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The most that an employer can pay an employee in terms of a tax free business mileage allowance is 45p per mile for the first 10,000 miles and 25p per mile thereafter. As you receive less than that, then you are entitled to claim tax relief on the difference between 45p and 12p per business mile. You don't have to take the cash from your employer though I don't know anybody who would turn down tax free cash but you cannot claim capital allowances for your car.
I ope this helps but let me know if you have any further questions.