A vacation lodge was rented for 10 days at a daily rate of $R. From the total rent paid, the travel agency and the resident manager each were paid 10% and the cleaning service was paid $100. If, after these 3 payments were made, $2,000 remained of the total rent paid, then what is the value of R ?
A. $170.00
B. $237.50
C. $240.00
D. $260.00
E. $262.50
OA E
Source: GMAT Prep
Live Online Classes
Starting June 20
Starting June 20
FIND A CLASS NOW
TTP LiveTeach: A powerful GMAT® course taught live online
A vacation lodge was rented for 10 days at a daily rate of $R. From the total rent paid, the travel agency and the
This topic has expert replies
-
BTGmoderatorDC
- Moderator
- Posts: 7187
- Joined: Thu Sep 07, 2017 4:43 pm
- Followed by:23 members
Timer
00:00
Your Answer
A
B
C
D
E
Global Stats
Let's try as followsBTGmoderatorDC wrote: ↑Thu Jul 21, 2022 6:24 pmA vacation lodge was rented for 10 days at a daily rate of $R. From the total rent paid, the travel agency and the resident manager each were paid 10% and the cleaning service was paid $100. If, after these 3 payments were made, $2,000 remained of the total rent paid, then what is the value of R ?
A. $170.00
B. $237.50
C. $240.00
D. $260.00
E. $262.50
OA E
Source: GMAT Prep
\(10R - R - R - 100 = 2000\)
\(8R = 2100\)
\(R= 262.5 \, \Longrightarrow\,\)E
GMAT/MBA Expert
-
[email protected]
- GMAT Instructor
- Posts: 16202
- Joined: Mon Dec 08, 2008 6:26 pm
- Location: Vancouver, BC
- Thanked: 5254 times
- Followed by:1268 members
- GMAT Score:770
A vacation lodge was rented for 10 days at a daily rate of $R.BTGmoderatorDC wrote: ↑Thu Jul 21, 2022 6:24 pmA vacation lodge was rented for 10 days at a daily rate of $R. From the total rent paid, the travel agency and the resident manager each were paid 10% and the cleaning service was paid $100. If, after these 3 payments were made, $2,000 remained of the total rent paid, then what is the value of R ?
A. $170.00
B. $237.50
C. $240.00
D. $260.00
E. $262.50
OA E
Source: GMAT Prep
So, TOTAL rent = (10)($R) = 10R dollars
From the total rent paid, the travel agency and the resident manager each were paid 10% and the cleaning service was paid $100
Amount the travel agency receives = 10% of 10R dollars = R dollars
Amount the resident manager receives = 10% of 10R dollars = R dollars
Amount of the cleaning service receives = 100 dollars
After these 3 payments were made, $2,000 remained of the total rent paid
We can write: 10R - R - R - 100 = 2000
Simplify: 8R - 100 = 2000
Add 100 to both sides: 8R = 2100
Divide both sides by 8 to get: R = 2100/8 = 262.5
Answer: E
Brent Hanneson - Creator of GMATPrepNow.com
