Neco Model Questions Vol1 2017 Government Question 27

Practice objective / multiple choice question 27 from the 2017 Neco Model Questions Vol1 Government examination.

Neco Model Questions Vol1 2017 Government Objective / Multiple Choice Hard Difficulty
Question 27 NECO_MODEL_QUESTIONS_VOL1 • 2017 • GOVERNMENT • objective

A local government area has three districts with populations of 120 000, 80 000 and 100 000 respectively. The LGA receives a total grant of ₦150 million. Each district is first given an equal base amount \(B\) million naira, and the remaining grant is distributed proportionally to population. No district may receive more than 40 % of the total grant.\n(a) Determine the amount each district receives when the base amount is the originally stipulated ₦20 million.\n(b) If the council wishes to increase the base amount by the same amount for every district while keeping the total grant unchanged, what is the greatest possible new base amount \(B'\)?

Answer Options

A. When the base amount is ₦20 million, District X receives ₦56 million, District Y receives ₦44 million and District Z receives ₦50 million. The greatest possible new base amount while keeping the total grant unchanged is ₦45 million.
Correct Answer B. When the base amount is ₦20 million, District X receives ₦56 million, District Y receives ₦44 million and District Z receives ₦50 million. The greatest possible new base amount while keeping the total grant unchanged is ₦50 million.
C. When the base amount is ₦20 million, District X receives ₦58 million, District Y receives ₦42 million and District Z receives ₦50 million. The greatest possible new base amount while keeping the total grant unchanged is ₦52 million.
D. When the base amount is ₦20 million, District X receives ₦54 million, District Y receives ₦46 million and District Z receives ₦50 million. The greatest possible new base amount while keeping the total grant unchanged is ₦48 million.
Correct Answer
B
Correct Option:
When the base amount is ₦20 million, District X receives ₦56 million, District Y receives ₦44 million and District Z receives ₦50 million. The greatest possible new base amount while keeping the total grant unchanged is ₦50 million.

About This Question

This is Neco Model Questions Vol1 2017 Government Question 27. It is one of the objective questions from the 2017 Neco Model Questions Vol1 Government examination.

Difficulty level: Hard .

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