
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
Given the original prices of a coat, a hat, and a pair of gloves are $120, $30, and $50 respectively, calculate the percent of the total original prices that is the total amount saved when the coat is purchased at a 20% discount, the hat at a 40% discount, and the gloves at a 30% discount.

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