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## Tax

Math brain teasers require computations to solve.

 Puzzle ID: #16381 Fun: (2.16) Difficulty: (1.77) Category: Math Submitted By: liltunalol

The local city leaders have just placed a 13% tax on hotel rooms. This is on top of a 2% sales tax for the country and a 10% luxury tax. A room now costs \$100 per night. How much would it cost without the tax?

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 bluetwo Feb 05, 2004 it would be nice if the derivation were included in the solution for those who need to see it. SO, here it is... where X = base cost of the room, X + .1X + .02X + .13x = 100 --> 1.25X = 100 --> X = 100/1.25 = 80 liltunalol Feb 05, 2004 i put almost the exact thing on there, but i guess the editors erased it... Fhqwhgads Feb 06, 2004 i didnt get it Gizzer Feb 09, 2004 Around here, they would apply the tax to the price with the other taxes already included. I got a different answer. jimbo Feb 16, 2004 I agree Gizz. The taxes would be cumulative. The answer is \$78.87 to the nearest cent. Thus: \$78.87x1.02x1.1x1.13=\$100. Interesting to note the order in which the taxes are applied does not affect the final price but it does affect who gets what in the breakup. tonjawithaj Oct 04, 2010 To me the wording is a bit unclear. It seems to be written as 'A new tax is put upon hotel rooms. this is on top of tax a and tax b. what is the cost without tax?' Is referring to the new tax or cumulative tax? Either way, I got the same numbers as above. Just an odd choice of wording!