Arithmetic Additive Identity Associative Property Averages Brackets Closure Property Commutative Property Conversion of Measurement Units Cube Root Decimal Distributivity of Multiplication over Addition Divisibility Principles Equality Exponents Factors Fractions Fundamental Operations H.C.F / G.C.D Integers L.C.M Multiples Multiplicative Identity Multiplicative Inverse Numbers Percentages Profit and Loss Ratio and Proportion Simple Interest Square Root Unitary Method
Algebra Algebraic Equation Algebraic Expression Order Relation Standard Identities & their applications Transpose Cartesian System Linear Equations Probability Polynomials
Geometry Circle Curves Angles Define Line, Line Segment and Rays NonCollinear Points Polygons and its Types Rectangle Rhombus Square Three dimensional object Trapezium Basic Geometrical Terms Parallelogram Triangle
Trigonometry Trigonometry Ratios
DataHandling Arithmetic Mean Graphs Median Mode Range Frequency Distribution Table 
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
Lets 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. Lets 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 Lets 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. Lets 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. Lets 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. Lets 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. Lets 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.


