Iwillget770 wrote:
MHIKER wrote:
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%
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 GMATGuruNYHow 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
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.