Sai Travels owns a bus and operates a tourist service on daily basis. The bus starts from New city to Rest village and returns back to New city the same day. Distance between New city and Rest village is $250$ km$.$ This trip operates for $10$ days in a month. The bus also plies for another $10$ days between New city and Shivapur and returns back to New city the same day; distance between these two places is $200$ km$.$ The bus makes local sightseeing trips for $5$ days in a month covering a total distance of $60$ km$.$ The following data are given:While plying to and from Rest village, the bus occupies $90$ per cent of the capacity and $80$ per cent when it plies between New city to Shivapur $($both ways$).$ In the city, the bus runs full capacity. Passenger tax is $20$ per cent of net takings of the travels fi rm$.$ Calculate the rate to be charged to Rest village and Shivapur from New city, per passenger, if the profi t required to be earned is $33$ per cent of net takings of the fi rm$.$