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. From the total rent paid, the travel agency and the
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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
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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