A vacation lodge was rented for 10 days at a daily rate of $R. From the total rent paid, the travel agency and the

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BTGmoderatorDC: Moderator; Posts: 7187; Joined: Thu Sep 07, 2017 4:43 pmFollowed by: 23 members

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

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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

Source: Beat The GMAT — Problem Solving | Thu Jul 21, 2022 6:24 pm

swerve: Legendary Member; Posts: 2604; Joined: Sun Oct 29, 2017 2:04 pmFollowed by: 6 members

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

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Brent@GMATPrepNow: GMAT Instructor; Posts: 16206; Joined: Mon Dec 08, 2008 6:26 pmFollowed by: 1268 members; Location: Vancouver, BC; Thanked: 5254 times; 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 Brent@GMATPrepNow » 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

Answer: E

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