Gce Model Questions Vol1 2020 Commerce Question 40

Practice objective / multiple choice question 40 from the 2020 Gce Model Questions Vol1 Commerce examination.

Gce Model Questions Vol1 2020 Commerce Objective / Multiple Choice Medium Difficulty
Question 40 GCE_MODEL_QUESTIONS_VOL1 • 2020 • COMMERCE • objective

An insurer offers a fire‑insurance policy with a sum insured of \(\text{₦}2,000,000\). Historical data show that the probability of a fire claim in a year is 0.004 and that the average claim amount, when a fire occurs, is 60 % of the sum insured. The insurer adds a loading of 30 % to cover administrative expenses and a profit loading of 15 % on the pure premium. (a) Calculate the annual gross premium that should be charged. (b) If the insurer wishes to give a 5 % discount on the premium to businesses that install fire‑suppression systems, what is the discounted premium and what is the effective total loading (as a percentage of the pure premium) after the discount?

Answer Options

A. (a) ₦7 200; (b) Discounted premium = ₦6 840; Effective loading ≈ 38.00 %
B. (a) ₦6 480; (b) Discounted premium = ₦6 156; Effective loading ≈ 36.50 %
C. (a) ₦7 500; (b) Discounted premium = ₦7 125; Effective loading ≈ 40.00 %
Correct Answer D. (a) ₦6 960; (b) Discounted premium = ₦6 612; Effective loading ≈ 37.75 %
Correct Answer
D
Correct Option:
(a) ₦6 960; (b) Discounted premium = ₦6 612; Effective loading ≈ 37.75 %

About This Question

This is Gce Model Questions Vol1 2020 Commerce Question 40. It is one of the objective questions from the 2020 Gce Model Questions Vol1 Commerce examination.

Difficulty level: Medium .

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