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If the value of a piece of property decreases by 10 percent [#permalink]
08 Aug 2007, 06:22
00:00
A
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Difficulty:
25% (medium)
Question Stats:
72% (02:06) correct
28% (01:10) wrong based on 82 sessions
If the value of a piece of property decreases by 10 percent while the tax rate on the property increases by 10 percent, what is the effect on the taxes?
A. Taxes increase by 10 percent B. Taxes increase by 1 percent C. There is no change in taxes D. Taxes decrease by 1 percent E. Taxes decrease by 10 percent
it's hard to explain, but the 10% increase isn't referring to an additional 10% of tax on the houses but an increase of 10% of the 10%.
.1 x 1.1 = .11 10% x 1.1 = 11%
then I just plugged in numbers
100,000 x .1 = 10,000 90,000 x .11 = 9,900
decrease of 1%
Still don't understand the wording too well; can someone elaborate on this? Thanks!
Lets say value of the property is $V and tax on that $V is T% . Hence the tax amount on the $V is = $VT now value is decreased by 10 % ( 0.9V) and tax increased by 10% ( 1.1 T) , the new tax amount is 0.9V*1.1T = 0.99VT
Hence new tax amount decreases by 0.01VT ( i.e 1% the original) _________________
Re: If the value of a piece of property decreases by 10 percent [#permalink]
12 May 2013, 21:13
Expert's post
johngrg wrote:
If the value of a piece of property decreases by 10 percent while the tax rate on the property increases by 10 percent, what is the effect on the taxes?
A. Taxes increase by 10 percent B. Taxes increase by 1 percent C. There is no change in taxes D. Taxes decrease by 1 percent E. Taxes decrease by 10 percent
Initial value =100 ,tax rate = 100%. Thus, the tax to be paid = 100. After the required change, the new value = 90 and the new tax rate = 110%. The new tax amount to be paid = 99. Change in tax paid = 1% decrease. D. _________________
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