The efficiency \( \eta \) of the lamp is given by the formula:
\[
\eta = \frac{\text{useful flux output}}{\text{electrical power input}} \times 100
\]
The electrical power input is:
\[
P = V \times I = 200 \, \text{V} \times 0.5 \, \text{A} = 100 \, \text{W}
\]
The useful flux output is 3000 lumens. Assuming the conversion factor from lumens to watts is \(1 \, \text{watt} = 683 \, \text{lumens}\) for 100% efficiency:
\[
\text{Efficiency} = \frac{3000}{683 \times 100} \times 100 \approx 30%
\]