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Profit and Loss Percentages

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Profit and Loss Percentages

Business calculator and money illustration

📊 Part 1: Understanding Profit and Loss

Key Formulas:

• Profit % = (Profit ÷ Cost Price) × 100

• Loss % = (Loss ÷ Cost Price) × 100

• Profit = Selling Price - Cost Price (when SP > CP)

• Loss = Cost Price - Selling Price (when CP > SP)

1. A school canteen buys sandwiches for $3.50 each and sells them for $5.00 each. What is the profit percentage?
2. Sarah bought a concert ticket for $80 but had to sell it for $65. What is her loss percentage?
3. A local café purchases coffee beans for $12 per kg and sells coffee made from those beans at a 40% profit. What is the selling price per kg?

💼 Part 2: Business Scenarios

4. Complete the table for this small business selling handmade jewellery:
Item Cost Price Selling Price Profit/Loss Profit/Loss %
Necklace $25 $35 _______ _______
Bracelet $18 $15 _______ _______
Earrings $12 $20 _______ _______
5. A charity fundraiser bought 50 raffle tickets at $2 each and sold them all for $4 each. Calculate:

a) Total cost price: $__________

b) Total selling price: $__________

c) Total profit: $__________

d) Profit percentage: __________%

6. Multiple Choice: A shop buys items for $60 and wants to make a 25% profit. What should the selling price be?

$75

$85

$65

$80

🧮 Part 3: Problem Solving

7. Jake runs a small business selling phone cases. He bought 20 cases for $8 each. He sold 15 cases for $15 each and had to sell the remaining 5 cases for $6 each due to damage. Did Jake make a profit or loss overall? Calculate the percentage.
8. A local bakery has the following weekly results. Calculate the overall profit or loss percentage:

• Cost of ingredients and supplies: $850

• Total sales revenue: $1,190

Show your working:

9. Explain in your own words: Why is it important for businesses to calculate profit and loss percentages rather than just dollar amounts?

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