Dark matter (DM) remains one of the most intriguing and unresolved mysteries in our understanding of the universe. While its true nature remains uncertain, numerous observational evidences point to its existence in the universe. Neutron stars (NS), with their dense and strongly gravitating environments, offer an excellent opportunity to explore the presence of DM. The core of NS, where the density surpasses several times the nuclear saturation density, could potentially harbour a mixture of DM and ordinary nuclear matter(NM). In this work, we use a Relativistic Mean Field (RMF) approach for constructing the NM Equation of State (EoS) and the DM EoS. Using the two-fluid approach, where DM interacts with NM only via gravity, we investigate its influence via DM particle mass and DM fraction on NS properties. We observe that EoS of DM-admixed NS softens or stiffens depending on various DM parameters and influence the NS observables accordingly.