Guys could you please help with this?
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 in 1999 more than in 1997?
1) x>y
2) xy/100 < x-y
Annual rent
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See here for a discussion of this problem: https://www.beatthegmat.com/easier-approach-t285138.htmlAmrabdelnaby wrote:Guys could you please help with this?
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 in 1999 more than in 1997?
1) x>y
2) xy/100 < x-y
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My approach:
Rent in 1997 = r
Rent in 1998 = r * (1 + (x/100))
Rent in 1999 = r * (1 + (x/100)) * (1 - (y/100))
We want to know if 1999 > 1997, so the question becomes
Is (1 + (x/100))(1 - (y/100)) * r > r?
Dividing by r and foiling, we have
Is 1 + x/100 - y/100 - xy/10,000 > 1?
or
Is x/100 - y/100 - xy/10,000 > 0?
or
Is (x - y)/100 > xy/10,000 ?
or
Is (x - y) > xy/100 ?
S2 says exactly this, so it's sufficient.
Rent in 1997 = r
Rent in 1998 = r * (1 + (x/100))
Rent in 1999 = r * (1 + (x/100)) * (1 - (y/100))
We want to know if 1999 > 1997, so the question becomes
Is (1 + (x/100))(1 - (y/100)) * r > r?
Dividing by r and foiling, we have
Is 1 + x/100 - y/100 - xy/10,000 > 1?
or
Is x/100 - y/100 - xy/10,000 > 0?
or
Is (x - y)/100 > xy/10,000 ?
or
Is (x - y) > xy/100 ?
S2 says exactly this, so it's sufficient.
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Thanks Matt,
Your solution was very helpful.
I already knew the answer to the first statement but I couldn't figure out statement 2. so again thank you
Your solution was very helpful.
I already knew the answer to the first statement but I couldn't figure out statement 2. so again thank you
Matt@VeritasPrep wrote:My approach:
Rent in 1997 = r
Rent in 1998 = r * (1 + (x/100))
Rent in 1999 = r * (1 + (x/100)) * (1 - (y/100))
We want to know if 1999 > 1997, so the question becomes
Is (1 + (x/100))(1 - (y/100)) * r > r?
Dividing by r and foiling, we have
Is 1 + x/100 - y/100 - xy/10,000 > 1?
or
Is x/100 - y/100 - xy/10,000 > 0?
or
Is (x - y)/100 > xy/10,000 ?
or
Is (x - y) > xy/100 ?
S2 says exactly this, so it's sufficient.