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**Cost Price Formula**

The CP formula, also known as the Cost Price formula, is used to calculate the original or initial cost price of an item or product. It is commonly used in finance, accounting, and business contexts to determine the cost at which an item was purchased or produced.

### **CP Formula**

The general formula for calculating the cost price (CP) is:

CP = SP – Profit

Where:

- CP is the cost price.

- SP is the selling price.
- Profit is the amount of profit earned on the item.

The CP formula allows you to find the original cost of an item when you know the selling price and the profit made on it. By subtracting the profit from the selling price, you can determine the cost at which the item was initially acquired or produced.

**Conclusion:**

The CP formula is particularly useful in calculating profit margins, determining break-even points, and analyzing the financial performance of a business. It helps in understanding the relationship between the selling price, profit, and cost incurred in the production or acquisition of goods or services.

It’s important to note that the CP formula assumes that there are no additional expenses or costs associated with the item other than the cost price itself. In practice, there may be other factors such as taxes, overheads, or transportation costs that can influence the overall cost of an item.

Overall, the CP formula provides a simple and straightforward way to calculate the cost price of an item based on the selling price and profit earned.

**Solved Examples on CP Formula:**

**Example 1:** A product is sold for ₹ 200, and the profit earned on it is ₹50. Find the cost price of the product.

Solution:

Using the CP formula, we have:

CP = SP – Profit

CP = ₹200 – ₹50

CP = ₹150

Therefore, the cost price of the product is ₹150.

**Example 2**: A company sells a product for ₹1200, and it incurs a loss of ₹200 on the sale. Find the cost price of the product.

Solution:

Using the CP formula, we have:

CP = SP – Loss

CP = ₹1200 – (- ₹200) (Note: Loss is represented as a negative value)

CP = ₹1200 + ₹200

CP = ₹1400

Therefore, the cost price of the product is ₹1400.

**Example 3:** A retailer sells a watch for ₹80 and earns a profit of 25% on the sale. Find the cost price of the watch.

Solution:

First, calculate the profit amount:

Profit = (Profit Percentage/100) x CP

₹20 = (25/100) x CP

₹20 = 0.25 x CP

Now, rearrange the equation to solve for CP:

CP = ₹20 / 0.25

CP = ₹80

Therefore, the cost price of the watch is ₹80.

**Also read: Profit and Loss**

**Frequently Asked Questions (FAQs) on Cost Price(CP) Formula**

### What is cost price?

Cost price refers to the amount spent on acquiring or producing a product, including expenses such as raw materials, manufacturing costs, and overheads.

### What is the formula for cost price?

The formula for cost price is determined by dividing the total cost incurred to acquire or produce an item by the quantity of items acquired or produced. It can be represented as Cost Price = Total Cost / Quantity. This formula calculates the average cost per unit of the item.

### What is an example of a cost price?

An example of a cost price is the amount paid by a retailer to purchase goods from a supplier. For instance, if a retailer buys 100 shirts from a supplier for ₹10 each, the cost price per shirt would be ₹10. So, the cost price for the 100 shirts would be ₹10 multiplied by 100, resulting in a total cost of ₹1,000.

### What is the difference between cost price and selling price?

The difference between cost price and selling price lies in their definitions and purpose. Cost price refers to the amount spent on acquiring or producing a product, including expenses such as raw materials, manufacturing costs, and overheads. Selling price, on the other hand, is the price at which the product is sold to customers. It includes the cost price plus any desired profit margin. The selling price is typically higher than the cost price to ensure profitability and cover additional expenses such as marketing, distribution, and taxes.

### What is the profit on cost price?

The profit on cost price is a measure of the profitability of a product or business, expressed as a percentage of the cost price. It is calculated by subtracting the cost price from the selling price, dividing the result by the cost price, and multiplying by 100.

**What is the formula for profit?**

**Answer:** The formula for profit can be calculated using the following equation:

Profit = Selling Price (SP) – Cost Price (CP)

In this formula, the selling price is the amount at which a product or service is sold, and the cost price is the amount at which the product or service was acquired or produced. Subtracting the cost price from the selling price gives the profit earned from the transaction.

**What is the formula of loss on CP? **

**Answer:** Loss on CP = CP – Selling Price (SP)

This formula calculates the loss incurred on an item or transaction by subtracting the selling price from the cost price. The loss on CP represents the monetary difference between the amount at which the item was acquired and the amount at which it was sold, resulting in a financial loss.

**What is the cost price formula when loss percentage is given? **

**Answer:** Cost price formula when loss percentage and SP is given is expressed as,

Cost price formula = {100/ (100 – Loss%)} × SP.

**What is the difference between cost price and market price? **

**Answer:** The factor cost refers to the cost of factors of production that is directly incurred by a firm when producing goods and services. The market price is the price that consumers will pay for the product when they purchase it from the sellers, and it is made partially of the factor cost.

**What is the Cost Price Formula when gain Percentage is given? **

**Answer:** Cost price formula when gain (profit) percentage and selling price is given as,

Cost price formula = {100/(100 + Profit%)} × SP.

**What is the loss percent of CP? **

**Answer:** To calculate the loss percentage of CP (Cost Price), you would need additional information such as the selling price (SP) or the amount of loss incurred. The formula to calculate loss percentage is given by:

Loss Percentage = (Loss / CP) * 100

Where Loss is the difference between CP and SP.

Without specific values for CP, SP, or the amount of loss, it is not possible to determine the loss percentage of CP.