Waec Model Questions Vol1 2020 Government Question 28

In a state election three parties obtain the following shares of the popular vote: Party X - 48 %, Party Y - 32 %, Party Z - 20 %. The state uses two different electoral systems for its 10 seats: (i) First‑Past‑The‑Post (FPTP) in 10 single‑member constituencies, each with the same vote distribution as the state average; the party with the highest vote share in a constituency wins the seat. (ii) Proportional Representation (PR) with a 5 % threshold, allocating seats by the largest remainder method (Hare quota). Determine the number of seats each party obtains under each system, compute the total absolute difference between each party's seat share and vote share, and state which system yields a more proportional result.