  We provide a strange star model under the framework of general relativity by
using a general linear equation of state (EOS). The solution set thus obtained
is employed on altogether 20 compact star candidates to constraint values of
MIT bag model. No specific value of the bag constant ($B$) a-priori is assumed
rather possible range of values for bag constant is determined from
observational data of the said set of compact stars. To do so the
Tolman-Oppenheimer-Volkoff (TOV) equation is solved by homotopy perturbation
method (HPM) and hence we get a mass function for the stellar system. The
solution to the Einstein field equations represents a non-singular, causal and
stable stellar structure which can be related to strange stars. Eventually we
get an interesting result on the range of the bag constant as
41.58~MeV~fm$^{-3}< B <$319.31~MeV~fm$^{-3}$. We have found the maximum surface
redshift $Z^{max}_{s}=0.63$ and shown that the central redshift ($Z_c$) can not
have value larger than $2k$, where $k=2.010789 \pm 0.073203$. Also we provide a
possible value of bag constant for neutron star (NS) with quark core using
hadronic as well as quark EOS.
