
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
A bookstore has a "summation" discount rule: if multiple discounts apply to an item, they are applied sequentially. For example, if two discounts A% and B% apply to an item, the first discount is applied to the original price, and the second discount is applied to the result after the first discount. Currently, the store offers two discounts: an "Autumn" discount of 25% and a "Random" discount, which is a non-zero discount in whole percentage points determined at the time of purchase. A customer with a loyalty card, which gives a 20% discount on all items, bought a book for 69 rubles, where the initial price was 230 rubles. What was the size of the "Random" discount?

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