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# A library uses the overdue-fee schedule shown below to

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Manager
Joined: 27 Jul 2011
Posts: 183

Kudos [?]: 294 [0], given: 103

A library uses the overdue-fee schedule shown below to [#permalink]

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13 Jul 2012, 00:42
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Difficulty:

45% (medium)

Question Stats:

62% (07:34) correct 38% (01:20) wrong based on 55 sessions

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A library uses the overdue-fee schedule shown below to determine what to charge a patron who turns in a book after the due date. If a patron turned in a book worth \$22 and a due date of April 12, on what day was the book turned in?
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(1) The overdue fee was \$1.10.

(2) If the book had been turned in one day later, the overdue fee would have been \$4.40 more.
[Reveal] Spoiler: OA

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Last edited by Bunuel on 13 Jul 2012, 04:59, edited 2 times in total.
EDITED THE QUESTION AND THE OA.

Kudos [?]: 294 [0], given: 103

Math Expert
Joined: 02 Sep 2009
Posts: 42545

Kudos [?]: 135227 [2], given: 12673

Re: A library uses the overdue-fee schedule shown below to [#permalink]

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13 Jul 2012, 05:18
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Expert's post
A library uses the overdue-fee schedule shown below to determine what to charge a patron who turns in a book after the due date. If a patron turned in a book worth \$22 and a due date of April 12, on what day was the book turned in?

(1) The overdue fee was \$1.10. \$1.10 is 5% of \$22, so the book was turned in, during the second period, between 8 and 14 days after 12th of April. Not sufficient.

(2) If the book had been turned in one day later, the overdue fee would have been \$4.40 more. This statement implies that the book was turned in on the last day of a certain period. Next, \$4.40 is 20% of \$22, 20% increment is between 2nd and 3rd; 3rd and 4th; and 4th and 5th periods. Not sufficient.

(1)+(2) Since from (2) the book was turned in on the last day of certain period and from (1) the book was turned in during the second period, then the book was turned in 14 days after 12th of April. Sufficient.

Hope it's clear.
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Kudos [?]: 135227 [2], given: 12673

Intern
Joined: 03 May 2015
Posts: 19

Kudos [?]: [0], given: 34

Re: A library uses the overdue-fee schedule shown below to [#permalink]

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25 Jul 2015, 00:17
Good Explanation. Clear now.

Kudos [?]: [0], given: 34

Re: A library uses the overdue-fee schedule shown below to   [#permalink] 25 Jul 2015, 00:17
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