Darren Mackie added a second after 76 minutes before Rangers' Nacho Novo was dismissed for a lunge on Stuart Duff.

BBC: Aberdeen 2-0 Rangers

Ledley's winner followed a free-kick by Ki Sung-Yueng, but Butcher felt Stuart Duff had been harshly penalised for a challenge on Emilio Izaguirre.

BBC: Joe Ledley heads Celtic's winner

The hosts made a lively start, with Aluko darting down the right before crossing for Stuart Duff, but the midfielder's shot was easily blocked by former Don Lee Mair.

BBC: Steve MacLean and Zander Diamond celebrate