(1) x > y
(2)
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)
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
97 98 99
a b c
b=(1+x%)a
c=(1-y%)b ==>
c=(1+x%)(1-y%)a ==> c=(1+x%-y%-x%y%)a
Thus, we neet to know if (1+x%-y%-x%y%)>1?
1+x/100-y/100-(xy)/(100*100) >1 ==> x-y-(xy/100)>0 ==> xy/100<x-y
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