
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 a series of two discounts on a product. The first discount is 40% off the original price. Subsequently, a second discount of 30% off the new reduced price is applied. The store claims that the total discount offered is 70% off the original price. Calculate the actual total discount as a percentage of the original price and determine the difference between the store's claimed discount and the actual discount.

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