Neco Model Questions Vol1 2023 Government Question 24

Federal allocations to local governments are computed with the formula \[\text{Allocation}=B\left[0.6\left(\frac{P}{P_{\text{tot}}}\right)+0.4\left(\frac{A}{A_{\text{tot}}}\right)\right]\] where \(B\) is the base grant, \(P\) and \(A\) are respectively the population and land‑area of the local government, and \(P_{\text{tot}}\) and \(A_{\text{tot}}\) are the total population and total land‑area of the three local governments considered. The data are: - Total population \(P_{\text{tot}} = 1{,}200{,}000\); total area \(A_{\text{tot}} = 3{,}000\) \(\text{km}^2\). - LGA 1: \(P = 500{,}000\), \(A = 1{,}200\) \(\text{km}^2\), base grant \(B = ₦100{,}000{,}000\). (i) Compute the allocation for LGA 1. (ii) If LGA 1's population increases by 10 % while its area remains unchanged, compute the new allocation and the percentage increase in the allocation (to one decimal place).