Jada will earn $2400 if she sells her used car at 5% off of what she had originally planned to sell it for. If she sells the car at a discount of 25% of the original price, she will lose $900. What was the price she paid for the used car?

Answer 1

Let the original price Jada planned to sell the car for be x.

Given that she will earn $2400 if she sells the car at 5% off the original price, the selling price would be x - 0.05x = 0.95x.
This means that 0.95x = 2400.
Therefore, x = 2400 / 0.95 = $2526.32.

Given that she will lose $900 if she sells the car at 25% off the original price, the selling price would be x - 0.25x = 0.75x.
This means that 0.75x = 2526.32 - 900 = $1626.32.

Therefore, the price she paid for the used car was $2526.32.