A comforter sells for $40 dollars and is marked up 40% of the selling price. What is the cost of the comforter?

40=C(1.40) solve for C

To find the cost of the comforter, we need to figure out the original price before the markup. We can use the formula:

Original Price = Selling Price / (1 + Markup Percentage)

In this case, the selling price is given as $40 and the markup percentage is 40%. First, we need to convert the markup percentage into decimal form (i.e., divide it by 100):

Markup Percentage = 40% = 40 / 100 = 0.40

Now, we can substitute these values into the formula:

Original Price = $40 / (1 + 0.40)

Simplifying the expression inside the parentheses:

Original Price = $40 / 1.40

Now, we can calculate the original price by dividing $40 by 1.40:

Original Price ≈ $28.57 (rounded to two decimal places)

Therefore, the cost of the comforter is approximately $28.57.