Final answer:
Arrow Manufacturing offers discount of 32%, 13.5%, 5% on a line of products, an item be listed if it is to be sold for C) $359.18
Step-by-step explanation:
To calculate the listed price of an item that is to be sold for $341.22, we need to determine the original price before the discount is applied. We can do this by working backwards from the final selling price using the discount percentages provided.
Let's start with the highest discount of 32%. To find the original price, we divide the selling price by 1 minus the discount (1 - 0.32 = 0.68), and then multiply by 100 to convert the decimal to a percentage.
So, the original price before the 32% discount is:
Original price = $341.22 / 0.68 = $501.50
Next, let's check the 13.5% discount. Using the same method as above, we calculate the original price before the 13.5% discount as:
Original price = $341.22 / 0.865 = $394.65
Finally, let's calculate the original price before the 5% discount:
Original price = $341.22 / 0.95 = $359.18
Therefore, the correct answer is option C) $359.18, as this is the original price before applying any discounts.