Gce Model Questions Vol1 2021 Government Question 46

A local council has a total budget of \(£5{,}000{,}000\). It must allocate funds to four services: Waste Management (W), Parks (P), Housing (H) and Roads (R). The original allocation satisfies the following conditions: (i) Waste Management receives exactly \(20\%\) of the total budget, (ii) Parks receives exactly \(40\%\) of the total budget, (iii) Housing and Roads receive equal amounts. After a policy change, Waste Management's allocation must increase by \(10\%\) of its original amount, while the total budget remains unchanged and the equality H = R is retained. Parks' allocation must not exceed \(40\%\) of the total budget. What is the new amount allocated to Housing (in pounds) after the policy change?