## A vacation lodge was rented for 10 days at a daily rate of $R. From the total rent paid, the travel agency and the ##### This topic has expert replies Moderator Posts: 6768 Joined: 07 Sep 2017 Followed by:21 members ### A vacation lodge was rented for 10 days at a daily rate of$R. From the total rent paid, the travel agency and the

by BTGmoderatorDC » Thu Jul 21, 2022 6:24 pm

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## Global Stats

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

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### Re: A vacation lodge was rented for 10 days at a daily rate of $R. From the total rent paid, the travel agency and the by swerve » Sun Jul 24, 2022 2:18 pm BTGmoderatorDC wrote: Thu Jul 21, 2022 6:24 pm A vacation lodge was rented for 10 days at a daily rate of$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 Let's try as follows $$10R - R - R - 100 = 2000$$ $$8R = 2100$$ $$R= 262.5 \, \Longrightarrow\,$$E ### GMAT/MBA Expert GMAT Instructor Posts: 16136 Joined: 08 Dec 2008 Location: Vancouver, BC Thanked: 5254 times Followed by:1268 members GMAT Score:770 ### Re: A vacation lodge was rented for 10 days at a daily rate of$R. From the total rent paid, the travel agency and the

by [email protected] » Mon Aug 01, 2022 6:56 am
BTGmoderatorDC wrote:
Thu Jul 21, 2022 6:24 pm
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
A vacation lodge was rented for 10 days at a daily rate of $R. So, TOTAL rent = (10)($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