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# Challenge Problem

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Manager
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Challenge Problem [#permalink]  19 Aug 2007, 12:32
Please explain the problem in the attachment. I'm not seeing the math. Thank you.
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VP
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Re: Challenge Problem [#permalink]  19 Aug 2007, 12:44
govinam wrote:
Please explain the problem in the attachment. I'm not seeing the math. Thank you.

I got D.
First glance it is A for me, but after working on it, it turns D.
Set:
a = Last year price for model A
b = last year price for model B
This year price for model A = 1.15a
This year price for model B = 0.75b
Want to know if:
1.15a > 0.75b ?

(1) b = 1.1a, plug this in the equation, you get
1.15a > 0.75*1.1a
This is always true. SUFFICIENT.

(2) a = b + 10
Plug this back in, you get
1.15*(b+10) > 0.75b
1.15b + 11.5 > 0.75b
This is always true as well.
SUFFICIENT.
Manager
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[#permalink]  19 Aug 2007, 13:15
thats right. looks more obvious now. thanks.
GMAT Instructor
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[#permalink]  19 Aug 2007, 13:18
Note that in a real question, (1) is always consistent with (2) !
VP
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[#permalink]  19 Aug 2007, 13:19
kevincan wrote:
Note that in a real question, (1) is always consistent with (2) !

Don't understand what you said, can you explain? Thanx.
[#permalink] 19 Aug 2007, 13:19
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# Challenge Problem

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