Its true that Cameron won a majority in 2015- he just didn't manage to serve a full term. John Major took over from Margaret Thatcher (and so was unelected) and

Its true that Cameron won a majority in 2015- he just didn't manage to serve a full term. John Major took over from Margaret Thatcher (and so was unelected) and then despite winning the election in 1992, lost his majority again in 1996. So yes, it seems shocking, but the last Conservative leader to win an election and then serve a full term of majority government was Thatcher from '83 to '87