question from ets paper

Expert replies

sportypk: Junior | Next Rank: 30 Posts; Posts: 15; Joined: Mon Mar 31, 2008 11:01 amFollowed by: 1 member

by sportypk » Fri May 30, 2008 10:14 am

Kim has 40 percent more money than Sal and Sal has
20 percent less money than Phil. If Sal and Phil have
a combined total of $1.80, how much money does
Kim have?
(A) $1.00
(B) $1.12
(C) $1.20
(D) $1.32
(E) $1.40

the OA is B.

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Source: Beat The GMAT — Problem Solving | Fri May 30, 2008 10:14 am

aatech: Master | Next Rank: 500 Posts; Posts: 192; Joined: Tue Apr 29, 2008 7:41 am; Thanked: 14 times

by aatech » Fri May 30, 2008 10:35 am

Suppose Phil has $x

Then Sal has x- 20% of x = 4x/5

Then Kim has 4x/5 + 40% of 4x/5

Q says x + 4x/5 = 1.80 Solve for x to get x = 1

Kim has 4/5 + 40% of 4/5 = 1.12 ANS

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zacharyz: Senior | Next Rank: 100 Posts; Posts: 68; Joined: Thu Feb 14, 2008 4:11 pm; Thanked: 7 times

by zacharyz » Fri May 30, 2008 10:42 am

sporty - one request. can you use the spoiler when you post the answer:

example: OA A

when writing the post, highlight the solution part and click "Spoiler"... it will start/end with brackets and 'spoiler'

That will make the game a little sportier for those of us solving this too.

Thanks!

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egybs: Master | Next Rank: 500 Posts; Posts: 178; Joined: Wed May 14, 2008 3:51 pmFollowed by: 1 member; Thanked: 16 times; GMAT Score:99%+

by egybs » Fri May 30, 2008 11:42 am

Here's a slightly more complete (i think) explanation:

k=(7/5)s
s=(4/5)p
s+p = 9/5

So s+p -s = 9/5 - (4/5)p
p+(4/5)p =9/5
(9/5)p = 9/5
So p = 1

Therefore s = 4/5

k = (7/5)(4/5) = 28/25 = 112/100 = 1.12

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