Let's denote the cost of the system as "C".
Given that the store sold the system at a profit of $500, and this profit is 20% of the cost (since it's a 20% increase over what they paid), we can set up an equation:
Profit = Selling Price - Cost
$500 = $C + 0.20C
Solving for C:
$500 = $C * 1.20
C = $500 / 1.20
C ≈ $416.67
So, the approximate cost of the system was $416.67.