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Advance Purchase Discount for Airline Travel

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Advance Purchase Discount for Airline Travel [#permalink] New post 15 Jan 2008, 07:23
Advance Purchase Discount for Airline Travel
~~~~~~~~~~~~~~~~~~~~~~~~~~~~~
Days Prior to departure | Percentage discount
------------------------------------------------------
0-6 days | 0%
7-13 days | 10%
14-29 days | 25%
30 days or more | 40%
------------------------------------------------------

The table above shows the discount structure for advanced purchase of tickets at a particular airline. A passenger bought a ticket at this airline for $1050. The ticket agent informed her that, had she purchased the ticket one day later, she would have paid $210 more. How many days beforeher departure did she purchase her ticket?

a) 6days
b) 7 days
c) 13 days
d) 14 days
e) 29 days
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Re: Math:Princeton-page359 [#permalink] New post 15 Jan 2008, 07:58
Expert's post
D

p0 - price without discount.
p1 - price that she paid
p2 - price that she would have paid.

p2/p1=(1050+210)/1050=1.2

1. 0%,10%: p2/p1=p0/0.9p0~1.1<1.2 out
2. 10%,25%: p2/p1=0.9p0/0.75p0=1.2 ok
3. 25%,40%: p2/p1=0.75p0/0.60p0=1.25 out

14days
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Re: Math:Princeton-page359 [#permalink] New post 19 Jan 2008, 06:04
Could you please simplify?
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Re: Math:Princeton-page359 [#permalink] New post 09 Feb 2008, 09:03
I am also confused. can anyone please elaborate?

Thanks...
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Re: Math:Princeton-page359 [#permalink] New post 09 Feb 2008, 09:16
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Way I did it...

Options A,C,E are out as they are not satisfying a condition where next day purchase gets one into different discount range.

Consider 7 days.

Passenger paid 1050 which has to be 90% of original price.
So 10% is 105; if she purchases next day it would not cost more than 105 extra.

Obvious choice left is D. 14 days.

Validate....

1050 is 75% with current discount. so Price has to be 1400 ( 1050 is 75% so what is 100%)
If she purchases next day discount reduces to 10%
90% of 1400 - 1050 matches 210 (extra he/she has to pay)
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Re: Math:Princeton-page359 [#permalink] New post 10 Feb 2008, 09:13
I got it... thanks dude :-D
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Re: Math:Princeton-page359 [#permalink] New post 10 Feb 2008, 21:00
navami wrote:
Advance Purchase Discount for Airline Travel
~~~~~~~~~~~~~~~~~~~~~~~~~~~~~
Days Prior to departure | Percentage discount
------------------------------------------------------
0-6 days | 0%
7-13 days | 10%
14-29 days | 25%
30 days or more | 40%
------------------------------------------------------

The table above shows the discount structure for advanced purchase of tickets at a particular airline. A passenger bought a ticket at this airline for $1050. The ticket agent informed her that, had she purchased the ticket one day later, she would have paid $210 more. How many days beforeher departure did she purchase her ticket?

a) 6days
b) 7 days
c) 13 days
d) 14 days
e) 29 days


First Elim ACE b/c these choices wouldnt change the value of the ticket given the conditions.

so now try for B: 1050=.9x --> not an integer so this isn't our choice

D: 1050=.75x --> x=1400

now .9(1400) = 1260 --> and 1050+210 =1260.
Re: Math:Princeton-page359   [#permalink] 10 Feb 2008, 21:00
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