Sure, let's go through the solution step by step.
### Part (a): Calculate the cost price per racing car.
Toby buys a pack of 12 racing cars for [tex]$49.99. To find the cost price per racing car, we need to divide the total cost by the number of cars.
\[
\text{Cost price per racing car} = \frac{\text{Total cost}}{\text{Number of cars}} = \frac{49.99}{12} \approx 4.17
\]
So, the cost price per racing car is approximately \$[/tex]4.17.
### Part (b): Calculate the profit Toby makes per racing car.
To find the profit Toby makes per racing car, we subtract the cost price per car from the selling price per car. Given that the selling price per car is [tex]$210, the profit calculation is:
\[
\text{Profit per car} = \text{Selling price per car} - \text{Cost price per car} = 210 - 4.17 \approx 205.83
\]
So, the profit Toby makes per racing car is approximately \$[/tex]205.83.
### Part (c): Determine Toby's profit margin on one racing car.
The profit margin is a measure of how much profit is made relative to the cost price, expressed as a percentage. It can be calculated using the formula:
[tex]\[
\text{Profit margin} = \left(\frac{\text{Profit per car}}{\text{Cost price per car}}\right) \times 100
\][/tex]
Substituting the values we have:
[tex]\[
\text{Profit margin} = \left(\frac{205.83}{4.17}\right) \times 100 \approx 4941.01\%
\][/tex]
So, Toby's profit margin on one racing car is approximately 4941.01%.
In summary:
1. The cost price per racing car is approximately \[tex]$4.17.
2. The profit Toby makes per racing car is approximately \$[/tex]205.83.
3. Toby's profit margin on one racing car is approximately 4941.01%.
