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%

Â Â Â Therefore, the trader made a profit of 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.