  We investigate the effect of the current measurement of the neutral $B_s$
meson mass difference, $\Delta M_{B_s}$, on SUGRA models which have non-zero
values of the soft breaking terms $(m^2_{LL,RR})_{23}$ and $A^{u,d}_{23}$ at
the GUT scale. We use non-zero values of these parameter to explain the $B\to
K\pi$ puzzle and find that even after satisfying the experimental result on
$\Delta M_{B_s}$ and the branching ratio (BR) of $b\to s\gamma$ we still can
explain the puzzle. Further we show that in this parameter space it is possible
to accommodate the large BR of $B\to \eta' K$ and the current experimental data
for CP asymmetries of $B\to \eta' K^0$ and $B\to \phi K^0$. The predicted value
of $\sin (2\beta^{\rm eff})_{\eta' K^0}$ is about $0.52-0.67$.
