The annual rent collected by a corporation from a certain building was x percent more in 1998 than in 1997 and y percent less in 1999 than in 1998. Was the annual rent collected by the corporation from the building more in 1999 than in 1997?
(1) x > y
(2) xy/100 < x - y
Let the 1997 rent = 100.
Increase in 1998 = (x/100)*100 = x.
Thus, rent in 1998 = 100+x.
Decrease in 1999 = y/100*(100+x) = y + xy/100/
The question stem asks whether the increase is greater than the decrease.
Question stem, rephrased:
Is x > y + xy/100?
Statement 1: x > y
Case 1: x=20 and y=10
Here, y + xy/100 = 10 + (20*10)/100 = 12.
Is 20 > 12?
YES.
Case 2: x=90 and y=80
Here, y + xy/100 = 80 + (90*80)/100 = 152.
Is 90 > 152?
NO.
Since the answer is YES in Case 1 but NO in Case 2, INSUFFICIENT.
Statement 2: x-y > xy/100
Thus, x > y + xy/100.
SUFFICIENT.
The correct answer is
B.
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