GMAT Club Around The World!!! A group of 10 roommates share the rent

Question

A group of 10 roommates share the rent for an apartment equally. If the apartment's monthly rent is r dollars and x of the roommates move out, which of the following is an expression for the additional rent paid by each remaining roommate?

A.  \frac{RX }{ 10(10-X)}

B.  \frac{10R}{X}

C.  \frac{R }{ 10(10-X)}

D.  \frac{R }{ 10 - X}

E.  \frac{RX }{ 10 - X}

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Deepakjhamb · Answer

solution :

original rent per person = r/10 new rent per person when x people leave is r/(10-x)

so additional rent per person = r/10-x - r/10 = rx/(10)(10-x)

so answer is A)

rocky620 · Answer

Initial rent paid by each roommate 
Roommates = 10
Rent = r
Rent per roommate = r/10........ eq1

Post movement of x roommates, rent paid by each roommate 
Roommates = 10-x
Rent = r
Rent per roommate = r/(10-x)........ eq2

Rent Increase = eq2 - eq1 (since denominator is decreased)

IMO Option A

ananya3 · Answer

IMO A

original rent per person with 10 roommates =  \frac{R}{10} 
new rent per person after x people moved out =  \frac{R}{(10-X)} 
additional rent per person for the remaining people 
=  \frac{R}{10-X} - \frac{R}{10} 
=  R * (\frac{10 - (10-X)}{10*(10-X)}) 
=  \frac{R* X}{10 (10-X)}

TarunKumar1234 · Answer

Given, each tenant has to pay= R/10 dollars loss due to movement of x roommates= R*X/10 that has to divide among rest of roommates Additional payment required= R*X/{10*(10-X)} So, I think A.

manasi05 · Answer

Apartment’s monthly rent is R dollars
R/10 is the value that each roommate pays for the rent
If X roommates move out then (X*R)/10 will be the amount left to be paid which will be divided equally in rest of the roommates which is 10-X
So the additional rent will (R*X)/10(10-X)
The answer will be A

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GMAT Club Around The World!!! A group of 10 roommates share the rent

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