Gce Model Questions Vol1 2019 Government Question 27

The International Monetary Fund (IMF) Board adopts major policy decisions only when at least \(85\%\) of the total voting share is in favour. The Board consists of \(24\) members whose voting shares sum to \(100\%\). The shares are as follows: - Country X: \(12\%\) - Country Y: \(9\%\) - Country Z: \(7\%\) - Country W: \(5\%\) - Remaining \(20\) members hold these individual shares: \(20\%\), \(15\%\), \(12\%\), \(10\%\), \(8\%\), \(5\%\), \(3\%\), \(2\%\), \(1\%\), and ten members each hold \(1\%\) (total \(10\%\)). Country X wishes to form a coalition with other members (excluding Y, Z, W) to reach the \(85\%\) threshold. What is the minimum number of additional members Country X must include in its coalition, and what is the total voting share of the resulting coalition (including Country X) that meets or exceeds the threshold? Assume members can only be added whole.