Final answer:
The original price of the desk before a 67% discount was calculated using the formula original price = discounted price / (1 - discount rate), which results in an original price of $880.
Step-by-step explanation:
The original price of the desk before the discount can be found by using the following formula: original price = discounted price / (1 - discount rate). In this case, the desk is sold for $290.40 after a 67% discount. Let's define 'P' as the original price. We can then create the following equation:
P = $290.40 / (1 - 0.67)
To solve this equation, first calculate 1 - 0.67, which equals 0.33. Then, you divide $290.40 by 0.33 to get the original price:
P = $290.40 / 0.33
P = $880
Therefore, the original price of the desk was $880.