Cr (24) = 3d54s1
Configuration . of Cr+3 = 3d4
As Cr+3 has stable t32g configuration so Cr+2 has a tendency to change to Cr+3 hence it is a reducing agent.
Mn (25) =3d54s2
Mn+3 = 3d4
Mn+3 changes to Mn+3 (3d)5 which is half filled state configuration. Hence Mn+3 acts as oxidising agent.