  We investigate a Left-Right symmetric model respecting $SU(3)_C \otimes
SU(2)_L \otimes U(1)_L \otimes SU(2)_R \otimes U(1)_R$ local gauge symmetry. We
study the interactions of the heavy neutral and charged scalars of this model
along with their production at the hadron collider and their subsequent decays.
We analyze the collider searches of two heavy scalars, one of them is charge
neutral and another one is singly charged. In both the cases we consider their
associated production at the Large Hadron Collider (LHC) and finally
concentrate only on the leptonic final states. We perform both cut-based and
multivariate analysis using Boosted Decision Tree algorithm for 14 TeV as well
as as 27 TeV LHC run with 3000 fb$^{-1}$ integrated luminosity. As expected,
the multivariate analysis shows a better signal-background discrimination
compared to the cut-based analysis. In this article, we show that a charged
Higgs of mass 750 GeV and 1.2 TeV can be probed with $2.77 \sigma$ ($4.58
\sigma$) and $1.38 \sigma$ ($3.66 \sigma$) significance at 14 (27) TeV run of
LHC.
