Arithmetic
Additive Identity
Arithmetic Progression
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
Cartesian System
Order Relation
Polynomials
Probability
Standard Identities & their applications
Transpose
Geometry
Basic Geometrical Terms
Circle
Curves
Angles
Define Line, Line Segment and Rays
Non-Collinear Points
Parallelogram
Rectangle
Rhombus
Square
Three dimensional object
Trapezium
Triangle
Quadrilateral
Trigonometry
Trigonometry Ratios
Data-Handling
Arithmetic Mean
Frequency Distribution Table
Graphs
Median
Mode
Range

Videos
Solved Problems
Home >> Profit and Loss >> Profit >>

Define Profit : Profit = SP - CP

Profit Loss Profit Percentage Loss Percentage Discount

What is Profit ?
When a seller sells a product at a price which is more than his C.P.(cost price), then the seller earns profit/gain.

In other words, when the selling price of a thing is more than its cost price, then profit occurs.
Or we can also represent it as:

If SP > CP, then profit is made

Mathematic formula for Profit is :-
Profit = SP - CP

Let's understand this with the help of following example:

Example: Cost price of shirt is $ 15 and selling price is $18, find whether the shopkeeper earns profit or suffer loss. Also find value of profit or loss.
Solution: As per the given question:

Cost Price or CP = $ 15 (statement 1)
Selling Price or SP = $18 (statement 2)

Now, we know that if SP > CP, then profit is made.
From statement 1 and 2, we get:
Since, $18 > $15

So, it clear that Shopkeeper earns a profit.

Now to find the value of Profit, use the following formula:
Profit = SP - CP

Put values from statement 1 and 2 & we get:
Profit = $18 - $15

Solve Subtraction expression on L.H.S. of equation and we get:

Profit = $3

Hence, shopkeeper earns a profit of $3




Find Cost price when selling price and profit is given.

In some problems or question we are given selling price of a commodity and the profit which seller earns by selling that commodity. And we are asked to find the cost price.

In such cases we use the above explained formula

i.e. Profit = selling price - cost price,

only difference is of procedure for calculating CP.

Read the following example for better understanding:

Example : A toy is sold at a price of $16 and profit earned is $2. Find the cost price at which toy is bought ?
Solution: As per the given question, we get:

SP = $16................( statement 1)

Profit = $2.......(statement 2)

CP is to be calculated.

Apply the formula:

Profit = SP - CP

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

2 = 16 - CP

Subtract 16 from sides and we get:

-14 = -CP

Divide both sides by (-1) and we get:

14 = CP

Or we can also write it as:

CP = 14




Find selling price when cost price and profit is given.

In some problems or question we are given cost price of a commodity and the profit which seller earns by selling that commodity. And we are asked to find the selling price.

In such cases we use the above explained formula

i.e. Profit = selling price - cost price,

only difference is of procedure for calculating SP.

Read the following example for better understanding:

Example : A dress is purchased at a price of $16. Find the selling price at which toy could be sold so that seller earns a profit of $5 ?
solution: As per the given question, we get:

CP = $16................( statement 1)

Profit = $5.......(statement 2)

SP is to be calculated.

Apply the formula:

Profit = SP - CP

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

5 = SP - 16

Add 16 to both sides and we get:

21 = SP

Or we can also write it as:

SP = 21

Study More Solved Questions / Examples

  • A mobile bought for $187 is sold at $ 195. Find profit or loss
  • Jenny purchased a purse for $248 and sold it for $ 258. Find profit or loss
  • Four years back Mr. Jack purchase a house for $5200 and now sold it for $6500. Find whether they earn profit and suffer loss. Also, find the value of profit or loss.
  • Shopkeeper buys a flower for $1 and sells for $2.6. Find profit or loss.
  • Peter sold a washing machine for $ 316 which he actually bought for $ 300. Find his profit.
  • Copyright@2022 Algebraden.com (Math, Algebra & Geometry tutorials for school and home education)