We　have　investigated　an　initial-boundary　problem　for　the　perturbation　equations　of　rotating,　incompressible,　and　viscous　magnetohydrodynamic　(MHD)　fluids　with　zero　resistivity　in　a　horizontally　periodic　domain.　The　velocity　of　the　fluid　in　the　domain　is　non-slip　on　both　upper　and　lower　flat　boundaries.　We　switch　the　analysis　of　the　initial-boundary　problem　from　Euler　coordinates　to　Lagrangian　coordinates　under　proper　initial　data,　and　get　a　so-called　transformed　MHD　problem.　Then,　we　exploit　the　two-tiers　energy　method.　We　deduce　the　time-decay　estimates　for　the　transformed　MHD　problem　which,　together　with　a　local　well-posedness　result,　implies　that　there　exists　a　unique　time-decay　solution　to　the　transformed　MHD　problem.　By　an　inverse　transformation　of　coordinates,　we　also　obtain　the　existence　of　a　unique　time-decay　solution　to　the　original　initial-boundary　problem　with　proper　initial　data.　©　2017,　The　Author(s).