate their situation. Here is how to calculate the loss percentage.

 

Loss = Cost Price - Selling Price

Here, we subtract the selling price from the cost price.

 

To calculate loss percentage,

Loss Percentage = (Loss / Cost Price) × 100, where, cost price > selling price

 

We divide the loss by the cost price and then we multiply it by 100 to get the percentage.

 

For example, if a product costing $50 is sold for $40. What is the loss?

 

Find the loss:
Loss = Cost Price (C.P) - Selling Price (S.P)
Loss = $50 - $40 = $10

 

Find the Loss Percentage:
Loss Percentage = (Loss / Cost Price) × 100
Loss Percentage = (10/50) × 100 = 20%

Professor Greenline from BrightChamps

Loss Percentage Formulas

Here are a few formulas related to loss percentage:

 

  • Profit Percentage (P %) = (Profit / Cost Price) × 100

 

  • S.P. = {(100 + P %) / 100)} × CP (if SP > CP)

 

  • S.P. = {(100 - L %) / 100)} × CP (if SP < CP)

 

  • C.P. = {100 / (100 + P %)} × SP (if SP > CP)

 

  • C.P. = {100 / (100 - L %)} × SP (if SP < CP)

 

Where, S.P. is the selling price
C.P. is the cost price
P% is the profit percentage
L% is the loss percentage

Professor Greenline from BrightChamps

Properties of Loss Percentage

Properties of loss percentage help us understand how loss affects the original amount and the selling price. Here are a few key properties to understand the loss percentage

 

  • The more the loss, the greater is the loss percentage. 

 

  • Loss percentage cannot be more than 100%, unless the selling price is 0, which doesn’t occur under normal circumstances.

 

  • The loss percentage will always be positive because it represents the difference between the cost price and the selling price when the cost price is higher.
Professor Greenline from BrightChamps

Importance of Loss Percentage

Every business or financial company needs to make smart decisions when it comes to profit and loss. Understanding the importance of loss percentage will help the business strategically. Let us take a look at why learning about loss percentage is crucial.

 

  • Better Decision-making: Knowing how much money is lost helps in making better decisions. 

 

  • Corrective Actions: Calculating the loss percentage is essential as it allows businesses to take corrective actions. 

 

  • The Redemption: It also helps us plan our comeback. Reducing expenses, arriving at better purchase prices, or even increasing the sales price might benefit the business. 
Professor Greenline from BrightChamps

Tips and Tricks to Master Loss Percentage

Understanding loss percentage can be quite confusing so here are some tips and tricks to make loss percentage easy to understand:

 

  • Understanding basics calculation of loss percentage, try to learn more about the difference between selling price, cost price, and loss. 

 

  • Keep practicing the simple examples to get comfortable with loss percentage. Once you understand well enough, you can practice with harder examples.

 

  • Memorize the formulas and make sure you understand what formula to use for the situation.
Professor Greenline from BrightChamps

Real-world applications of Loss Percentage

Loss percentage is used by businesses and companies daily. Here are a few more real-world applications:

 

  • Inventory management: Most warehouses and retailers calculate loss due when an item is damaged, stolen, or spoiled.

 

  • Stock markets: An investor would use the loss percentage formula to check how much money they have lost on their investments.

 

  • Retail shops: Retail stores use loss percentage when selling products at a discount. They use loss percentage to understand how much they are losing from the original cost.
Max Pointing Out Common Math Mistakes

Common Mistakes and how to avoid them in Loss Percentage

When calculating loss percentage, students can often make simple mistakes that can lead to incorrect results. Here are some common mistakes that students make and ways to avoid them.
 

Mistake 1

Red Cross Icon Indicating Mistakes to Avoid in This Math Topic

Confusing loss with discounts
 

Green Checkmark Icon Indicating Correct Solutions in This Math Topic

Students can sometimes get confused between loss percentage and discount percentage. A loss occurs when a product is sold for less than its cost price. Discount is when the seller offers a reduction to the original price of the item (this usually will not incur a loss).
 

Max from BrightChamps Saying "Hey"

Solved Examples

Ray, the Character from BrightChamps Explaining Math Concepts
Max, the Girl Character from BrightChamps

Problem 1

A store buys a pair of shoes for $60 and sells it for $50. What is the loss percentage?

Ray, the Boy Character from BrightChamps Saying "Let’s Begin"

16.67%

Explanation

First we find the loss amount,


Loss = Cost Price - Selling Price = $60 - $50 = $10


Then, we calculate the loss percentage


Loss Percentage = (Loss / Cost Price) × 100 = ($10 / $60) × 100 = 16.67%

Max from BrightChamps Praising Clear Math Explanations
Max, the Girl Character from BrightChamps

Problem 2

A phone is bought for $800 and sold for $650. What is the loss percentage?

