A trainee engineer receives a stipend that forms an arithmetic progression: during the first month she is paid ₹24,000; thereafter her monthly stipend increases by ₹1,200 every month.
(i) Find the total stipend she receives in the first year (12 months).
(ii) Determine the total stipend she will receive during her entire two–year training period.
(iii) After how many months in training will her cumulative stipend first exceed ₹10,00,000? Show complete working.