/usr/lib/linux-tools/3.13.0-112-generic/perf is in linux-tools-3.13.0-112-generic 3.13.0-112.159.
This file is owned by root:root, with mode 0o777.
It is a symlink to /usr/lib/linux-tools/3.13.0-112-generic/../../linux-tools-3.13.0-112/perf