Final answer:
The cost of the birdcage can be calculated by dividing the sale price of $45.51 by 1.46, which gives $31.17 as the cost to the nearest cent. None of the provided options match this result, indicating a possible error in the question or options.
Step-by-step explanation:
You're asking how to find the cost of a birdcage if the markup is 46% of the sale price and the birdcage sells for $45.51. To find the cost, we need to work with the concept that the sale price is composed of the cost plus the markup. Since the markup is 46%, we can express the sale price (S) as:
S = Cost + (0.46 × Cost)
Combining terms gives us:
S = Cost × (1 + 0.46)
S = Cost × 1.46
To find the original cost, we divide the sale price by 1.46:
Cost = S / 1.46
Cost = $45.51 / 1.46
Cost = $31.17 (to the nearest cent)
Therefore, the cost to the nearest cent is $31.17, which is not one of the options provided. It seems there might be an error in the options or in the question as it was presented.