Question 149933
Taylor, recall that cost + profit = sales price. Let the original cost be x dollars, then the profit is 35% of x. (35% = 0.35)
The sale price of the bike is (x + 0.35x) dollars, and this, you are told, = $67.50.
So now you can set up the equation to solve for x.
x + 0.35x = $67.50 Add the terms on the left side.
1.35x = $67.50 Now divide both sides by 1.35
x = $50.00 This is the original cost of the bike.

Check:
$50.00 + 0.35($50.00) = $50.00 + $17.50 = $67.50