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Solved Problems
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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