Last updated on June 4th, 2025
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 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.
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%
Here are a few formulas related to loss percentage:
Where, S.P. is the selling price
C.P. is the cost price
P% is the profit percentage
L% is the 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
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.
Understanding loss percentage can be quite confusing so here are some tips and tricks to make loss percentage easy to understand:
Loss percentage is used by businesses and companies daily. Here are a few more real-world applications:
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.
A store buys a pair of shoes for $60 and sells it for $50. What is the loss percentage?
16.67%
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%
A phone is bought for $800 and sold for $650. What is the loss percentage?
18.75%
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%
A bicycle is bought for $150 and sold for $120. Find the loss and loss percentage.
Loss amount = $30 and Loss Percentage = $20%
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%
A customer bargains with a shopkeeper and purchases a handbag that originally cost $80 for $60. Find the loss percentage and the loss amount.
Loss percentage = 25% and Loss amount = $20
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%
A furniture store buys a sofa for $900 and sells it for $765. What is the loss percentage?
15%
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%
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
: She believes math is like music—once you understand the rhythm, everything just flows!