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Last updated on June 4th, 2025

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Profit and Loss

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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 for Omani Students
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What is Profit and Loss?

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.

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Methods to Calculate Profit and Loss

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%.

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Tips and Tricks to Calculate Profit and Loss


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.

  • Memorize basic formulas such as P = SP - CP and L = CP - SP, where P is profit, L is loss, CP is cost price and SP is selling price. 

 

  • Dealing with different numbers: If we need to find the total profit of an item sold at two different prices, we can use the formula,

    Total Profit % = x + y + (xy / 100)

    Let’s assume that a product was initially sold at x% profit and after a few days, at y% profit, then in this situation, the above formula can be used to find the total profit percentage. 

 

 

  • Cross verify answers: Always remember to cross-check your answers with correct logic. For e.g., if the selling price is greater than the cost price, the answer will always be profit. Likewise, if the cost price is greater than the selling price, the answer should be a loss.
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Common Mistakes and How to Avoid Them in Profit and Loss

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.

Mistake 1

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Confusion Between Cost Price and Selling Price
 

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Remember that cost price (CP) is what we pay for a product and selling price (SP) is how much we sell it for.

For e.g., if we buy a pencil for $1 and sell the same pencil for $2, then the CP is $1 and the SP is $2.
 

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Solved Examples for Profit and Loss

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Problem 1

A toy costs $40, and it is sold for $60. Find the profit.

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$20
 

Explanation

 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.

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Problem 2

A book was bought for $80 but sold for $65. Find the loss.

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 $15
 

Explanation

The formula to find loss is, L = CP - SP


Substituting the values, we get, L = 80 - 65 = 15


Hence, the loss is $15.

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Problem 3

A pen costs $10 and is sold for $20. Find the profit percentage.

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100%
 

Explanation

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%.

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Problem 4

A laptop is sold for $8,000 at a 20% loss. Find the cost price.

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$10000.
 

Explanation

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.

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Problem 5

A table costs $2,000. The shopkeeper is selling it at a 20% loss. What is the selling price?

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$1600
 

Explanation

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.

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FAQs on Profit and Loss

1.How to analyze profit and loss?

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2.What is a balance sheet?

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3.How to calculate net income?

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4.What is the full form of Ebitda?

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5.What is the full form of PAT?

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6.How can children in Oman use numbers in everyday life to understand Profit and Loss?

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7.What are some fun ways kids in Oman can practice Profit and Loss with numbers?

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8.What role do numbers and Profit and Loss play in helping children in Oman develop problem-solving skills?

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9.How can families in Oman create number-rich environments to improve Profit and Loss skills?

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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

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Fun Fact

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

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