Short Answer 
The area of the park is calculated as 2500 m², while the inner square (without the path) covers 2025 m². This results in a path area of 475 m², leading to a total levelling cost of ₹4,750.
Step 1: Calculate the Area of the Park
Start by determining the area of the entire park, which is a square. To do this, use the formula for the area of a square:
- The park has each side measuring 50 meters.
- Calculate the area using the formula: Area = side √ó side.
- This results in: Area of park = 50 m × 50 m = 2500 m².
Step 2: Determine the Area of the Inner Square
Next, calculate the area of the inner square, which represents the park excluding the path. The path is 2.5 meters wide, affecting the square’s dimensions:
- Each side of the inner square is reduced by 2 times the width of the path: 50 m ‚àí 2 √ó 2.5 m = 45 m.
- Now, calculate the area of this inner square: Area of inner square = 45 m × 45 m = 2025 m².
Step 3: Calculate the Area and Cost of the Path
Finally, compute the area of the path by subtracting the inner square’s area from the total area of the park. Then, determine the levelling cost:
- Area of path = 2500 m² − 2025 m² = 475 m².
- The cost of levelling is ‚Çπ10 per square meter.
- So the total cost becomes: Cost of levelling = 475 m² × 10 ₹/m² = 4750 ₹.
Thus, the cost of levelling the path is ‚Çπ4,750.