A shop is having a five-day sale. Each day, starting on Monday, the price will drop by 10% of the previous days price. For example, if the original price of a product is $20, then the sale price on Monday would be $18 (thats 10% less than the original price), and on Tuesday it would be $16.2 (thats 10% less than Mondays price), and so on. Develop a solution that will calculate the price of an item for each of the five days, given the original price. Test the solution for an item costing $10.

Include a PAC and Algorithm.

You will need a for loop that iterates five times. In each iteration, the item price will be updated based on the sale amount.