
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
Masks play a very important protective role in preventing influenza, mainly by protecting the respiratory tract, preventing the spread of respiratory droplets, reducing the invasion of viruses or bacteria, preventing infection, and also preventing the invasion of harmful substances, greatly reducing the probability of cross-infection. A certain pharmacy has purchased a batch of masks for sale, with an average daily sales of 500 masks, each earning $0.6. In order to benefit the public, the pharmacy decides to take appropriate price reduction measures. Based on past experience, if the selling price of each mask is reduced by $0.1, then an average of 100 more masks can be sold per day. If the pharmacy wants to achieve a daily profit of $240 through the sale of these masks, how much should the selling price of each mask be reduced by?

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