Question
GeneralGeneralGeneral

Cost price formula: Definition, examples, and easy steps

Verified Answer

Cost Price is one of the most important concepts in mathematics and commerce. It is widely used in profit and loss calculations, business transactions, accounting, and competitive exams such as SSC, Banking, Railway, NDA, and UPSC. Understanding the cost price formula helps students and business professionals calculate profit, loss, and selling price accurately.

What is Cost Price?

Cost Price, commonly written as CP, is the amount paid to purchase an item or product. It includes the original buying price and sometimes additional expenses such as transportation, packaging, or maintenance costs.

In simple terms:

Cost Price = Price at which an item is purchased

Example:
If a shopkeeper buys a bag for Rs. 800, then:

CP = Rs. 800

Cost Price Formula

The basic cost price formulas are:

1. Cost Price Formula Using Selling Price and Profit

CP = SP - Profit

Where:

  • CP = Cost Price

  • SP = Selling Price

Example:
If the selling price of an item is Rs. 1200 and the profit is Rs. 200:

CP = 1200 - 200
CP = Rs. 1000

2. Cost Price Formula Using Selling Price and Loss

CP = SP + Loss

Example:
If an item is sold for Rs. 700 with a loss of Rs. 100:

CP = 700 + 100
CP = Rs. 800

3. Cost Price Formula Using Profit Percentage

CP = (SP × 100) / (100 + Profit%)

Example:
Selling Price = Rs. 1500
Profit% = 25%

CP = (1500 × 100) / (100 + 25)

CP = 150000 / 125

CP = Rs. 1200

4. Cost Price Formula Using Loss Percentage

CP = (SP × 100) / (100 - Loss%)

Example:
Selling Price = Rs. 900
Loss% = 10%

CP = (900 × 100) / (100 - 10)

CP = 90000 / 90

CP = Rs. 1000

Related Profit and Loss Formulas

Profit Formula

Profit = SP - CP

Loss Formula

Loss = CP - SP

Profit Percentage Formula

Profit% = (Profit / CP) × 100

Loss Percentage Formula

Loss% = (Loss / CP) × 100

Selling Price Formula

SP = CP + Profit

or

SP = CP - Loss

Easy Steps to Solve Cost Price Questions

Step 1: Identify Given Values

Check whether the question provides:

  • Selling price

  • Profit

  • Loss

  • Profit percentage

  • Loss percentage

Step 2: Select the Correct Formula

Choose the formula according to the given information.

Step 3: Substitute the Values

Put the values into the formula carefully.

Step 4: Simplify the Calculation

Solve step-by-step to avoid mistakes.

Real-Life Uses of Cost Price

Cost price calculations are useful in:

  • Business and trade

  • Shopkeeping

  • Accounting

  • Budget planning

  • Financial management

Businesses use cost price to determine:

  • Product pricing

  • Profit margins

  • Discounts

  • Sales strategies

Importance in Competitive Exams

Questions based on cost price and profit-loss are commonly asked in:

  • SSC exams

  • Banking exams

  • Railway exams

  • CAT

  • Defence exams

Students should practice shortcut methods and formulas regularly to improve speed and accuracy.

Common Mistakes Students Make

  • Confusing cost price and selling price

  • Using wrong percentage formulas

  • Ignoring units or decimal values

  • Calculation errors during simplification

Regular practice can help avoid these mistakes.

Understanding the cost price formula is essential for solving arithmetic problems quickly and accurately in academics, business mathematics, and competitive examinations.