At the Trenchard Oaks apartment complex, a two-bedroom apartment costs

Question

At the Trenchard Oaks apartment complex, a two-bedroom apartment costs 50% more to rent than a one-bedroom apartment. If Alex were to rent a two-bedroom apartment for x months it would cost him the same amount as it would to rent a one-bedroom for 12 months. What is x ?

A. 6
B. 8
C. 9
D. 10
E. 18

A. 6
B. 8
C. 9
D. 10
E. 18

sumit411 · Answer

IMHO, 
answer is B

1.5a* x= a*12
 x= 8 months

Thank you = Kudos

ArjunJag1328 · Answer

Let the rent for 1 bed room apartment = $100
So the rent for 2 bedroom apartment will be $100 x 50/100 = 150

1 bed room apartment for 12 months = 100x12 = $1200
2 bed room apartment for x months = 1200/150 = 8 months

Hence the answer is B

EMPOWERgmatRichC · Answer

Hi All,

We're told that a two-bedroom apartment costs 50% more to rent than a one-bedroom apartment. If Alex were to rent a two-bedroom apartment for X months it would cost him the same amount as it would to rent a one-bedroom for 12 months. We're asked for the value of X. This question can be solved in a couple of different ways. TESTing VALUES works really well (as ArjunJag1328 has shown); it can also be solved by TESTing THE ANSWERS.

Since a two-bedroom apartment costs 50% more than a one-bedroom apartment, we need to find a value for X that, when increased by 50%, equals 12. Since a 50% increase is NOT the same as DOUBLING a value, we can eliminate Answer A. Let's TEST Answer B first.

Answer B: 8 months 
IF... X = 8, then 50% MORE than 8 would be (1.5)(8) = 12 
This is an exact match for what we were told, so this must be the answer.

Final Answer:  B

GMAT assassins aren't born, they're made, 
Rich

fskilnik · Answer

? = x

Trivial application of  UNITS CONTROL , one of the most powerful tools of our course:

\left. \matrix{
 {m{one - bed}}\,\,\,:\,\,\,\,{{\$ \,\,2d} \over {1\,\,{m{month}}\,}}\,\,\,\,\,\,\,\, 	o \,\,\,\,\,\,12\,\,{m{months}}\,\,\,\left( {{{\$ \,\,2d} \over {1\,\,{m{month}}\,}}} ight)\,\,\, = \,\,\,\$ \,\,24d\,\,\,\,\, \hfill \cr 
 {m{two - bed}}\,\,:\,\,\,{{\$ \,\,3d} \over {\,1\,\,{m{month}}\,}}\,\,\,\,\,\,\,\, 	o \,\,\,\,\,\,x\,\,{m{months}}\,\,\,\left( {{{\$ \,\,3d} \over {1\,\,{m{month}}\,}}} ight)\,\,\, = \,\,\,\$ \,\,3xd \hfill \cr} ight\}\,\,\,\,\,\,\,\mathop \Rightarrow \limits^{{m{stem}}} \,\,\,\,\,\,\,24d = 3xd\,\,\,\,\,\,\mathop \Rightarrow \limits^{d\,\, 
e \,\,0} \,\,\,\,\,\,\,? = x = 8

This solution follows the notations and rationale taught in the GMATH method.

Regards, 
Fabio.

ScottTargetTestPrep · Answer

We can let the cost to rent a one-bedroom apartment per month = n. Therefore, the cost for a two-bedroom apartment per month = 1.5n; thus:

1.5nx = 12n

1.5x = 12

x = 8

Answer: B

At the Trenchard Oaks apartment complex, a two-bedroom apartment costs

Prep Toolkit

Top 5 GMAT Debrief Videos

615 to 715 in 15 Days (Ria's Strategies)

More than Quant/Verbal Abilities: Speed vs. Accuracy

745 with Only Self-Prep and GMAT Club

From 555 to 765: 210-point Improvement

Perfect 805 Score Debrief by Julia

My Rewards

GMAT Problem Solving (PS) Questions

At the Trenchard Oaks apartment complex, a two-bedroom apartment costs

Prep Toolkit

615 to 715 in 15 Days (Ria's Strategies)

More than Quant/Verbal Abilities: Speed vs. Accuracy

745 with Only Self-Prep and GMAT Club

From 555 to 765: 210-point Improvement

Perfect 805 Score Debrief by Julia

My Rewards