Let's assume the cost price of the cooker is "x" dollars.
According to the problem, the shopkeeper sold the cooker for USD 560 making a profit of 12%.
We know that profit is equal to the difference between the selling price and the cost price. So,
Profit = Selling Price - Cost Price
12% of Cost Price = Selling Price - Cost Price
12% of x = 560 - x
0.12x = 560 - x
1.12x = 560
x = 500
Therefore, the cost price of the cooker is USD 500.