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Junior | Next Rank: 30 Posts
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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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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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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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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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