To find the final sale price of the birdcage, we will follow these steps:

Step 1: Find the original selling price based on the wholesale cost and the markup percentage.

The formula for markup based on the selling price is:

$\text{Markup based on selling price} = \frac{\text{Selling price} - \text{Wholesale cost}}{\text{Selling price}}$

Given that the markup is 46%, this means:

$\frac{\text{Selling price} - 55}{\text{Selling price}} = 0.46$

Let $x$ represent the selling price. Rearranging the equation:

$x - 55 = 0.46x$ $x - 0.46x = 55$ $0.54x = 55$ $x = \frac{55}{0.54} \approx 101.85$

So, the original selling price is $101.85.

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Step 2: Apply the 14% markdown to the original selling price.

The formula for markdown is:

$\text{New price} = \text{Original price} \times (1 - \text{Markdown percentage})$

Here, the markdown is 14%, so:

$\text{New price} = 101.85 \times (1 - 0.14) = 101.85 \times 0.86 \approx 87.59$

After the markdown, the new price is $87.59.

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Step 3: Apply the 13% markup to the new price.

The formula for markup is:

$\text{New price} = \text{Current price} \times (1 + \text{Markup percentage})$

Here, the markup is 13%, so:

$\text{New price} = 87.59 \times (1 + 0.13) = 87.59 \times 1.13 \approx 98.98$

After the markup, the final sale price is $98.98.

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Final Answer: The final sale price of the birdcage is $98.98.

Would you like further details on any of these steps?

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Related Questions:

1. What would the selling price be if the initial markup was 50%?
2. How would the final price change if the markdown was 10% instead of 14%?
3. What would be the final price if there was an additional 5% discount after the last markup?
4. How is the final price affected if both the markdown and markup were 20%?
5. What would happen if the markup was based on the wholesale price instead of the selling price?

Tip: When dealing with percentages, always clarify whether it's based on the selling price or cost price to avoid confusion.