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Home >> Profit and Loss >> Profit Percentage >> Find Profit Percentage (P%)
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.

