Question

At the end of the year, cars made in the current year are marked down to make room for next year's models. one particular model has a sale price of $36,557.60, which is 25.9% less than it sold for when it was new. what was the original price of the vehicle? round your answer to the nearest cent.

Answer 1

To find the original price of a vehicle discounted by 25.9%, divide the sale price by 74.1%. Applying this to the sale price of $36,557.60 leads to an original price of approximately $49,334.69.

Step-by-step explanation:

The question involves calculating the original price of a vehicle based on the discount provided at the end of the year. Given that the sale price of the car is $36,557.60 and this is 25.9% less than the original price, we can represent the sale price as 74.1% of the original price (since 100% - 25.9% = 74.1%). To find the original price, we need to divide the sale price by 74.1% (or 0.741 in decimal form).

To calculate the original price, the equation is set up as follows:

Original Price = Sale Price / 0.741

Substituting the values we have:

Original Price = $36,557.60 / 0.741

By performing the division:

Original Price = $49,334.69

This would be the original price of the car before the markdown. Therefore, the car was originally priced at approximately $49,334.69 before being marked down by 25.9% to make room for next year's models.

Rounding this value to the nearest cent would not change it since it is already expressing two decimal places.