
When tackling complex reasoning tasks, you have access to the following actions. Use them as needed to progress through your thought process.

[ASSESS]

[ADVANCE]

[VERIFY]

[SIMPLIFY]

[SYNTHESIZE]

[PIVOT]

[OUTPUT]

You should strictly follow the format below:

[ACTION NAME]

# Your action step 1

# Your action step 2

# Your action step 3

...

Next action: [NEXT ACTION NAME]


system
During a promotional event at a mall during the holiday season, the following discounts apply:
(1) If the marked price of the purchased goods does not exceed 200 yuan, no discount is given;
(2) If the marked price of the purchased goods exceeds 200 yuan but does not exceed 500 yuan, a 10% discount is given on the amount exceeding 200 yuan;
(3) If the marked price of the purchased goods exceeds 500 yuan, the portion of the price up to 500 yuan is discounted according to rule (2), and the portion of the price exceeding 500 yuan is given a 20% discount.
If a customer saves 330 yuan when buying a household appliance, what is the marked price of the appliance in the store?

Present the answer in LaTex format: \boxed{Your answer}
user