Question

You have $32.65 for an item after a 25% markup. What was the original price?

Answer 1

To find the original price of an item before a 25% markup, divide the final price by 1.25. For an item that costs $32.65 after the markup, the original price was $26.12.

Step-by-step explanation:

The student asked: "You have $32.65 for an item after a 25% markup. What was the original price?". To answer this, we'll have to work backwards from the marked-up price to determine the original price before the markup.

Assuming an item has a 25% markup, this means the original price was increased by 25%. If we call the original price 'P', then the marked-up price is P + 0.25P, or 1.25P. The marked-up price given is $32.65, so we set up the equation 1.25P = $32.65.

To find the original price 'P', we divide $32.65 by 1.25:

P = $32.65 / 1.25

P = $26.12

Therefore, the original price of the item before the 25% markup was $26.12.

Answer 2

Step-by-step explanation:

The markup price is always higher than the original, so to find the original you take the markup and do some subtracting. What we are subtracting is 25% of the original price, which is what we don't know. Our equation then is

x = 32.65 - .25x and

1.25x = 32.65 so

x = 26.12

That's the original price. Marking that original price up by 25% and then adding that dollar markup amount to the original amount gives you 32.65