question on vat scale charge

Blessing is VAT registered
In the quarter to 31 March 2016 Blessing’s accounts include the total cost of fuel for her car,which she uses 20% for private purposes , of £1200(VAT inclusive).The relevant VAT scale charge for the car is £468
How much input VAT is reclaimable by Blessing after adjusting for any output tax due for the quarter ended 31 March 2016 in respect of the fuel for her car

answer
quarter ended 31 march 2016
output tax
fuel scale charge(468*1/6)=78
input tax fuel (1200*1/6)=(200) why is there no apportionement for private use??