A machine is purchased for ₹1,00,000. Its value depreciates by 20% at the end of every year.
a. (i) Show that the value of the machine after n years is ₹1,00,000(0.8)n.
b. (ii) Find the value of the machine after 5 years.
c. (iii) Calculate the total amount by which the machine has depreciated during the first 5 years.
d. (iv) Determine the least number of years after which the total depreciation exceeds ₹90,000.