smc

Let $n$ be the original population. When $1,200$ people came, the new population was $n+1200$. Then, since the new population decreased by $11\%$, we must multiply this new population by $.89$ to get the final population. This is equal to $(0.89)(n+1200)=0.89n+1068$. We're given that this is $32$ less than the original popluation, $n$. Therefore, $0.89n+1068=n-32⟹0.11n=1100⟹n=\frac{1100}{0.11}=10000,\boxed{10,000}$.