A sports club wants to raise funds by selling season tickets in two ways.
Scheme I: Rs 1 000 for the first ticket sold and the price of each subsequent ticket increases by Rs 40.
Scheme II: Rs 1 200 for the first ticket sold and the price of each subsequent ticket increases by Rs 25.
The club expects to sell exactly 150 tickets.
(a) Calculate the total revenue the club will earn under each scheme.
(b) Under which scheme will the revenue be higher and by how much?
(c) If the club can choose to switch schemes after selling some tickets, what is the smallest number of tickets that must be sold so that the cumulative revenue from Scheme I first exceeds the cumulative revenue from Scheme II?