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fraction

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VP
Joined: 18 May 2008
Posts: 1203

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07 Feb 2009, 05:27

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Manager
Joined: 21 Aug 2008
Posts: 85

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07 Feb 2009, 07:55
May
Lee's Income=L
Lee's Family income=LF
Also,
L=.6LF--- (1)

June
Lee's Income=1.2L
Lee's Family income=LF

We want to find
(1.2L/LF)*100===?
From (1),
LF=5L/3

Hence (1.2L/LF)*100=(1.2L/5L/3)*100=(3.6/5)*100=72%
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VP
Joined: 18 May 2008
Posts: 1203

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07 Feb 2009, 08:42
I also calculated answer as 72% but its not the OA
Manager
Joined: 04 Jan 2009
Posts: 235

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07 Feb 2009, 11:19
ritula wrote:
I also calculated answer as 72% but its not the OA

let the total income in may for Lees be 100.
Mrs income is 60.
Rest of Lees make 40.
In june, Mrs makes 72. Rest of the family stays at 40.
So,
72/(72+40)=72/112=18/28 = 9/14 = .64
Hence, A.
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tusharvk

Senior Manager
Joined: 30 Nov 2008
Posts: 482
Schools: Fuqua

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07 Feb 2009, 11:59
Let be Mrs L income in MAY be x. It is given this is 60% of TI(Total income)

==> x = 60% of TI

In June she earned 20 % more than in may ie her income in June will be X+ 20% x = 120% x

Now 120% X will be 120 % of 60 % of TI = $$120 / 100 * 60 /100 * TI$$ = 72 % of TI
Manager
Joined: 01 May 2008
Posts: 109
Location: São Paulo

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07 Feb 2009, 14:46
Let's pick numbers. Mr. Lee earns $60, and the income of his family is$ 100. If he gets 20% more, he gets $72, and Lee's family total income would be$ 112.
So, 72 / 112 = aprox. 64%. A is the correct answer
Senior Manager
Joined: 30 Nov 2008
Posts: 482
Schools: Fuqua

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07 Feb 2009, 16:02
Oops.....that is true. Answer might be A.
SVP
Joined: 07 Nov 2007
Posts: 1760
Location: New York

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07 Feb 2009, 22:43
%= 72/72+40 = 9/(5+9)=9/14 = 64.28%

A
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SVP
Joined: 29 Aug 2007
Posts: 2453

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07 Feb 2009, 23:14
ritula wrote:

$$It should be A.$$

$$= \frac{1.2 (0.6x)}{1.2(0.6x)+0.4x}$$

$$= approx........... 64%$$
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VP
Joined: 18 May 2008
Posts: 1203

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08 Feb 2009, 10:34
OA is A.
Thanks 2 all
Manager
Joined: 04 Jan 2009
Posts: 235

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08 Feb 2009, 13:32
x2suresh wrote:
%= 72/72+40 = 9/(5+9)=9/14 = 64.28%

A

Suresh

how did you get the last two decimals? I was only able to do 64 without calculator.
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tusharvk

SVP
Joined: 07 Nov 2007
Posts: 1760
Location: New York

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08 Feb 2009, 15:22
tusharvk wrote:
x2suresh wrote:
%= 72/72+40 = 9/(5+9)=9/14 = 64.28%

A

Suresh

how did you get the last two decimals? I was only able to do 64 without calculator.

try again???? you will get the fractional part too..
though it is not necessary find fractional part for this question..
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SVP
Joined: 29 Aug 2007
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08 Feb 2009, 20:12
tusharvk wrote:
x2suresh wrote:
%= 72/72+40 = 9/(5+9)=9/14 = 64.28%

A

Suresh

how did you get the last two decimals? I was only able to do 64 without calculator.

Precisely, it is 64.29%.

=0.72/1.12
= 9/14
= 64.29%

--== Message from GMAT Club Team ==--

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If you would like to discuss this question please re-post it in the respective forum. Thank you!

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Re: fraction   [#permalink] 08 Feb 2009, 20:12
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