Step 1: Plot total area is calculated as:
\[
{Total area} = 20 \times 15 = 300 \, {m}^2
\]
Step 2: With 50% ground coverage, the building's ground footprint is:
\[
{Ground coverage} = 0.5 \times 300 = 150 \, {m}^2
\]
Step 3: A Floor Area Ratio (FAR) of 3.0 permits a total construction area of:
\[
{Total floor area} = {FAR} \times {Total area} = 3.0 \times 300 = 900 \, {m}^2
\]
Step 4: The potential number of floors is determined by dividing total floor area by ground coverage:
\[
{Number of floors} = \frac{{Total floor area}}{{Ground coverage}} = \frac{900}{150} = 6
\]
Conclusion: A maximum of 6 floors can be constructed on the plot.