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A certain apartment has only 1-room and 2-rooms. If the rang

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A certain apartment has only 1-room and 2-rooms. If the rang

by hazelnut01 » Tue May 02, 2017 6:31 pm
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
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Source: — Data Sufficiency |

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by Jay@ManhattanReview » Wed May 03, 2017 10:19 pm
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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