OG 10 , salary problem

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blaster: Master | Next Rank: 500 Posts; Posts: 233; Joined: Mon Jun 09, 2008 1:30 am; Thanked: 5 times

by blaster » Wed Apr 14, 2010 1:05 am

it seems that i don't understand the answer for this questiom from book.
Is't it possoble to solve this question like this

Jack's salary in 1984 -x
Kate's salary in 1984 -y

1) x+y=50000

and

x+x*10/100 Jacks salary with 10% increase 1985
y+y*10/100 Kates salalry with 10% increase in 1985

2)x+x*10/100+y+y*10/100= 55000

so we gather this equation togather and solving

x+y=50000
x+x*10/100+y+y*10/100= 55000

so the answer is C.
what i'm missing here? i know that in OG there could not be incorrect question, but i don't get the explanation.

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Source: Beat The GMAT — Data Sufficiency | Wed Apr 14, 2010 1:05 am

eaakbari: Master | Next Rank: 500 Posts; Posts: 435; Joined: Mon Mar 15, 2010 6:15 amFollowed by: 1 member; Thanked: 32 times

by eaakbari » Wed Apr 14, 2010 1:28 am

Stem

If J and K represents salary in 1985 and j and k in 1984
Then
J=1.1j
K=1.1k

We have to find j

Statement one
Tells us j+k=50,000. Not enough to find out j
hence insuff

Statement two
Tells us
J+K=55,000 or 1.1j+1.1k=55,000
Again not enough to find j
Hence Insuff

Combined
We get linear equations
1.1j+1.1k=55,000
j+k=50,000
But on observation , they are the same equation just the second is the first * 1.1

Hence Insuff

Answer E

Last edited by eaakbari on Wed Apr 14, 2010 2:53 am, edited 1 time in total.

Whether you think you can or can't, you're right.
- Henry Ford

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blaster: Master | Next Rank: 500 Posts; Posts: 233; Joined: Mon Jun 09, 2008 1:30 am; Thanked: 5 times

by blaster » Wed Apr 14, 2010 2:46 am

eaakbari wrote:Stem

If J and K represents salary in 1985 and j and k in 1984
Then
J=1.1j
K=1.1k

We have to find j

Statement one
Tells us j+k=50,000. Not enough to find out j
hence insuff

Statement two
Tells us
J+K=55,000 or 1.1j+1.1k=55,000
Again not enough to find j
Hence Insuff

Combined
We get linear equations
1.1j+1.1k=55,000
j+k=50,000

And we can solve to find j. Hence suff

the problem is that, OG 10 says the unswer must be E

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eaakbari: Master | Next Rank: 500 Posts; Posts: 435; Joined: Mon Mar 15, 2010 6:15 amFollowed by: 1 member; Thanked: 32 times

by eaakbari » Wed Apr 14, 2010 2:52 am

Sorry
the answer is E

If you notice
1.1j+1.1k=55,000
j+k=50,000

are the same equation. equation 2 is nothing but equation 1 * 1.1

Hence we cannot solve and answer E

Whether you think you can or can't, you're right.
- Henry Ford

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blaster: Master | Next Rank: 500 Posts; Posts: 233; Joined: Mon Jun 09, 2008 1:30 am; Thanked: 5 times

by blaster » Wed Apr 14, 2010 3:51 am

eaakbari wrote:Sorry
the answer is E

If you notice
1.1j+1.1k=55,000
j+k=50,000

are the same equation. equation 2 is nothing but equation 1 * 1.1

Hence we cannot solve and answer E

thanks ,now get it ))

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