0580/43 May/Jun 2024, Question 1: Earnings and Deductions

Part (ai) · 2 marks

Calculate total membership fees from 50 adults at $40 and 70 children at $15.

1. 150 × 40 = 2000
2. 270 × 15 = 1050
3. 32000 + 1050 = $3050

Answer3050

Part (aii) · 1 mark

Express the $2780 running cost as a percentage of the total membership fees received.

1. 12780/3050 × 100
2. 2= 91.1%

Answer91.1 or 91.14 to 91.15

Part (aiii) · 2 marks

Given 120 members in 2023 is a 4% decrease from 2022, find the 2022 member count.

1. 1120 is 96% of the 2022 number
2. 2120 ÷ 0.96 = 125

Answer125

Part (aiva) · 2 marks

Adult and child members each rise by the same number, giving ratio 14:19; find total members in 2024.

1. 1(50 + x) : (70 + x) = 14 : 19
2. 219(50 + x) = 14(70 + x)
3. 3950 + 19x = 980 + 14x, so 5x = 30, x = 6
4. 456 adults and 76 children
5. 5Total = 56 + 76 = 132

Answer132

Part (aivb) · 2 marks

Calculate the percentage increase in total members from 2023 to 2024.

1. 1Increase = 132 − 120 = 12
2. 212/120 × 100 = 10%

Answer10

Part (bi) · 2 marks

Find the village population after 3 years of 3% yearly exponential decrease from 2500.

1. 1Multiplier = 0.97
2. 22500 × 0.97³ = 2281.7…
3. 3≈ 2280

Answer2280 or 2281 to 2282

Part (bii) · 2 marks

Determine the number of complete years until the population first drops below 2000.

1. 12500 × 0.97⁷ = 2019.9… (still above 2000)
2. 22500 × 0.97⁸ = 1959.3… (below 2000)
3. 38 years

Answer8

More past-paper questions on earnings and deductions

• 0580/42 Feb/Mar 2025 Q6 · 3 marks
• 0580/11 May/Jun 2025 Q2 · 2 marks
• 0580/12 Oct/Nov 2025 Q2 · 2 marks
• 0580/31 Oct/Nov 2025 Q11 · 3 marks
• 0580/32 Oct/Nov 2025 Q14 · 5 marks
• 0580/31 May/Jun 2024 Q1 · 15 marks