# RE2 | google/gemini-3.6-flash | run 2

## Prompt

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

## Response

The original price of the jacket was $50. Since a 20% discount reduces the cost to 80% of the original value, dividing the discounted price of $40 by 0.80 yields the original amount.

## Calculation Breakdown

Let \( P \) represent the original price of the jacket.

1. **Identify the percentage paid:**
   A 20% discount means the sale price is \( 100\% - 20\% = 80\% \) of the original price.

2. **Set up the equation:**
   \[ 0.80 \times P = 40 \]

3. **Solve for \( P \):**
   \[ P = \frac{40}{0.80} \]
   \[ P = 50 \]

The original price of the jacket before the discount was $50.

Would you like help calculating the final total with sales tax or applying additional discounts?
