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) 100xy < x – y
A. Statement (1) ALONE is sufficient, but statement (2) alone is not sufficient.
B. Statement (2) ALONE is sufficient, but statement (1) alone is not sufficient.
C. BOTH statements TOGETHER are sufficient, but NEITHER statement ALONE is sufficient.
D. EACH statement ALONE is sufficient.
E. Statements (1) and (2) TOGETHER are NOT sufficient
i dont agree with the OA..
btw i get B
Lets try this out-annual rent collected
In 1997: Assume its R
In 1998 : ((100+x)/100)R
In 1999 : ((100+x)/100)((100-y)/100)R Simplifying
so we have to prove whether 100(x-y) is greater or less than xyFrom 1
:x > y but we dont know whether if x=11 and y =10 then 100(x-y) < xy
but when x=4 and y=3 then 100(x-y) >xy
So insuffFrom 2:
100xy < x – y re writing the equation
and 100xy < x – y is xy< ((x-y)/100)
as xy< ((x-y)/100) we can say
so its sufficient
i think that the ans is b
Please correct me