 # Calculate Cost Price using Sell Price and Profit Percent – Formula, Examples

Calculate Cost Price using Sell Price and Profit Percent when the inputs are Sell Price and Profit Percent and the output is Cost Price. By simply using the Cost Price formula, one can find out the Cost Price of a product. The cost price is always less than the selling price when the profit percent is given. We have detailed explanations and solved examples are included in this article. All the different methods to find Cost Prices using Sell Price and Profit Percent are given below.

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## How to Calculate Cost Price Using Sell Price and Profit Percent?

Follow the below process to find out the Cost Price Using Sell Price and Profit Percent. Also, get the Cost Price Formula to solve all the problems.

1. Write down the Sell Price and Profit Percent.
2. Note Down the Cost Price Formula.
3. Substitute the Sell Price and Profit Percent in the Cost Price Formula.
4. Finally, find out the Cost Price Using Sell Price and Profit Percent.

### Cost Price Formula

Use the below formulas according to the problem and get the cost price easily.

Cost price = selling price – profit
Cost price = selling price – profit% × cost price/100
The Cost price + profit% × cost price/100 = selling price
Cost price(1 – profit%)/100 = selling price
Cost price(100 + profit%)/100 = selling price
Also, cost price = selling price × 100/100 + profit% (on cross multiplication);
Here, selling price and loss% is known.

### Finding Cost Price Using Sell Price and Profit Percent Examples

1. A box was sold for $428 thereby gaining 8%. Find the cost price of the bag? Solution: Given that a box was sold for$428 thereby gaining 8%.
The selling price = $428 Gain Percentage = 8% We know that cost price = selling price × 100/100 + gain% Substitute the selling price and the gain% in the above formula. Cost price =$428 × 100/(100 + 8)
Cost price = $428 × 100/108 The Cost price =$42800/108 = $396.29 Therefore, the cost price of the bag is$396.29

2. A fan was sold for $625 thereby gaining 15%. Find the cost price of the fan. Solution: Given that a fan was sold for$625 thereby gaining 15%.
The selling price = $625 Gain Percentage = 15% We know that cost price = selling price × 100/100 + gain% Substitute the selling price and the gain% in the above formula. Cost price =$625 × 100/(100 + 15)
Cost price = $625 × 100/115 The Cost price =$62500/115= $543.47 Therefore, the cost price of the fan is$543.47

3. By selling a mobile for $1,240, a trader gains 10%. Find the cost price of the mobile? Solution: Given that by selling a mobile for$1,240, a trader gains 10%.
The selling price = $1,240 Gain Percentage = 10% We know that cost price = selling price × 100/100 + gain% Substitute the selling price and the gain% in the above formula. Cost price =$1240 × 100/(100 + 10)
Cost price = $1240 × 100/110 The Cost price =$124000/110 = $1127.27 Therefore, the cost price of the mobile is$1127.27

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