Verified Answer :

My way is 14.50/100 to give you one percent. So one percent is .145 mutiply that by 7 to give you 1.02 so 14.50+1.02=15.52. So 15.52 is the answer.

7%=\(\frac {7}{100}\) = 0.07
14.5 × 0.07 = 1.015
Add this number to the original:
14.5+1.015 = £15.515

There is another way, whenever they give us an increased Percentage, they provide us with a hint!
 we add that increased percent to 100
100+7=107%
107%=\(\frac{107}{100}\) = 1.07
14.5×1.07= £15.515, it can also be rounded to 15.52
£15.515≈£15.52