Home Hardware paid $105 for a particular type of drill. Expenses are 18% of cost and the profit is 13% of cost. Round the answers to the nearest cent if necessary.

1) What is the regular selling price?

$


2) To help clear inventory, the drill was sold at break-even during a sale. What is the break-even selling price?


To solve this problem, we need to determine two things: the regular selling price and the break-even selling price. 

### 1) Regular Selling Price

The regular selling price includes the cost of the drill, expenses, and profit. Let's break it down step by step.

**Given:**
- Cost of the drill = $105
- Expenses = 18% of the cost
- Profit = 13% of the cost

First, we calculate the expenses:

\[ \text{Expenses} = 0.18 \times 105 = 18.90 \]

Next, we calculate the profit:

\[ \text{Profit} = 0.13 \times 105 = 13.65 \]

Now, we sum up the cost, expenses, and profit to find the regular selling price:

\[ \text{Regular Selling Price} = \text{Cost} + \text{Expenses} + \text{Profit} \]

\[ \text{Regular Selling Price} = 105 + 18.90 + 13.65 \]

\[ \text{Regular Selling Price} = 137.55 \]

So, the regular selling price is $137.55.

### 2) Break-even Selling Price

To break even, the selling price must cover the cost and the expenses, but no profit. Therefore, the break-even selling price is the sum of the cost and the expenses.

\[ \text{Break-even Selling Price} = \text{Cost} + \text{Expenses} \]

Using the previously calculated expenses:

\[ \text{Break-even Selling Price} = 105 + 18.90 \]

\[ \text{Break-even Selling Price} = 123.90 \]

So, the break-even selling price is $123.90.

### Summary:

1) The regular selling price is $ \boxed{137.55} $ dollars.

2) The break-even selling price is $ \boxed{123.90} $ dollars.

Would you like more details or have any questions?

Here are some related questions you might find interesting:
1. What would the regular selling price be if the expenses were 20% and the profit was 15% of the cost?
2. How does a change in expenses percentage affect the regular selling price?
3. If the cost of the drill increased to $120, what would be the new regular selling price with the same expense and profit percentages?
4. What would the break-even selling price be if the expenses were reduced to 15% of the cost?
5. How do you calculate the profit margin based on the selling price?
6. What is the formula for calculating the selling price when given the cost, expenses, and desired profit margin?
7. If the drill was sold at a discount of 10% off the regular selling price, what would be the sale price?
8. How can we calculate the percentage markup on cost given the cost and selling price?

**Tip:** Always verify if the given percentages (expenses and profit) are based on cost or selling price as this can significantly change the calculations.

Learn how to calculate the regular selling price and break-even selling price of a product based on its cost, expenses as a percentage of cost, and desired profit margin. Detailed step-by-step solution provided with rounding to the nearest cent. Suitable for high school students learning cost analysis and profit calculation.

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