Dylan's Bicycle Shop offers a new bicycle on sale for $259.92 after a 10% markdown. What was the cost of the bicycle to Dylan if the markup was 30% based on the cost? (Round to the nearest cent.)

c * 1.30 * 0.90 = 259.92

c = $222.15

A= $222.15

To find the cost of the bicycle to Dylan, we need to work backward from the sale price of $259.92.

Step 1: Find the original price before the 10% markdown.
To do this, divide the sale price by 1 minus the markdown percentage (10%).
Original price = Sale price / (1 - markdown percentage)
Original price = $259.92 / (1 - 0.10) = $259.92 / 0.90 = $288.80

Step 2: Find the cost to Dylan before the 30% markup.
To do this, divide the original price by 1 plus the markup percentage (30%).
Cost to Dylan = Original price / (1 + markup percentage)
Cost to Dylan = $288.80 / (1 + 0.30) = $288.80 / 1.30 = $222.15 (rounded to the nearest cent)

Therefore, the cost of the bicycle to Dylan was approximately $222.15.