  Single crystals of non-centrosymmetric $s$-wave superconductor
LaPt$_{0.88}$Si$_{1.12}$ have been grown by the Czochralski (Cz) technique,
whose crystal structure is described by the space group $I4{_1}md$ at ambient
conditions. The inter-site mixing between platinum and silicon is confirmed by
both single-crystal x-ray diffraction (SXRD) and electron probe micro-analyzer
(EPMA). The disordered material exhibits a lower superconducting (SC)
transition temperature $T_c$ at 2.02 K as opposed to the highest value of 3.9 K
reported in polycrystalline LaPtSi without inter-site mixing. From specific
heat, the Sommerfeld coefficient ($\gamma$) is estimated to be 7.85 mJ/mol
K$^2$, which is much larger than the values reported for the samples exhibiting
higher $T_c$. This is unprecedented as $T_c$ seems to decrease with increase in
the electron density of states (DOS) at the Fermi energy and thus $\gamma$. The
present work reports on the anomalous behaviour of SC and normal state
properties of LaPt$_{x}$Si$_{2-x}$, presumably caused due to the existence of
non-trivial topological bands.
