Gce Model Questions Vol1 2024 Civic Education Question 12

A country uses a mixed‑member proportional representation system with a total of 120 seats, of which 80 are constituency seats and 40 are list seats. In the last election the parties obtained the following votes: - Party A: 576,000 votes - Party B: 384,000 votes - Party C: 240,000 votes The total number of valid votes is 1,200,000. Seat allocation is done using the largest‑remainder (Hamilton) method: first compute the quota \(Q = \frac{\text{total votes}}{\text{total seats}}\), then each party receives \(\left\lfloor\frac{\text{party votes}}{Q}\right\rfloor\) seats, and any remaining seats are given one by one to parties with the largest fractional remainders. The constituency results are: Party A wins 55 constituency seats, Party B wins 20, and Party C wins 5. How many list seats does each party receive after the proportional allocation is applied?