We will learn how to solve different examples on profit and loss. We know, cost price is the price at which an article is purchased and selling price is the price at which an article is sold.

Solved examples:

**1.** John sold two
digital cameras at $3,000 each. On one he gains 20% and on the other he loses
20%. What percent does he gain on the whole transaction?

**Solution:**

**For the first digital
camera:**

Gain = 20%.

Let cost price (C.P.) = $100.

Therefore, selling price (S.P.) = $(100 + 20)

= $120.

When selling price (S.P.) is $ 120, cost price (C.P.) is $100.

Therefore, when selling price (S.P.) is $300, cost price (C.P.)

= $100/120 × 300

= $(100 × 300)/120

= $30000/120

= $2,500.

Therefore, cost price (C.P.) of the first digital camera = $2,500.

**For the second digital
camera:**

Loss = 20%

Let cost price (C.P.) = $100.

Therefore, selling price (S.P.) = $(100 - 20) = $80

When selling price (S.P.) is $80, the cost price (C.P.) is $100.

Therefore, when selling price (S.P.) is $300, the cost price (C.P.)

= $100/80 × 300

= $30000/80

= $3,750.

Therefore, cost price (C.P.) of the second digital camera = $3,750.

Thus, total cost price (C.P.) of two digital cameras = $2,500 + $3,750 = $6,250

Total selling price (S.P.) of two digital cameras = $(2 × 3,000) = $6,000.

Thus, cost price (C.P.) > selling price (S.P.) so, there is a loss

Loss = cost price (C.P.) - selling price (S.P.)

= $6,250 - $6,000

= $250.

Percentage loss = loss/cost price × 100

= 250/6250 × 100

= 25000/6250

= 4%

Therefore, John loses 4% on the whole transaction.

More examples on profit and loss:

**2.** Brad bought a laptop
for $8,000 and spent $500 on its spares. He later sold it for $9,500. Find his
gain or loss percent.

**Solution:**

Cost price includes the overhead expenses also.

Therefore, C.P. = $8,000 + $500 = $8,500

and S.P. = $9,500

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

Profit = S.P. - C.P.

= $9,500 - $8500

= $1,000

Profit percent = profit/(C.P.) × 100

= 1000/8500 × 100

= 200/17

= 11 13/17%

Therefore, Brad’s gain percent is 11 13/17%.

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

Calculate Profit or Loss Percent

Calculate Profit and Selling Price

Calculate Loss and Selling Price

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**●** **Profit And Loss - Worksheets**

Worksheet on Calculating Profit or Loss

Worksheet on Calculating Cost Price

Worksheet on Calculating Selling Price

Worksheet on Cost Price and Selling Price

Worksheet on Calculating Profit or Loss Percent

Worksheet on Profit or Loss Percent

Worksheet on Calculating Overhead Charges
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