The fuel cost per hour for running a train is proportional to the square of the speed it generates in km per hour. If the fuel costs ₹ 48 per hour at speed 16 km per hour and the fixed charges to run the train amount to ₹ 1200 per hour. Assume the speed of the train as `v` km/h.
The total cost of the train to travel 500km at the most economical speed is:

Options

A. ₹ 3750
B. ₹ 75000
C. ₹ 7500
D. ₹ 15000

Answer

D