Two points $X$ and $Y$ are on the sides $PQ$ and $PR$ of $\triangle PQR$. Extend $PQ$ and $PR$ upto $S$ and $T$ respectively such that, $QS=PX$ and $RT=PY$. $QT$ and $RS$ intersect at $L$. If the area of $\triangle LST=150$ units and the area of $\triangle PXY=32$ units, then find the area of $\triangle LQR$.