Last updated on June 4th, 2025
Profit and loss refers to the positive and negative differences between two prices, the selling and the cost price. Profit means positive difference and loss means negative difference. The concept of profit and loss is used and applied on a day-to-day basis. Let’s learn more about profit and loss in this article.
Profit and loss are terms often used by entrepreneurs and retailers to know whether a particular business or deal is profitable or not. Even in our daily lives, we apply the concept of profit and loss.
For instance, while shopping for a similar product from two different online stores, we tend to make the purchase from the store that offers the product for a cheaper price. Here, the amount that we save by choosing the store of our choice can be considered as profit.
Profit and loss can be calculated in a few ways. There are certain formulas, as mentioned below, to calculate the profit and loss.
The Basic Formula - Any business will have a selling price and a cost price. So the most basic formula to calculate the profit is:
Profit = Selling Price (SP) - Cost Price (CP)
This is to say that whenever the selling price is more than the cost price, then the business is said to be profitable. Likewise, the basic formula to ascertain the loss is:
Loss = Cost Price (CP) - Selling Price (SP)
When the cost price is greater than the selling price, then the business is said to be under loss.
Profit and Loss Percentage - To find the percentage of the profit or loss, we can use the formulas given below:
Profit % = (Profit / Cost Price) × 100
To calculate the profit percentage, the total profit is divided by the cost price, and the result is multiplied by 100.
For e.g., let’s say an organization invested (cost price) $500 and made a profit of $1000. Now, the profit percentage can be calculated by using the formula,
Profit % = (Profit / Cost Price) × 100
Substituting the values, we get, profit % = (1000 / 500) × 100
Therefore, profit % = 2 × 100 = 200%. This means that the organization made a profit of 200%.
Now, let’s learn the formula to calculate the loss percentage. Loss % = (Loss / Cost Price) × 100
For e.g., assume a company is under loss. The total loss incurred is $2000 and the cost price is $6000. Now, to calculate the loss percentage, just substitute the given numbers in the formula.
Loss % = (2000 / 6000) × 100
Therefore, loss % = 0.3333 × 100 = 33.33%. This means that the company is facing a loss of 33.33%.
Calculating profit and loss can sometimes be tricky for students, especially when dealing with large numbers. So, in this section, we’ll be focusing on a few tips and tricks that we can learn to save time and make our lives easier.
Students are prone to make mistakes when dealing with any mathematical calculations, and profit and loss is not an exception. So, to avoid such mistakes, let us learn about a few common mistakes made while calculating profit and loss.
A toy costs $40, and it is sold for $60. Find the profit.
$20
To find the profit, we use the formula, P = SP - CP
Substituting the values, we get, P = 60 - 40 = 20
Therefore, the profit is $20.
A book was bought for $80 but sold for $65. Find the loss.
$15
The formula to find loss is, L = CP - SP
Substituting the values, we get, L = 80 - 65 = 15
Hence, the loss is $15.
A pen costs $10 and is sold for $20. Find the profit percentage.
100%
To find the profit percentage, let us first find the profit.
So, P = SP - CP
Substituting the values, we get, P = 20 - 10 = 10.
Now, the profit percentage can be found by using the formula,
Profit % = (Profit / CP) × 100
Here, P% = (10 / 10) × 100 = 100
Therefore, the profit percentage is 100%.
A laptop is sold for $8,000 at a 20% loss. Find the cost price.
$10000.
Here, the selling price (SP) is $8000 and the lost percentage is 20%. Now, to find the cost price (CP), we can use the formula,
CP = SP / (1 - Loss %100)
Substituting the values, we get, CP = 8000 / (1 - 20100)
CP = 8000 / (1 - 0.2) = 80000.8 = 10000
Therefore, the cost price of the laptop is $10,000.
A table costs $2,000. The shopkeeper is selling it at a 20% loss. What is the selling price?
$1600
Here, we need to first calculate the loss amount. For that, we use the formula,
Loss Amount = CP × (Loss percentage / 100)
Substituting the values, we get, loss amount = 2000 × (20100)
Therefore, loss amount = 2000 × 0.2 = 400
Now that we know the loss amount, we can find the selling price by using the formula,
SP = CP - Loss Amount
Substituting the values, SP = 2000 - 400 = 1600
Therefore, the selling price is $1600.
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!