Arjun decides to save money every week. He saves Rs 20 in the first week, and each subsequent week he increases the amount saved by Rs 5. He wishes his total savings not to exceed Rs 550.
(i) Write an inequality in n representing the maximum number of weeks he can continue this plan.
(ii) Solve the inequality to find the greatest integer value of n that satisfies it.
(iii) Calculate the total amount Arjun will have saved in the number of weeks found in part (ii).