The charge for a single room at Hotel P is 25 percent less than the charge for a single room at Hotel R and 10

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The charge for a single room at Hotel P is 25 percent less than the charge for a single room at Hotel R and 10 percent less than the charge for a single room at Hotel G. The charge for a single room at Hotel R is what percent greater than the charge for a single room at Hotel G?

A. 15%
B. 20%
C. 40%
D. 50%
E.150%

The OA is B
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BTGmoderatorLU wrote:
Sat Mar 14, 2020 8:23 am
Source: GMAT Prep

The charge for a single room at Hotel P is 25 percent less than the charge for a single room at Hotel R and 10 percent less than the charge for a single room at Hotel G. The charge for a single room at Hotel R is what percent greater than the charge for a single room at Hotel G?

A. 15%
B. 20%
C. 40%
D. 50%
E.150%

The OA is B
We can let the charge for a room at hotel P = p, the charge for a room at hotel G = g, and the charge for a room at hotel R = r.

We are given that the charge for a single room at Hotel P is 25 percent less than the charge for a single room at Hotel R and 10 percent less than the charge for a single room at Hotel G. Thus:

p = 0.75r

And

p = 0.9g

Since both right-hand expressions are equal to p, we set them equal to each other, and then we solve for r.

0.75r = 0.9g

r = 1.2g

Thus, Hotel R’s rate is 20% greater than Hotel G’s rate.

Answer: B

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