x percent of y percent of z is decreased by y percent. What is the result?  Choose the most appropriate option.
A) (100xyz - xy^2z) / 1000000 B) (xz - y) / 100 C) (xz - y) / 10,000 D) (xyz - 2y) / 100 E) (xyz - 2y) / 10,000
We're told that X percent of Y percent of Z is DECREASED by Y percent. We're asked for the result of all of this math.   IF....   X = 10   Y = 50   Z = 100   First, 50% of 100 = 50   Next, 10% of 50 = 5   Finally, 5 decreased by 50% of itself is 2.5   So we're looking for an answer that equals 2.5 when X=10, Y=50 and Z=100.   Answer A. (100xyz - xy^2z) / 1,000,000 = (5,000,000 - 2,500,000)/1,000,000 = 2,500,000/1,000,000 = 2.5 This is a MATCH   Answer B. (xz - y) / 100 = (1,000 - 50)/100 = 950/100= 
<gadget id="calculator">950/100</gadget>
<output>19/2 = around 9.5</output>
9.5 NOT a match   Answer C. (xz - y) / 10,000= 950/10,000 = .095 NOT a match   Answer D. (xyz - 2y) / 100 = (50,000 - 100)/100 = 49,900/100 = 499 NOT a match   Answer E. (xyz - 2y) / 10,000 = 49,900/10,000 = 4.99 NOT a match   (100xyz - xy^2z) / 1000000
<result>A</result>
x percent of y percent of z is decreased by y percent. What is the result?