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The charge for a single room at Hotel P is 25 percent less

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Manager
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S
Joined: 03 Mar 2017
Posts: 118
Location: India
GMAT 1: 650 Q45 V34
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Re: The charge for a single room at Hotel P is 25 percent less  [#permalink]

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New post 30 Jun 2019, 06:56
Baten80 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.


let charge for hotel R be x and charge for hotel G be y

therefore 3/4 x=9/10 y
=> x/y=6/5

therefore 1/5 more and hence 20% more
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Posts: 5924
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Concentration: Sustainability, Marketing
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WE: Marketing (Energy and Utilities)
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Re: The charge for a single room at Hotel P is 25 percent less  [#permalink]

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New post 30 Jun 2019, 09:27
G=y
R=x
P=0.75x=0.9y
so x=1.2y
% ∆ = 1.2y-y/y = .2y/y ; 20%
IMO B


Baten80 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.
GMAT Club Bot
Re: The charge for a single room at Hotel P is 25 percent less   [#permalink] 30 Jun 2019, 09:27

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