Working off an 18% margin, with markups based on cost, the Food Co-op Club boasts that it has 4,300 members and a 165% increase in sales. The markup is 33% based on cost. What would be its percent markup if selling price were the base? (Round your answer to the nearest hundredth percent.)

45%

To find the percent markup if the selling price were the base, we need to calculate the selling price and the cost price first. Let's break down the problem step by step.

1. Start with the given information:
- Margin: 18%
- Markup based on cost: 33%
- Number of members: 4,300
- Increase in sales: 165%

2. Find the selling price:

First, we need to calculate the cost price. The markup based on cost is 33%, so the selling price is 100% + 33% = 133% of the cost price.
Since the Food Co-op Club experienced a 165% increase in sales, the selling price is 100% + 165% = 265% of the original selling price.

We can set up the equation:
Selling Price = 265% = 2.65 * Cost Price

To find the cost price, we divide the selling price by 2.65:
Cost Price = Selling Price / 2.65

3. Find the original selling price:

The increase in sales is attributed to the addition of 4,300 new members. Therefore, we can assume the original sales were generated by the original members before the increase.

Let's divide the total sales by the increase percentage to find the original sales:
Original Sales = Total Sales / (1 + Increase percentage)

Original Sales = Total Sales / (1 + 165%)

4. Calculate the original cost price:

To find the original cost price, we need to use the margin of 18%.
Let's set up the equation:
Cost Price = Original Sales * Margin

5. Calculate the original markup based on the selling price:

Finally, we can calculate the original markup based on selling price by using the formula:
Percent Markup = (Selling Price - Cost Price) / Cost Price * 100

By following these steps, you can find the percent markup if the selling price were the base.

To find the markup if the selling price were the base, we can use the following formula:

Markup Percentage = (Markup / Cost) × 100

We are given that the markup is 33% based on cost. Let's first calculate the cost:

Cost = Selling Price - Markup

To find the selling price, we can use the following formula:

Selling Price = Cost + Markup

The percent increase in sales is given as 165%. To find the new sales amount, we can use the following formula:

New Sales = Old Sales + (Increase %/100) × Old Sales

Let's calculate the new sales amount:

New Sales = 4,300 + (165/100) × 4,300

New Sales = 4,300 + (1.65) × 4,300

New Sales = 4,300 + 7,095

New Sales = 11,395

Now, let's calculate the cost:

11,395 = Cost + (33/100) × Cost

11,395 = Cost + 0.33Cost

11,395 = 1.33Cost

Cost = 11,395 / 1.33

Cost ≈ 8,567.67

Now, let's calculate the selling price:

Selling Price = Cost + Markup

Selling Price = 8,567.67 + (33/100) × 8,567.67

Selling Price = 8,567.67 + 2,825.94

Selling Price ≈ 11,393.61

Finally, let's calculate the percent markup if the selling price were the base:

Markup Percentage = (Markup / Cost) × 100

Markup Percentage = (2,825.94 / 11,393.61) × 100

Markup Percentage ≈ 24.81%

Therefore, if the selling price were the base, the Food Co-op Club's percent markup would be approximately 24.81%.