Evans Ltd$.$ publishes a monthly newsletter for retail marketing managers and requires its subscribers to pay $$90$ in advance for a one$-$year subscription. During the month of August $2016,$ Evans Ltd$.$ sold $400$ one$-$year subscriptions and received payments in advance from all new subscribers. Only $240$ of the new subscribers paid their fees in time to receive the August newsletter; the other subscriptions began with the September newsletter. Use factors for calculating present value of $$1$