Neco Model Questions Vol1 2020 Government Question 5

Five political parties (A, B, C, D, E) contest a 100‑seat legislature. The country is divided into five constituencies, each electing 20 seats under a first‑past‑the‑post (FPTP) system where the party with the highest vote share in a constituency wins all 20 seats. The vote shares in each constituency are: - Constituency 1: A 38\%, B 30\%, C 15\%, D 12\%, E 5\% - Constituency 2: B 40\%, A 25\%, C 15\%, D 12\%, E 8\% - Constituency 3: C 35\%, D 30\%, A 15\%, B 10\%, E 10\% - Constituency 4: D 45\%, C 25\%, B 15\%, A 10\%, E 5\% - Constituency 5: E 40\%, A 30\%, B 15\%, C 10\%, D 5\% Under a nationwide proportional representation (PR) system using the Hamilton (largest remainder) method, seats are allocated according to the total vote share of each party across all constituencies (each constituency has the same number of voters). Determine the number of seats Party D obtains under FPTP and under PR, and state which system gives Party D a higher seat count.