Final answer:
The normal price of the car before the discount was £7200. This was calculated by dividing the cash price paid by Emma, £6120, by 0.85, representing the remaining percentage after the 15% discount.
Step-by-step explanation:
To calculate the normal price of the car before the discount, we need to work backwards from the final cash price Emma paid, which was £6120 after a 15% discount. First, we represent the normal price as 100% and designate it as the variable 'P'. The cash price paid, £6120, therefore represents 85% of the normal price (100% - 15% discount).
So, the equation we set up is: 0.85P = £6120.
To find the normal price 'P', we divide both sides of the equation by 0.85:
P = £6120 / 0.85
P = £7200
The normal price of the car is £7200.