Step 1: Pick Some Easy Numbers
Let's just invent some simple values for the property and the tax rate
* Let's say the property is worth $1,000.
* And let's pretend the original tax rate is 10%.
Based on these numbers, the original tax bill would be 10% of $1,000, which is $100.
Step 2: Apply the Changes
Now, let's adjust those numbers based on what the question says.
* New Property Value: The value decreases by 10%. A 10% drop from $1,000 is $100. So, the new value is $900.
* New Tax Rate: The rate represents 110% of the original. This means it increases by 10%. So, the new rate is 110% of our original 10%, which is 11%.
Step 3: Calculate the New Tax Bill
Now we just calculate the tax using our new numbers:
New Tax = 11% of $900
New Tax = 0.11 × 900 = $99
Step 4: Compare the Old and New
So, what's the final effect?
* The original tax was $100.
* The new tax is $99.
The tax bill went down by $1. Since our original tax was a convenient $100, a $1 drop is exactly a 1 percent decrease.
This shows the correct answer is (D) Taxes decrease by 1 percent.
Bunuel
If the value of a piece of property decreases by 10 percent while the new tax rate on the property represents 110% of the original tax rate, 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.