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

We will learn how to find profit or loss when cost price and selling price are given.

Profit percent and loss percent are always calculated on cost price (C.P.) only.

I. Formula to find profit percent when cost price and selling price are given;

Profit = selling price - cost price

Therefore, profit% = (profit/cost price) × 100%

II. Formula to find loss percent when cost price and selling price are given;

Loss = cost price - selling price

Therefore, loss% = (loss/cost price) × 100%

1. Mike buys a laptop for $840 and sells it for$900. Find his profit or loss percent.

Solution:

Cost price (C.P.) of the laptop = $840 Selling price (S.P.) of the laptop =$900

Since, S.P. > C.P., there is a profit

Profit = selling price - cost price

= $900 -$840

= $60 Profit% = (profit/cost price) × 100% = (60/840) × 100% = 50/7 = 7 1/7% Therefore, the profit percent is 7 1/7% 2. Kate bought an article for$1750 and sold it for $1680. Find her gain or loss percent. Solution: Cost price of the article =$1750

Selling price of the article = $1680 Since, C.P. > S.P. there is a loss Loss = cost price - selling price =$1750 - $1680 =$70

Loss% = (loss/cost price) × 100%

= (70/1750) × 100%

= 4%

Therefore, the loss percent is 4%.

More examples to find profit or loss when cost price and selling price are given:

3. Find the profit or loss as percent; when a car is bought for $25000 is sold for$28000.

Solution:

Given, cost price of car = $25000 and selling price of it =$28000

Therefore, profit = $28000 -$25000 = $3000 Profit percent = (profit/cost price) × 100% = (3000/25000) × 100% = 12% Therefore, the profit percent is 12%. 4. Larry purchases an article for$400 and sold it for $380. Calculate her gain or loss percent. Solution: Given, cost price of an article =$400 and selling price of it = $380 Therefore, loss =$400 - $380 =$20

Loss percent = (loss/cost price) × 100%

= (20/400) × 100%

= 5%

Therefore, the loss percent is 5%

5. Aaron bought an article for $120 is sold for$150. Find the gain or loss percent.

Solution:

Given, cost price = $120 and selling price =$150

Therefore, gain = $150 -$120 = $30 gain% = (gain/cost price) × 100% = (30/120) × 100% = 25% Therefore, the gain percent is 25% 6. James bought a bicycle for$600 and is sold for $550. Find profit or loss percent. Solution: Given, cost price =$600 and selling price = $550 Therefore, loss = C.P. - S.P. =$600 - $550 =$50

loss percent = (loss/cost price) × 100%

= (50/600) × 100%

= 25/3%

= 8 1/3%

Therefore, the loss percent is 8  1/3%

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

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