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Calculating Percentages of Quantities

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Calculating Percentages of Quantities

Calculator and percentage symbols

📊 Part 1: Basic Percentage Calculations

1. Calculate the following percentages. Show your working by converting to decimals first.

a) 25% of $160 = _______ × $160 = $_______

b) 15% of $240 = _______ × $240 = $_______

c) 30% of 250 kg = _______ × 250 kg = _______ kg

2. Which method would you use to calculate 20% of $350?

0.2 × $350

20 × $350

$350 ÷ 20

$350 + 0.2

3. Calculate 12% of 450 metres. Show your working.

💰 Part 2: Real-Life Applications

4. GST (Goods and Services Tax) in New Zealand is 15%. Calculate the GST on these items:

a) A laptop costing $800: GST = $_______

b) A dinner bill of $65: GST = $_______

c) School shoes costing $120: GST = $_______

5. Sarah earns 8% commission on her sales. How much commission does she earn if she sells:

a) $2,500 worth of products? Commission = $_______

b) $1,750 worth of products? Commission = $_______

6. A jacket originally costs $180. It has a 35% discount. What is the discount amount?
7. Tom puts $500 in a savings account that earns 3% simple interest per year. How much interest will he earn in one year?

🧮 Part 3: Problem Solving

8. A restaurant bill comes to $85 before GST. Calculate:

a) The GST amount (15%): $_______

b) The total bill including GST: $_______

c) If you want to leave a 10% tip on the total bill, how much tip would that be? $_______

9. Which of these calculations are correct? Check all that apply.

25% of $200 = $50

15% of $300 = $45

20% of $150 = $35

10% of $90 = $9

10. Explain in your own words how to calculate 18% of any amount. Give an example.

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