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
P = Po - 0.1Po = 259.92
0.9Po = 259.92
Po = 288.80 Before 10% markdown.
P = Po + 0.3Po = 288.80
1.3Po = 288.80
Po = $222.15 = Cost to Dylan.
To find out the cost of the bicycle to Dylan before the 30% markup, we can use the given sale price and the 10% markdown.
Step 1: Calculate the original price before the markdown.
We know that the sale price is $259.92 after a 10% markdown. Let's represent the original price as "x."
The markdown amount is 10% of x, which is 0.10x. Subtracting the markdown from x will give us the sale price:
x - 0.10x = $259.92
Combining like terms:
0.90x = $259.92
Step 2: Solve the equation for x.
To isolate x, divide both sides by 0.90:
x = $259.92 / 0.90
x = $288.80
So, the original cost of the bicycle to Dylan before the 30% markup was $288.80.