The intensity of irrigation for the $\textit{kharif}$ season is $50 \%$ for an irrigation project with culturable command area of $50,000 $ hectares. The duty for the $\textit{kharif}$ season is $1000$ hectare/cumec. Assuming transmission loss of $10 \%$, the required discharge (in cumec, up to two decimal places) at the head of the canal is _____
