
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 store advertises an item by applying three successive discounts: the first is 25%, the second is 15%, and the third is 10%. After applying all these discounts, the store incorrectly claims that the final price of the item is 45% off the original price. As a percentage of the original price, what is the difference between the true discount and the store's claimed discount?

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