Final answer:
The markup percentage on cost for the swimsuit that retails for $75.00 with a 54% markup based on retail is also 54%. None of the provided choices are correct.
Step-by-step explanation:
The question asks to calculate the markup percentage based on cost when a woman's swimsuit retails for $75.00 and has a retail-based markup of 54%. To find this, we first determine the cost price before markup. The formula to calculate cost when the markup is based on retail is cost = retail price / (1 + markup percentage).
In this case, the swimsuit costs $75.00, and the markup on retail is 54%, which is 0.54 when converted to a decimal. The cost would therefore be $75.00 / (1 + 0.54), leading to a cost of approximately $48.70. Now, the markup in dollars is $75.00 - $48.70 = $26.30.
To find the markup percentage on cost, we use the formula: (markup in dollars / cost) * 100%. That gives us ($26.30 / $48.70) * 100% = approximately 54.00%, which matches the original markup percentage based on retail. Hence, the markup percentage on cost is also 54.00%, meaning none of the provided choices (212.7%, 100.0%, 117.4%, None of the above) are correct.