
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
In the Sweet Tooth store, they are thinking about what promotion to announce before March 8. Manager Vasya suggests reducing the price of a box of candies by $20\%$ and hopes to sell twice as many goods as usual because of this. Meanwhile, Deputy Director Kolya says it would be more profitable to raise the price of the same box of candies by one third and announce a promotion: "the third box of candies as a gift," in which case sales will remain the same (excluding the gifts). In whose version of the promotion will the revenue be higher? In your answer, specify how much greater the revenue will be if the usual revenue from selling boxes of candies is 10,000 units.

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