Final answer:
The efficiency of the engine is 80%.
Step-by-step explanation:
The efficiency of an engine is calculated by dividing the useful work output by the total energy input. In this case, the engine discharges 100.0 J of work while absorbing 125.0 J of energy each cycle. The efficiency can be calculated by dividing the work output by the energy input and multiplying by 100%:
Efficiency = (Work Output / Energy Input) * 100%
Efficiency = (100.0 J / 125.0 J) * 100% = 80%
Therefore, the efficiency of the engine is 80% (option c).