
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 its items. A few days later, the store applies an additional 10% discount to the already discounted prices and advertises that the items are now 40% off the original price. Calculate the true discount as a percentage of the original price and find the difference between the true discount and the store's claimed discount.

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