A social club reserves a private lounge for a holiday party. They receive a promotional discount on the standard food and beverage package price. A local hospitality tax of is applied to the discounted price, but the contract requires a mandatory gratuity calculated on the standard, pre-discount package price.
If the final bill paid by the club—consisting of the discounted package, the tax, and the gratuity—amounts to , what was the standard package price before any discounts or fees?
Cevap:The standard package price was $\【400】.
Cevap
The standard package price was $400.
The total bill is the sum of the discounted price, the tax on the discounted price, and the tip on the original price. By setting the original price as , we can express the total cost algebraically: (discounted price) (tax) (gratuity) . Setting and solving for yields exactly .
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Anahtar Kavram
Solving for an original price when tax and tip are calculated using different base amounts (discounted vs. pre-discount).