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Iwillget770
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The charge for a single room at Hotel P is 25 percent less than the ch 15 Dec 2023, 06:09
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MHIKER
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%

Show Spoiler
I solved the the problem as follows:
Let rate in R = 100x
then P = 75x

G = 100y
P = 90y

Thus
75x=90y
or x = 1.20 y
Ans R = 120y
so increase = 20%

But I tried first to solve the problem as follows:
p = 100
R = 120
G = 110
and Failed Please help on my second effort.
Show more

Hi Experts,
Bunuel GMATGuruNY

How to interpret the below line ?

The charge for a single room at Hotel R is what percent greater than the charge for a single room at Hotel G ?

I interpreted it as below :-
[(Hotel R- Hotel G)/Hotel R ]*100

When can I interpret it as [(Hotel R- Hotel G)/Hotel R ]*100 and when can I interpret it as [(Hotel R- Hotel G)/Hotel G ]*100

Regards
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Bunuel
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The charge for a single room at Hotel P is 25 percent less than the ch 18 Dec 2023, 08:50
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Iwillget770
MHIKER
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%

Show Spoiler
I solved the the problem as follows:
Let rate in R = 100x
then P = 75x

G = 100y
P = 90y

Thus
75x=90y
or x = 1.20 y
Ans R = 120y
so increase = 20%

But I tried first to solve the problem as follows:
p = 100
R = 120
G = 110
and Failed Please help on my second effort.

Hi Experts,
Bunuel GMATGuruNY

How to interpret the below line ?

The charge for a single room at Hotel R is what percent greater than the charge for a single room at Hotel G ?

I interpreted it as below :-
[(Hotel R- Hotel G)/Hotel R ]*100

When can I interpret it as [(Hotel R- Hotel G)/Hotel R ]*100 and when can I interpret it as [(Hotel R- Hotel G)/Hotel G ]*100

Regards
Show more

The general formula for calculating percent increase or decrease (percent change) is: \(\frac{\text{Difference in values}}{\text{Reference value}}*100\). The reference value is the value you are comparing to.

Therefore, for the correct interpretation of 'The charge for a single room at Hotel R is what percent greater than the charge for a single room at Hotel G?', would be \(\frac{\text{Hotel R} - \text{Hotel G}}{\text{Hotel G}} *100\). In this instance, Hotel G serves as the reference point since the question asks how much more Hotel R's charge is compared to Hotel G.

Hope it's clear.
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harryzhang
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The charge for a single room at Hotel P is 25 percent less than the ch 27 Oct 2025, 22:39
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conditions:
P = 0.75R
P = 0.9G

ask:
R = ?G

process:
P = P
0.75R = 0.9G
R = 0.9/3*4G
R = 1.2G = charge for R is B (20%) greater than G
MHIKER
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%

Show Spoiler
I solved the the problem as follows:
Let rate in R = 100x
then P = 75x

G = 100y
P = 90y

Thus
75x=90y
or x = 1.20 y
Ans R = 120y
so increase = 20%

But I tried first to solve the problem as follows:
p = 100
R = 120
G = 110
and Failed Please help on my second effort.
Show more
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atquereiciendis
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The charge for a single room at Hotel P is 25 percent less than the ch 31 Jan 2026, 10:02
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If R = 100, then:
P = 75 (The charge for a single room at Hotel P is 25 percent less than the charge for a single room at Hotel R)
G = 250/3 ≈ 83.3333. (The charge for a single room at Hotel P is 10 percent less than the charge for a single room at Hotel G.)


Then % change should be (100-83.33)/100=17.03% not 20% Bunuel plz explain
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Bunuel
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The charge for a single room at Hotel P is 25 percent less than the ch 31 Jan 2026, 10:11
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atquereiciendis
If R = 100, then:
P = 75 (The charge for a single room at Hotel P is 25 percent less than the charge for a single room at Hotel R)
G = 250/3 ≈ 83.3333. (The charge for a single room at Hotel P is 10 percent less than the charge for a single room at Hotel G.)


Then % change should be (100-83.33)/100=17.03% not 20% Bunuel plz explain
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The mistake is the base you used for the percent comparison.

“R is what percent greater than G” means percent increase relative to G, so you must divide the difference by G, not by R.

Difference = 100 minus 83 1/3 = 16 2/3

Percent greater than G = (16 2/3) /(83 1/3) = 0.20 = 20%

This is also explained here: https://gmatclub.com/forum/the-charge-f ... l#p3321311

Hope it helps.
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