Math brain teasers require computations to solve.
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?
$80. The $100 includes the $80 plus the 25% tax.
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|
Feb 05, 2004
|i put almost the exact thing on there, but i guess the editors erased it... |
Feb 06, 2004
|i didnt get it |
Feb 09, 2004
|Around here, they would apply the tax to the price with the other taxes already included. I got a different answer.|
Feb 16, 2004
|I agree Gizz. The taxes would be cumulative. The answer is $78.87 to the nearest cent. Thus:|
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.
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! |
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