0580/42 Oct/Nov 2024, Question 1: Expressing One Quantity as a Percentage

Part (ai) · 2 marks

Find the price Anvi pays after a 7.5% discount on $28 240.

1. 1Amount paid = 28 240 × (1 − 7.5/100)
2. 2= 28 240 × 0.925 = $26 122

Answer26 122

Part (aii) · 2 marks

Find the old car's fuel tank capacity, given 45 litres is 72% of it.

1. 1C × 72/100 = 45
2. 2C = 45 ÷ 0.72 = 62.5 litres

Answer62.5

Part (b) · 4 marks

Find the deposit as a percentage of $28 000, using 47 payments of $330, a final $11 490 payment and a $31 900 total.

1. 1Monthly payments = 47 × 330 = 15 510
2. 2Deposit = 31 900 − 11 490 − 15 510 = 4900
3. 3Percentage = 4900/28 000 × 100 = 17.5%

Answer17.5

Part (c) · 2 marks

Find the fuel use rate in litres per 100 km for the whole journey of 64 km and 128 km.

1. 1Total fuel = 2.5 + 6 = 8.5 litres, total distance = 64 + 128 = 192 km
2. 2Rate = 8.5/192 × 100 = 4.427… ≈ 4.43 litres per 100 km

Answer4.43 or 4.427…

Part (d) · 2 marks

Find the car's value at the end of 2022 after a 20% fall then a 15% fall from $46 500.

1. 1Value = 46 500 × (1 − 20/100) × (1 − 15/100)
2. 2= 46 500 × 0.8 × 0.85 = $31 620

Answer31620

More past-paper questions on expressing one quantity as a percentage

• 0580/23 May/Jun 2026 Q1 · 2 marks
• 0580/31 May/Jun 2026 Q5 · 3 marks
• 0580/33 May/Jun 2026 Q11 · 7 marks
• 0580/32 May/Jun 2025 Q5 · 1 mark
• 0580/12 Oct/Nov 2025 Q11 · 6 marks
• 0580/31 Oct/Nov 2025 Q11 · 3 marks