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OK, I've jut run some figures through my calculation spreadsheet based on what you've told us. I can only assume your mileage per year, say 35,000. The cost of running the rented car will be around £18,000 per year, that is including rental, licences, insurance cleaning badge etc. and fuel, assuming around 30mpg. That is £346 a week before you earn a penny for yourself. At an average of 18mph, you will drive for 37 hours a week, and I mean DRIVE, not sitting round waiting for a fare. If you're in town and the average speed is down to 12mph, you will have to DRIVE for 56 hours a week just to pay the same rental costs.
If your car does 50mpg, that will reduce the annual fuel bill by about £2500, or £48 a week.
So, if you want to earn minimum wage, at 37 hours a week, you'll have to earn an additional £260 a week to do that at the 18mph speed, total to take is £606 a week. At the average 12mph speed, you'll have to earn an additional £392 a week, total £738 a week. I haven't included the "waiting around for the next fare" time a "working" either!
Luckily I operate in a fairly rural location where the average speed is 23mph, so have to drive less hours to earn the same as a city driver averaging 12mph! You have to weigh up whether it's worth spending £346 a week to earn £260 a week?
To answer the original question, on the basic overheads of renting from the base to leasing a new car, the cost would be around £80 a week less to lease a car, saving nearly £5k a year, and for that you'd have a shiny new reliable(?) car. Or 12 hours a week less you have to work to pay the boss to use his car.
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