# Calculate Profit Percent

We will learn how to calculate profit percent. Profit percentage is always calculated on cost price (C.P.).

Formula to find profit% = profit/C.P. × 100%.

1. By selling goods for $9000; a profit of$1000 is made. Find the profit percent.

Solution:

Given, selling price of goods = $9000 and profit made =$1000

Therefore, C.P. = S.P. - profit

= $9000 -$1000

= $8000 And, profit% = (profit/cost price) × 100% = (1000/8000) × 100% = (1/8) × 100% = 12.5% Therefore, profit percent by selling goods is 12.5%. More examples to calculate profit percent: 2. By selling a machine at$240 a man gains 25%. What would be his gain percent by selling the machine at $216? Solution: Let cost price (C.P.) =$ 100

Gain = 25%

Selling price = $100 +$25 = $125 If selling price is$125, then cost price is $100. If selling price is$1, then cost price is $(100/125) If selling price is$240, then cost price is $100/125 × 240 =$192

Now, if the S.P. is $216, then gain =$216 - $192 =$24

Gain% = gain/cost Price (C.P.) × 100

= 24/192 × 100

= 25/2

= 12      1/2

Therefore, gain percent by selling a machine is 12  1/2%.

3. If the selling price of 20 books is the same as the cost price of 21 books. Find the profit percent.

Solution:

Let cost price of each book be $1 Cost price of 20 books =$1 × 20 = $20. Selling price of 20 books = cost price of 21 books =$21.

Profit = selling price - cost price

= $21 -$20

= \$1

Profits% = profit/cost price × 100

= 1/20 × 100

= 100/20

= 5

Therefore, profit percent is 5%.

To find Profit or Loss when Cost Price and Selling Price are Given

To find Selling Price when Cost Price and Profit or Loss are Given

To find Cost Price when Selling Price and Profit or Loss are Given

Examples on Profit and Loss

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