When the third-generation 2014 Mini Cooper Hardtop arrives in showrooms this spring, itâll carry a base price of $20,745. When the third-generation 2014 Mini Cooper Hardtop arrives in showrooms this spring, itâll carry a base price of $20,745, which includes the $795 destination naknada. Opting for the jači motor in the Cooper S will require $24,395. Both prices represent a $300 jump from the outgoing 2013 Cooper Hardtop. When the third-generation 2014 Mini Cooper Hardtop arrives in showrooms this spring, itâll carry a base price of $20,745. When the third-generation 2014 Mini Cooper Hardtop arrives in showrooms this spring, itâll carry a base price of $20,745, which includes the $795 destination fee. Opting for the stronger engine in the Cooper S will require $24,395. Both prices represent a $300 jump from the outgoing 2013 Cooper Hardtop.