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On June 1, Mary paid Omar $360 for rent and utilities for the month of

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On June 1, Mary paid Omar $360 for rent and utilities for the month of  [#permalink]

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New post 24 Jun 2018, 11:27
12
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A
B
C
D
E

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Question Stats:

72% (01:19) correct 28% (01:13) wrong based on 593 sessions

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On June 1, Mary paid Omar $360 for rent and utilities for the month of June. Mary moved out early, and Omar refunded the money she paid for utilities, but not for rent, for the days in June after she moved out. How many dollars did Omar refund to Mary?

(1) Mary moved out on June 24.
(2) The amount Mary paid for utilities was less than 1/5 the amount Mary paid for rent.


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(DS08420)

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On June 1, Mary paid Omar $360 for rent and utilities for the month of  [#permalink]

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New post 24 Jun 2018, 11:41
(1) Mary moved out on June 24.
Clearly insufficient as it does not tell how many portions of 360 were for utilities
(2) The amount Mary paid for utilities was less than 1/5 the amount Mary paid for rent.
Insufficient as it does not tell when did Mary move out
Combining statement 1 and 2
Let rent be x so utilities will be less than x/5.
x+ x/5= 360
hence utilities will be 60 for the whole month. for 6 days to refund it will be less than 12 $ but we don't exactly what less than 12$.
Hence E insufficient.
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On June 1, Mary paid Omar $360 for rent and utilities for the month of  [#permalink]

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New post 24 Jun 2018, 12:40
Bunuel wrote:
On June 1, Mary paid Omar $360 for rent and utilities for the month of June. Mary moved out early, and Omar refunded the money she paid for utilities, but not for rent, for the days in June after she moved out. How many dollars did Omar refund to Mary?

(1) Mary moved out on June 24.
(2) The amount Mary paid for utilities was less than 1/5 the amount Mary paid for rent.

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(DS08420)


For the month of June, Rent & Utilities of $360 is paid by Mary to Omar. A refund is
given because Mary does not stay for the entire month.

(1) Mary moved out on June 24.
This shows that she was not occupying the house for 6 days in the month of June.
However, this information is not enough to find the exact amount of the refund (Insufficient)

(2) The amount Mary paid for utilities was less than 1/5 the amount Mary paid for rent.
We know that the amount Mary paid for utilities was LESS than \(\frac{1}{5}\)th the amount she
paid for rent. However, since we aren't given by exactly how much the cost of utilities is
less than the cost for the rent, we can't find the exact amount of the refund. (Insufficient)

Even with the combination statement, we cannot clearly assess the exact refund which
was returned to Mary(since we aren't given an exact ratio of cost of utilities to rent (Insufficient - Option E)
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Re: On June 1, Mary paid Omar $360 for rent and utilities for the month of  [#permalink]

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New post 25 Jun 2018, 04:08

Solution



Given:
    • On June 1, Mary paid Omar $360 for rent and utilities for the month of June
    • Mary moved out early, and Omar refunded the money she paid for utilities, but not for rent, for the days in June after she moved out

To find:
    • The amount (in dollars) that Omar refunded to Mary

Analysing Statement 1
    • As per the information given in statement 1, Mary moved out on June 24.
      o We can only say Mary didn’t occupy the room for the last 6 days of the month of June
      o But we cannot find out the refund amount as we don’t know what amount was allocated, out of $360, towards rent and utilities individually

Hence, statement 1 is not sufficient to answer

Analysing Statement 2
    • As per the information given in statement 2, the amount Mary paid for utilities was less than \(\frac{1}{5}\) the amount Mary paid for rent
      o If Mary paid x as rent, then we can say the amount paid for utilities was less than \(\frac{x}{5}\)
      o However, the exact less amount cannot be found out, neither the rent amount

Hence, statement 2 is not sufficient to answer

Combining Both Statements
Even after combining the statements, we cannot find out the exact rent amount or the proportion of the total $360

Hence, the correct answer is option E.

Answer: E
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Re: On June 1, Mary paid Omar $360 for rent and utilities for the month of   [#permalink] 25 Jun 2018, 04:08
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On June 1, Mary paid Omar $360 for rent and utilities for the month of

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