Answer :

Final answer:

The original price of the car was $6,400 before a 35% discount reduced it to $4,160. This was determined using the formula for a percentage decrease.

Explanation:

To determine the original price of the car before the discount, let's use the formula for a percentage decrease:

Sale Price = Original Price - (Original Price * Discount Percentage)

We know the sale price is $4,160, and the discount is 35%. Let Original Price be denoted as P.

Thus, the equation becomes:

4160 = P - (P * 0.35)

Solving this equation for P:

  1. 4160 = P(1 - 0.35)
  2. 4160 = P * 0.65
  3. P = 4160 / 0.65

P = 6400

Therefore, the original price of the car was $6,400.

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