We define the total electric bicycle sales in 2024 as 100 units and Forkinetics' sales in 2024 as S units
\(T_{2024} = 100\text{ units}\\
F_{2024} = S\text{ units}\)
Forkinetics' sales increased by 20% and total sales increased by 5% from 2024 to 2025
\(T_{2025} = 100 \times 1.05 = 105\text{ units}\)
\(F_{2025} = S \times 1.20\)
Translating
"Forkinetics' market share in 2025 was 2 percentage points higher than in 2024" into a mathematical expression
\(\frac{F_{2025}}{T_{2025}} = \frac{F_{2024}}{T_{2024}} + 0.02\)
We substitute the expressions for \(F_{2025}\), \(T_{2025}\), \(F_{2024}\), and \(T_{2024}\) into the market share equation
\(\frac{1.20S}{105} = \frac{S}{100} + 0.02\)
We solve this equation for \(S\)
\(1.20S = 1.05S + 2.1\)
\(0.15S = 2.1\)
\(S = \frac{2.1}{0.15} = 14\)
We find the combined market share over the two years using total and Forkinetics sales
\(\text{Combined Forkinetics} = 14 + 16.8 = 30.8\)
\(\text{Combined total} = 100 + 105 = 205\)
\(\frac{30.8}{205} \approx 0.15 = 15\%\)
Answer C
Hope this helps!
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