Right answer is (a) 79kg
To explain I would say: Given,
Design take-off gross weight, W0 = 1525lb
Crew load = 150kg = 150*2.205lb = 330.693lb
Payload weight = 520lb, fuel weight = 500lb
Now the design take – off gross weight is given by,
W0 = Wcrew + Wpayload + Wfuel + Wempty
1525 = 330.693 + 520 + 500 + Wempty
So, Wempty = 174.307lb = 79 kg.