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# Looking for the fastest approach to this problem..

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Senior Manager
Joined: 04 Aug 2008
Posts: 372
Looking for the fastest approach to this problem.. [#permalink]

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11 Nov 2008, 14:18
This topic is locked. If you want to discuss this question please re-post it in the respective forum.

Looking for the fastest approach to this problem...
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Joined: 29 Aug 2007
Posts: 2467
Re: Henry saves next year [#permalink]

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11 Nov 2008, 15:13
spiridon wrote:
Looking for the fastest approach to this problem...

Edited: B to E.

R = total revenue this year
S = savings this year available next year
E = expenditure this year
r = intrest rate

E/2 = S (1+r)
E = 2S (1+r)
R = S+ER = 2S(1+r) + SR = 2S + 2Sr + SR = 3S + 2SrR = S (3+ 2r)
S/R = 1/(3+ 2r)

So it is E. not B. I tried to this calculation in my mind. Not so good.I should change my approch of mind calculation...
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Senior Manager
Joined: 04 Aug 2008
Posts: 372
Re: Henry saves next year [#permalink]

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12 Nov 2008, 07:36
I guess there is no shortcut here
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Joined: 28 Dec 2004
Posts: 3342
Location: New York City
Schools: Wharton'11 HBS'12
Re: Henry saves next year [#permalink]

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12 Nov 2008, 09:47
i think my method is simple enough..

suppose he saves X, then he spends (1-x)

x(1+r)=(1-x)/2

or 2x(1+r)=1-x

3x+2xr=1 or x(3+2r)=1 or x=1/(3+2r)

e it is..
Re: Henry saves next year   [#permalink] 12 Nov 2008, 09:47
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# Looking for the fastest approach to this problem..

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