The value of land increases by m% during June and decreases by n% during July. If the value of the land is the same at the end of July as at the beginning of June, what is n in terms of m?	Select:
A) 200m/(100+2m)
B) 100m/(100+m)
C) m(2+m)/(1+m)2
D) m(200+m)/10000
E) 2m/m+2m
The simplest pairing is a 25% increase will be offset by a 20% decrease.   Here's the proof:   Starting value = 100   25% increase = 100 + (.25)(100) = 125   20% decrease = 125 - (.2)(125) = 100   Ending value = 100   So we would be looking for an answer that equals 20 when A=25. While the answers might appear 'complex', you can actually avoid much of the 'math' if you just fill in the parts and take a good look at what you have...   Answer A: (200)(25)/(150) ... since 200&gt;150, this answer will be greater than 25. ELIMINATE A.   Answer B: (100)(25)/125) = (100)(1/5) = 20 This is a MATCH.   Answer C: (25)(27)/(26)2 ... nothing 'cancels out', so this cannot = 20. ELIMINATE C.   Answer D: (25)(225)/10000... the 'units' digit of the numerator is a 5; when dividing by 10,000, this won't end in a 0. ELIMINATE D.   Answer E:  (50/25) + 50= 
<gadget id="calculator"> (50/25) + 50</gadget>
<output>52</output>
52. ELIMINATE E.   100m/(100+m)
<result>B</result>
The value of land increases by m% during June and decreases by n% during July. If the value of the land is the same at the end of July as at the beginning of June, what is n in terms of m?