# Profit Loss Formula

Profit and loss formulas are used to calculate the profit or loss that has been made by selling a particular product. The profit and loss formulas majorly find application in business and financial transactions. Profit and loss as a percentage is generally a measure to depict how much profit or loss a trader incurred from any particular deal.

- When the selling price of any product sold is greater than the cost price (the price at which the product was originally bought), gain or profit is made.
- When the selling price of any product sold is lesser than the cost price (the price at which the product was originally bought), the loss is made.

## What Is the Profit Loss Formula?

Profit Formula for a given cost price and selling price of any article can be expressed as:

Profit = Selling price - Cost price

or,

Profit = S.P. - C.P.

Loss Formula for a given cost price and selling price of any article can be expressed as:

Loss = Cost price - Selling price

or,

Loss = C.P. - S.P.

Some other important formulas related to profit and loss are:

- Profit percentage(P%) = (Profit /Cost Price) × 100
- Loss percentage(L%) = (Loss / Cost price) × 100
- S.P. = {(100 + P%)/100} × CP
- S.P. = {(100 – L%)/100} × CP
- C.P. = {100/(100 + P%)} × SP
- C.P. = {100/(100 – L%)} × SP

## Solved Examples Using Profit Loss Formula

**Example 1:**

### A shopkeeper buys juice cans in bulk for $30 each. He sells them for $25 each. Calculate the loss and the loss percentage.

**Solution:**

To find: Loss and Loss Percentage

Given:

Selling price = $30

Cost price = $25

Number of boys = Total number of students - Number of girls

= 27

Using Loss Formula,

Loss = $30 - $25

= $5

Using Loss Percentage Formula,

Loss Percentage = \(\dfrac{5 \times 100}{25}\)

= 20%

**Answer: **Loss on the given purchase and sale is $5 and loss percentage is 20%.

**Example 2:**

### On selling a table for $987, Jane loses 6%. For how much did he purchase it?

**Solution:**

To find: Cost price of the table

Given:

Loss Percentage = 6%

S.P. = $987

If the loss is 6%, it means that if the cost price is $100, the loss incurred is $6.

S.P. when C.P. is $100 = C.P. - Loss

= 100 - 6

= $94

C.P. when S.P. is $94 = $100

CP when SP is $987 = 100/94 × 987 = $1050

**Answer: ** Cost price of the table = $1050

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