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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]  03 Feb 2012, 07:32
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70% (01:29) correct 30% (00:43) wrong based on 112 sessions
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 increased by \$0.30 or doubled, whichever results in a 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

i approached it and got 1.00, but i cant understand why .70, which is B
Someone care to show me how to approach this question
thanks
[Reveal] Spoiler: OA

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Re: CERTAIN LIBRARY [#permalink]  03 Feb 2012, 07:36
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manalq8 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 increased by \$0.30 or doubled, whichever results in a 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

i approached it and got 1.00, but i cant understand why .70, which is B
Someone care to show me how to approach this question
thanks

Notice that, fines are already cumulative: "For each additional day that the book is overdue, the total fine is ..."

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)

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Re: A certain library assesses fines for overdue books as follow [#permalink]  03 Feb 2012, 09:04
oh, i see now. I guess I need to pay extra attention for the wording. thanks alot Bunuel
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Re: A certain library assesses fines for overdue books as follow [#permalink]  15 Jan 2013, 07:16
Expert's post
pretty confused with the wordings.
The total fine is increased by \$0.30 or doubled. Doesn't that means the total fine is doubled?
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Re: A certain library assesses fines for overdue books as follow [#permalink]  15 Jan 2013, 07:30
Expert's post
Marcab wrote:
pretty confused with the wordings.
The total fine is increased by \$0.30 or doubled. Doesn't that means the total fine is doubled?

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Re: A certain library assesses fines for overdue books as follow [#permalink]  15 Jan 2013, 07:57
Expert's post
Quote:
the total fine is increased by \$0.30 or doubled

My question was, doesn't "doubled" modifies "total fine"? I mistook it as this way and hence got this one wrong.
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Re: A certain library assesses fines for overdue books as follow [#permalink]  16 Jan 2013, 13:10
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the total fine is increased by \$0.30 or doubled, whichever results in a lesser amount - Keep the bolded phrases in mind .. it is quite confusing though ..
Day 1 - \$.10
Day 2- \$.10 *2 or \$.10+\$.30 (Whichever results in a lesser amount), hence its \$.20
Day 3 - \$.20*2 or \$.20+\$.30, \$.40 as its lesser
Day 4 - \$.40*2 or \$.40+\$.30, \$.70 as this is lesser

So, Ans B.
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Re: A certain library assesses fines for overdue books as follow [#permalink]  20 Apr 2013, 01:19
Hi,

I am little confused, since the question mentions that the total fine be increased by 0.3 or double, won't the question be solved in following way:

day 1 - 0.1
day 2 - 2*0.1 = 0.2
day 3 (total due = 0.3, day 1 + day 2) = 0.6
day 4 = 0.9

can anyone please point out the mistake in my understanding of the question?

Regards,
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Re: A certain library assesses fines for overdue books as follow [#permalink]  20 Apr 2013, 04:08
Expert's post
Hi,

I am little confused, since the question mentions that the total fine be increased by 0.3 or double, won't the question be solved in following way:

day 1 - 0.1
day 2 - 2*0.1 = 0.2
day 3 (total due = 0.3, day 1 + day 2) = 0.6
day 4 = 0.9

can anyone please point out the mistake in my understanding of the question?

Regards,

Total fine at the end of the 2nd day = 0.2. This means that the total fine, including the past fines, at the end of the second day is 0.2. Notice that 0.1 has already been accounted for.Thus, when you are calculating the total fine at the end of the third day, you refer to 0.2. Thus, total fine at the end of the third day is 0.2*2=0.4.
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Re: A certain library assesses fines for overdue books as follow [#permalink]  20 Apr 2013, 04:10
Expert's post
Hi,

I am little confused, since the question mentions that the total fine be increased by 0.3 or double, won't the question be solved in following way:

day 1 - 0.1
day 2 - 2*0.1 = 0.2
day 3 (total due = 0.3, day 1 + day 2) = 0.6
day 4 = 0.9

can anyone please point out the mistake in my understanding of the question?

Regards,

Notice that, fines are already cumulative: "For each additional day that the book is overdue, the total fine is ..."
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Re: A certain library assesses fines for overdue books as follow [#permalink]  20 Apr 2013, 04:12
thanks, I really messed up in this question...
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Re: Total fine of book on the 4th day of its overdue ? [#permalink]  23 Apr 2013, 02:17
This one's tricky for sure.
Easy to fall for D.
Here's the solution
Day 1 = 0.1\$
Day 2 ( Double or increase by 0.3\$, chose the minimum one)
Option1: Double -> 0.1*2= 0.2\$
Option2: Increase by 0.3\$ -> 0.1+0.3 = 0.4\$
Minimum one: 0.2\$
Day 3
Option1: Double -> 0.2*2=0.4\$
Option2: Increase by 0.3\$ -> 0.2+0.3=0.5\$
Minimum one: 0.4\$
Day 4
Option1: Double -> 0.4*2=0.8\$
Option2: Increase by 0.3\$ -> 0.4+0.3=0.7\$
Minimum one: 0.7\$
hence the OA.
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Re: A certain library assesses fines for overdue books as follow [#permalink]  19 Jun 2014, 23:47
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Re: A certain library assesses fines for overdue books as follow   [#permalink] 19 Jun 2014, 23:47
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