A hall with dimensions 25 metres long and 15 metres broad is surrounded by a path of uniform width of 3.5 metres. The cost of flooring the path, at ₹25.50 per square metre is:

Length of hall = 25m

Breadth of hall = 15m 

Width of path = 3.5m 

Length of hall with path = 25 + 3.5 + 3.5 = 32m

Breadth of hall with path = 15 + 3.5 + 3.5 = 22m

Area of rectangular space = $$Length\times\ Breadth$$

Area of path = Area of hall with path - Area of path 

= $$\left(32\times\ 22\right)-\left(15\times\ 25\right)$$ 

= 704 - 375 = 329$$m^2$$

Cost of flooring the path = Area$$\times\ rate$$

= $$329\times\ 25.50=₹8389.5$$

Hence, Option A is correct.