  We explore the multi-component dark matter (DM) scenario considered in a
simple extension of the standard model with an inert scalar doublet and a
singlet fermionic field providing the two DM candidates. The DM states are made
stable under the unbroken $Z_2\times Z_2'$ discrete symmetry. An additional
gauge singlet scalar field is introduced to facilitate the interaction of the
dark fermion with the visible sector. Presence of a charged fermionic field
having the same $Z_2$ charge as that of the inert scalar field allows exploring
the dark matter mass regions otherwise disallowed, like in the standard Inert
Doublet Model (IDM) scenarios. With these arrangements, it is shown that the
light DM scenario and the desert region in the intermediate mass range of DM in
the standard IDM case can be made compatible with the relic density bounds and
direct detection limits. Further, detailed parameter space study is carried out
keeping the coexistence of both the scalar and fermionic components in focus,
showing that sizable parameter space regions are available for the entire mass
range of $10\ \rm GeV \le M_{DM}\le 2000$ GeV.
