ziyuenlau wrote:A certain apartment has only 1-room and 2-rooms. If the range of the total rental fees for 1-room and 2-rooms combined is $1,000 and the range of the rental fees for 2-rooms is $200, what is the range of the rental fees for 1-room?
1) The smallest rental fee for 2-rooms is $2,800.
2) The smallest rental fee for 2-room is $200 more expensive than the greatest rental fee for 1-room.
Source : Math Revolution
OA=B
Say the smallest and greatest rental fee for 1-room are x and y, respectively.
And the smallest and greatest rental fee for 2-rooms are p and q, respectively.
We have:
q - x = 1000 ---(1)
q - p = 200 ---(2)
Question: y - x =?
Statement 1: The smallest rental fee for 2-rooms is $2,800.
=> p = 2800.
With this information, though we get the value of q and then x, we cannot get the value of y. Insufficient.
Statement 2: The smallest rental fee for 2-room is $200 more expensive than the greatest rental fee for 1-room.
=> p = 200 + y ---(3)
From equations (1) and (2), we get p = 800 + x ---(4)
From equations (3) and (4), we get y - x =
600. Sufficient.
The correct answer:
B
Hope this helps!
Relevant book:
Manhattan Review GMAT Data Sufficiency Guide
-Jay
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