A rectangular swimming pool is 15 m long and 7 m wide. A path 1 m wide is constructed outside the swimming pool. Find the area of the path and the cost of constructing it at the rate of ₹50 per m.
a) Area of the path: 96 sq. m, Cost: ₹4800
b) Area of the path: 78 sq. m, Cost: ₹3900
c) Area of the path: 108 sq. m, Cost: ₹5400
d) Area of the path: 90 sq. m, Cost: ₹4500