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Home >> Profit and Loss >> Profit Percentage >>

Find Profit Percentage (P%)

Profit Loss Profit Percentage Loss Percentage Discount

Before you understand how to find profit percentage, you are advised to read:

What is Profit ?

Profit Percentage : Profit can also be converted into Profit percentage(%) and is always calculated on Cost price i.e. CP.

Formula for calculation of Profit percentage is :

Profit % = ( Profit / Cost Price ) X 100

Let’s understand the above Profit % formula with the help of following example:

Example 1 : Shopkeeper purchased a pen for $ 10 and sold it with a profit of $ 2. Find Profit % ?
Solution: As per the given question:

Cost Price or CP of the pen = $ 10 ………(statement 1)
Profit earned by the shopkeeper = $ 2………. (statement 2)

Apply the profit% formula:

Profit % = ( Profit / Cost Price ) X 100
Profit % = ( 2 / 10 ) X 100
Profit % = 0.20 X 100
Profit % = 20 %

Hence, shopkeeper earns a profit of 20%



Find Profit%, when values of Cost Price and Selling Price are given:

In some problems you are asked to find profit%, where cost price and selling price of a commodity are given. In such cases we use the same above explained formula and the difference is only in it solution. Let’s try the following example:

Example 2: A shopkeeper purchased a TV for $ 250 and sold it at $ 263. Find the percentage of profit % he earned in this deal ?
Solution: The given things are :

Cost Price : CP = $ 250 …………………..(Statement 1)
Selling Price : SP = $ 265 …………………(statement 2)

And we need to calculate Profit %.
But before we calculate profit %, we need to find Profit and this can be calculated with the following formula:

Profit = SP - CP

Put the values from statement 1 and 2 & we get:

Profit = $ 265 – $ 250

Solve the subtraction expression on the R.H.S of the equation and we get:

Profit = $ 15 …………………. (Statement 3)

Now Let’s find Profit %, with the help of above explained formula and we get:

Profit % = ( Profit / Cost Price ) X 100
Profit % = ( 15 / 250 ) X 100
Profit % = 0.06 X 100
Profit % = 6%



Find Cost Price (CP), when values of Profit% and Profit are given:

In some problems you are asked to find cost price of a commodity, where value of profit and profit% earned by the seller are given. In such cases we use the same above explained formula and the difference is only in it solution. Let’s try the following example:

Example 3: Robert purchased a mobile and sold it at a profit of $ 12. Also profit% in this transaction is 6%. Find cost price of the mobile ?
Solution: As per the given question:

Profit = $ 12…………………..(Statement 1)
Profit % = $ 6%…………………(statement 2)

Now we will use the profit % formula

Profit % = ( Profit / Cost Price ) X 100
6% = (12 / Cost Price) X 100

Transpose the values and we get:

Cost Price = (12 / 6) X 100
Cost Price = 2 X 100
Cost Price = 200

Hence, Robert purchased the mobile for $200.



Find Profit, when values of Profit% and Cost Price (CP) are given:

In some problems you are asked to find Profit which seller earns, where Cost Price of the commodity and profit% earned by the seller are given. In such cases we use the same above explained formula and the difference is only in it solution. Let’s try the following example:

Example 4 : Shopkeeper purchased a shirt for $ 20 and sold it at a profit% of 5%. Find the profit earns in this transaction ?
Solution: As per the given question:

Cost Price or CP = $20…………………..(Statement 1)
Profit % = $5%…………………(statement 2)

And we need to calculate Profit
We use the same formula to calculate CP:

Profit % = ( Profit / Cost Price ) X 100
5 = ( Profit / 20 ) X 100

Transpose the values and we get:

Profit = ( 5 X 20 ) / 100
Profit = 100 / 100
Profit = 1

Hence, shopkeeper earns a profit $1.



Find Selling (SP), when values of Profit% and Profit are given:

In some problems you are asked to find selling price of a commodity, where value of profit and profit% earned by the seller are given. In such cases we use first find CP and then SP is calculated. Let’s try the following example:

Example 5 : Tina purchased a table and sold it at a profit of $ 12. Also profit% in this transaction is 6%. Find selling price of the table ?
Solution: As per the given question:

Profit = $12…………………..(Statement 1)
Profit % = $6%…………………(statement 2)

Firstly calculate Cost price and to calculate this we use the following formula:

Profit % = ( Profit / Cost Price ) X 100
6 = ( 12 / Cost Price ) X 100

Transpose the values and we get:

Cost Price = (12 / 6 ) X 100
Cost Price = 2 X 100
Cost Price = 200 …………………(statement 3)

Therefore, Cost price of the table is $200

Now, to calculate the Selling price of the table, we use the following formula:
Profit = Selling Price – Cost Price

Put the values from Statement 1 and statement 3 & we get:
12 = SP – 200

Add 200 on both sides and we get:
212 = SP

Or we can also write it as:
SP = 212

Hence, Selling price of the table is $212.



Find Selling Price (SP), when values of Profit% and Cost Price (CP) are given:

In some problems you are asked to find selling price of the commodity, where Cost Price of the commodity and profit% earned by the seller are given. In such cases we first find the value of profit earned and then selling price is calculated. Let’s try the following example:

Example 6: Shopkeeper purchased a shirt for $ 20 and sold it at a profit% of 5%. Find the selling price at which the shirt was sold.
Solution: As per the given question:

Cost Price or CP = $ 20…………………..(Statement 1)
Profit % = $ 5%…………………(statement 2)

And we need to calculate Profit
We use the same formula to calculate CP:

Profit % = ( Profit / Cost Price ) X 100

5 = ( Profit / 20 ) X 100

Transpose the values and we get:

Profit = ( 5 X 20 ) / 100
Profit = 100 / 100
Profit = 1 …………………(statement 3)

Therefore, shopkeeper earns a profit $1.

Now, to calculate Selling price of the shirt; we use the following formula:

Profit = Selling Price – Cost Price

Put the values from above statement 1 and statement 3 & we get:
1 = SP - 20

Add 20 on both sides and we get:
21 = SP

Or we can also write it as;
SP = 21

Hence, selling price of the shirt is $21.



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