Ray, the Boy Character from BrightChamps Saying "Let’s Begin"

18.75%

Explanation

First we calculate the loss amount,


Loss = Cost Price - Selling Price = $800 - $650 = $150


Then, we calculate the loss percentage


Loss Percentage = (Loss / Cost Price) × 100 = ($150 / $800) × 100 = 18.75%

Max from BrightChamps Praising Clear Math Explanations
Max, the Girl Character from BrightChamps

Problem 3

A bicycle is bought for $150 and sold for $120. Find the loss and loss percentage.

Ray, the Boy Character from BrightChamps Saying "Let’s Begin"

Loss amount = $30 and Loss Percentage = $20%
 

Explanation

First we find the loss amount,


Loss = Cost Price - Selling Price = $150 - $120 = $30


Then, we calculate the loss percentage


Loss Percentage = (Loss / Cost Price) × 100 = ($30 / $150) × 100 = 20%

Max from BrightChamps Praising Clear Math Explanations
Max, the Girl Character from BrightChamps

Problem 4

A customer bargains with a shopkeeper and purchases a handbag that originally cost $80 for $60. Find the loss percentage and the loss amount.

Ray, the Boy Character from BrightChamps Saying "Let’s Begin"

Loss percentage = 25% and Loss amount  = $20
 

Explanation

First we find the loss amount,


Loss = Cost Price - Selling Price = $80 - $60 = $20


Then, we calculate the loss percentage


Loss Percentage = (Loss / Cost Price) × 100 = ($20 / $80) × 100 = 25%

Max from BrightChamps Praising Clear Math Explanations
Max, the Girl Character from BrightChamps

Problem 5

A furniture store buys a sofa for $900 and sells it for $765. What is the loss percentage?

Ray, the Boy Character from BrightChamps Saying "Let’s Begin"

 15%
 

Explanation

First we find the loss amount,


Loss = Cost Price - Selling Price = $900 - $765 = $135


Then, we calculate the loss percentage


Loss Percentage = (Loss / Cost Price) × 100 = ($135 / $900) × 100 = 15%

Max from BrightChamps Praising Clear Math Explanations
Ray Thinking Deeply About Math Problems

FAQs on Loss Percentage

1.What is the formula for Loss Percentage?

Math FAQ Answers Dropdown Arrow

2.If an item sold at a discount, would it result in a loss?

Math FAQ Answers Dropdown Arrow

3.Can loss percentage result in a negative answer?

Math FAQ Answers Dropdown Arrow

4.Is it possible for an item to have both a discount percentage and a loss percentage?

Math FAQ Answers Dropdown Arrow

5.How would a business reduce its loss percentage?

Math FAQ Answers Dropdown Arrow

6.How can children in United States use numbers in everyday life to understand Loss Percentage?

Math FAQ Answers Dropdown Arrow

7.What are some fun ways kids in United States can practice Loss Percentage with numbers?

Math FAQ Answers Dropdown Arrow

8.What role do numbers and Loss Percentage play in helping children in United States develop problem-solving skills?

Math FAQ Answers Dropdown Arrow

9.How can families in United States create number-rich environments to improve Loss Percentage skills?

Math FAQ Answers Dropdown Arrow
Math Teacher Background Image
Math Teacher Image

Dr. Sarita Ghanshyam Tiwari

About the Author

Dr. Sarita Tiwari is a passionate educator specializing in Commercial Math, Vedic Math, and Abacus, with a mission to make numbers magical for young learners. With 8+ years of teaching experience and a Ph.D. in Business Economics, she blends academic rigo

Math Teacher Fun Facts Image
Max, the Girl Character from BrightChamps

Fun Fact

: She believes math is like music—once you understand the rhythm, everything just flows!

INDONESIA - Axa Tower 45th floor, JL prof. Dr Satrio Kav. 18, Kel. Karet Kuningan, Kec. Setiabudi, Kota Adm. Jakarta Selatan, Prov. DKI Jakarta
INDIA - H.No. 8-2-699/1, SyNo. 346, Rd No. 12, Banjara Hills, Hyderabad, Telangana - 500034
SINGAPORE - 60 Paya Lebar Road #05-16, Paya Lebar Square, Singapore (409051)
USA - 251, Little Falls Drive, Wilmington, Delaware 19808
VIETNAM (Office 1) - Hung Vuong Building, 670 Ba Thang Hai, ward 14, district 10, Ho Chi Minh City
VIETNAM (Office 2) - 143 Nguyễn Thị Thập, Khu đô thị Him Lam, Quận 7, Thành phố Hồ Chí Minh 700000, Vietnam
Dubai - BrightChamps, 8W building 5th Floor, DAFZ, Dubai, United Arab Emirates
UK - Ground floor, Redwood House, Brotherswood Court, Almondsbury Business Park, Bristol, BS32 4QW, United Kingdom