
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 offers a sale with a discount of $25\%$ on all items. Subsequently, the store applies an additional $10\%$ discount on the already reduced prices and then claims that the final price of these items is $35\%$ 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