Step 1: Understand the problem.
We are asked to find the length of railway tracks within the capital (Delhi), given that Delhi accounts for 35% of the total length of railway tracks within union territories.
Step 2: Analyze the data for Union Territories.
From the table:
- Narrow Gauge (Union Territories) = 25 km
- Meter Gauge (Union Territories) = 45 km
- Broad Gauge (Union Territories) = 65 km
The total railway network in Union Territories is the sum of the lengths of all three types of tracks:
Total = 25 + 45 + 65 = 135 km
Step 3: Calculate the length of railway tracks in Delhi.
Since Delhi accounts for 35% of the total length of railway tracks within union territories, the length of railway tracks in Delhi is:
\( 35\% \times 135 = \frac{35}{100} \times 135 = 47.25 \, \text{km} \)
Step 4: Conclusion.
The length of railway tracks within the capital (Delhi) is 47.25 km.
Final Answer:
The correct option is (A): 47.25 km.