# RE2 | google/gemini-3.6-flash | run 1

## Prompt

After a 20% discount, a jacket costs $40. What was the original price? Show your work.

## Response

The original price of the jacket before the 20% discount was $50. A 20% discount reduces the cost to 80% of its original value. Dividing the final price of $40 by 0.80 restores the original price.

## Step-by-Step Calculation

**1. Define the Variables**
Let \( P \) represent the original price of the jacket.

**2. Set Up the Equation**
A discount of 20% means the sale price is 80% (or 0.80) of the original price:
\[ \text{Discounted Price} = P \times (1 - 0.20) \]
\[ 40 = P \times 0.80 \]

**3. Solve for the Original Price**
Isolate \( P \) by dividing both sides of the equation by 0.80:
\[ P = \frac{40}{0.80} \]
\[ P = 50 \]

The original price of the jacket was $50.

Would you like to calculate the final price after adding sales tax or solve another percentage problem?
