# Class 5 Math Worksheet on Profit and Loss Questions

Last updated on July 7th, 2023 at 10:21 pm

Â Â Â  Therefore, the shopkeeper made a profit of 20%.

[Q] Â Â Â A trader bought 100 pens for \$80 and sold them for \$120. What is the profit or loss percentage?

Solution:

Â Â Â  Cost price of 100 pens = \$80

Â Â Â  Selling price of 100 pens = \$120

Â Â Â  Profit = Selling price – Cost price = \$120 – \$80 = \$40

Â Â Â  Profit percentage = (Profit/Cost price) x 100 = (\$40/\$80) x 100 = 50%

[Q] Â Â A company sold 500 units at a selling price of \$10 each. The cost price of each unit was \$12. What is the profit or loss percentage?

Solution:

Â Â Â  Cost price of 1 unit = \$12

Â Â Â  Selling price of 1 unit = \$10

Â Â Â  Loss = Cost price – Selling price = \$12 – \$10 = \$2

Â Â Â  Total loss from selling 500 units = 500 x \$2 = \$1000

Â Â Â  Total cost price of 500 units = 500 x \$12 = \$6000

Â Â Â  Loss percentage = (Loss/Cost price) x 100 = (\$1000/\$6000) x 100 = 16.67%

Â Â Â  Therefore, the company made a loss of 16.67%.

[Q] A shopkeeper bought a batch of toys for \$500 and sold them for \$600. If the profit percentage was 20%, what was the selling price of each toy?

Solution:

Â Â Â  Cost price of each toy = \$500/number of toys = \$500/x

Â Â Â  Profit percentage = 20%

Â Â Â  Profit = 20% of cost price = 0.2 x \$500/x = \$100/x

Â Â Â  Selling price of each toy = cost price + profit = \$500/x + \$100/x = \$600/x

Â Â Â  Selling price of the whole batch of toys (x toys) = \$600

Â Â Â  \$x = 10

Â Â Â  Therefore, the selling price of each toy was \$60.

[Q] A trader sold a camera at a loss of 25%. If the selling price was \$600, what was the cost price of the camera?

Solution:

Â Â Â  Selling price of the camera = \$600

Â Â Â  Loss percentage = 25%

Â Â Â  Loss = Loss percentage x Cost price = 25% x Cost price = 0.25 x Cost price

Â Â Â  Selling price = Cost price – Loss = \$600

Â Â Â  Cost price – 0.25 x Cost price = \$600

Â Â Â  0.75 x Cost price = \$600

Â Â Â  Cost price = \$800

Â Â Â  Therefore, the cost price of the camera was \$800.

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