  After the discovery of a SM-like scalar state with mass of 125 GeV in 2012,
the electroweak sector demands to be studied with all possible theoretical and
experimental efforts. In this work we present a symmetric two Higgs doublet
model with a discrete interchange symmetry between the two Higgs doublets
($\Phi_1$ $\leftrightarrow$ $\Phi_2$). Apart from the SM-like scalar state (h)
with $m_h = 125 $ GeV, the model has several distinguishing features including
the pseudoscalar (A), the charged scalars($H^\pm$) and the neutral scalar H,
which do not have any direct coupling to fermions. The neutral scalar $H$ can
have mass lighter than the 125 GeV SM-like Higgs state $h$. Due to the presence
of a residual $Z_2$ symmetry after the Spontaneous Symmetry Breaking (SSB), the
neutral scalar $H$ emerges as the Dark Matter candidate in this scenario. As an
effect of this possibility, the SM-like scalar $h$ will have an extra invisible
decay mode of $h \rightarrow H H$ in this framework. We propose the model and
discuss some of the interesting features with a guideline of possible
phenomenological searches at the LHC present in this scenario.
