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A certain library assesses fines for overdue books as follow

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A certain library assesses fines for overdue books as follow [#permalink] New post 17 Apr 2010, 05:10
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A certain library assesses fines for overdue books as follows. On the first day that a book is overdue, the total fine is $0.10. For each additional day that the book is overdue, the total fine is either increased by $0.30 or doubled, whichever results in the lesser amount. What is the total for a book on the fourth day it is overdue?

A. $0.60
B. $0.70
C. $0.80
D. $0.90
E. $1.00
[Reveal] Spoiler: OA

Last edited by Bunuel on 01 Apr 2012, 02:34, edited 1 time in total.
Edited the question and added the OA
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Re: Gmat prep [#permalink] New post 17 Apr 2010, 06:19
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sandranjeim wrote:
A certain library assesses fines for overdue books as follows. On the first day that a book is overdue, the total fine is $0.10. For each additional day that the book is overdue, the total fine is either increased by $0.30 or doubled, whichever results in the lesser amount.
what is the total for a book on the fourth day it is overdue?

OA = $O.70


1st day fine - 0.1
2nd day fine - 0.1*2=0.2 (as doubling gives lower value)
3rd day fine - 0.2*2=0.4 (as doubling gives lower value)
4th day fine - 0.4+0.3=0.7 (as doubling gives higher value we add 0.3 this time)

Answer: 0.7.
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Re: Gmat prep [#permalink] New post 17 Apr 2010, 06:42
I am a little bit lost. Don't we have to add:

0.1+0.2+0.4+0.7


Thanks
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Re: Gmat prep [#permalink] New post 17 Apr 2010, 06:53
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sandranjeim wrote:
I am a little bit lost. Don't we have to add:

0.1+0.2+0.4+0.7


Thanks


Fines are already cumulative.

"For each additional day that the book is overdue, the total fine is ..."

Hope it's clear.
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library [#permalink] New post 23 Sep 2010, 14:08
a certain library assess fines for overdue books as follows, on the first day that book is overdue , the total fine is 0.10. for each additional day that is overdue , the total fine is either inc by .30 or doubled, whichever results in lesser amount. What is the total fine for a book on the fourth day it is over due?
.60
.70
.80
.90
1.00.
I am getting .90 answer. my Reasoning is as follows
1(day) .10
2(day) .20 ( 2(.10)= .20 or.30 ,lesser amount .20)
3(day) .30 (2(.20)= .40 or .30, lesser amt= .30)
4(day) .30 (2(.30) =.60 or .30, lesser amount = .30)
total = .90. I dont know what am i missing?
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Re: library [#permalink] New post 23 Sep 2010, 14:15
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TomB wrote:
a certain library assess fines for overdue books as follows, on the first day that book is overdue , the total fine is 0.10. for each additional day that is overdue , the total fine is either inc by .30 or doubled, whichever results in lesser amount. What is the total fine for a book on the fourth day it is over due?
.60
.70
.80
.90
1.00.
I am getting .90 answer. my Reasoning is as follows
1(day) .10
2(day) .20 ( 2(.10)= .20 or.30 ,lesser amount .20)
3(day) .30 (2(.20)= .40 or .30, lesser amt= .30)
4(day) .30 (2(.30) =.60 or .30, lesser amount = .30)
total = .90. I dont know what am i missing?


First of all you made an error calculating 4th day:
4th day fine - 0.4+0.3=0.7 (as doubling gives higher value we add 0.3 this time)

Next you should't add up fines as they are already cumulative: "For each additional day that the book is overdue, the total fine is ..."
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Re: Gmat prep [#permalink] New post 25 Sep 2010, 14:32
thanks for correcting my error
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Re: PS question: need help [#permalink] New post 15 Oct 2010, 00:02
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satishreddy wrote:
A certain library assesses fines for overdue book as follows. On the first day that a book is overdue, the total fine is $0.10, for each additional day that the book is overdue, the total fine is either increased by $0.30 or doubled, whichever results in the lesser amount, what is the total fine for a book on the fourth day it is overdue.

$0.60
$0.70
$0.80
$0.90
$1.00

OA:B

i know, this seems simple, but couldnt crack it,,,,,,,,,,,,,i dont know what my brain is thinking,,,,may be a movie or a budlight,,,,,,,


Day 1 : 0.1
Day 2 : Min{0.1x2,0.1+0.3}=0.2
Day 3 : Min{0.2x2,0.2+0.3}=0.4
Day 4 : Min{0.4x2,0.4+0.3}=0.7

And thus B
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Re: A certain library assesses fines for overdue books as follow [#permalink] New post 23 Jul 2013, 01:50
First day - 0.1 $ (agreed)
Second day - (0.1*2)$ = 0.2$ (Agreed, as the mount is less than 0.3$)
Third day - (0.2*2) =0.4$ (Which is more than 0.3$) (Not clear)
Fourth day - Depends on third day.

Can anyone help with this ????????
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Re: A certain library assesses fines for overdue books as follow [#permalink] New post 23 Jul 2013, 02:31
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genuinebot85 wrote:
First day - 0.1 $ (agreed)
Second day - (0.1*2)$ = 0.2$ (Agreed, as the mount is less than 0.3$)
Third day - (0.2*2) =0.4$ (Which is more than 0.3$) (Not clear)
Fourth day - Depends on third day.

Can anyone help with this ????????


Try this solution: a-certain-library-assesses-fines-for-overdue-books-as-follow-92821.html#p714624

Hope it helps.
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Re: A certain library assesses fines for overdue books as follow [#permalink] New post 05 Sep 2013, 10:01
Bunuel,

I am finding it tough solving 700+ questions, getting 70% accuracy, and thats quality in questions. Working on improvement.

But these 600-700 questions looks very school like stuff. Are they really 600 level questions ? or 600 level is quite low?
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Re: A certain library assesses fines for overdue books as follow [#permalink] New post 05 Sep 2013, 10:21
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ygdrasil24 wrote:
Bunuel,

I am finding it tough solving 700+ questions, getting 70% accuracy, and thats quality in questions. Working on improvement.

But these 600-700 questions looks very school like stuff. Are they really 600 level questions ? or 600 level is quite low?


44% of the users answered this question incorrectly, so this question is not that easy. 600+ is about right for it.
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A certain library assesses fines for overdue books as follow [#permalink] New post 29 Sep 2014, 00:30
For the ease of calculation, I removed the decimal point from the question as well as from the OA's

1st day = 10

2nd day = 10*2 = 20 {10+30>10*2}

3rd day = 20*2 = 40 {20+30>20*2}

4th day = 40+30 = 70 {40+30 < 40*2}

Answer = B
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A certain library assesses fines for overdue books as follow   [#permalink] 29 Sep 2014, 00:30
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