The power input to a $2000$ V$,5$

$0$ Hz$,$ three$-$phase motor running on full$-$load at an efficiency of $90\%$ is measured by two Wattmeter's which indicate $350$ kW and $100$ kW respectively. Calculate

i$)$ Input Power.

ii$)$ Power Factor.

iii$)$ Load Current.

iv$)$ Power Output in watts.

v$)$ Power Output in hp$.$