
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 an initial discount of 25% on all items. A week later, the store applies an additional 15% discount to the already discounted items and advertises that the cumulative discount equals 40%. What is the actual total discount as a percentage of the original price, and how much does this differ from the store’s claim?

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