proportion water spirit

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stormgal: Newbie | Next Rank: 10 Posts; Posts: 8; Joined: Thu Jun 04, 2009 8:36 am

proportion water spirit

by stormgal » Mon May 24, 2010 5:53 pm

A spirit and water solution is sold in a market. The cost per liter of the solution is directly proportional to the part (fraction) of the spirit (by the volume) the solution has. A solution of 1 liter of spirit and 1 liter of water costs 50 cents. How many cents does a solution of 1 liter of spirit and 2 liters of water cost?

OA will be posted after walkthru

Last edited by stormgal on Tue May 25, 2010 6:39 pm, edited 1 time in total.

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Source: Beat The GMAT — Problem Solving | Mon May 24, 2010 5:53 pm

liferocks: Legendary Member; Posts: 576; Joined: Sat Mar 13, 2010 8:31 pm; Thanked: 97 times; Followed by:1 members

by liferocks » Mon May 24, 2010 5:57 pm

I think some information is missing.Can you please check the question once and confirm?

"If you don't know where you are going, any road will get you there."
Lewis Carroll

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Patrick_GMATFix: GMAT Instructor; Posts: 1052; Joined: Fri May 21, 2010 1:30 am; Thanked: 335 times; Followed by:98 members

by Patrick_GMATFix » Mon May 24, 2010 5:58 pm

Plz post source so that ppl who only want to do certain questions will know whether to attempt this one (for example, some ppl only want to do official Qs and others don't want to do any GMATPrep except on their practice tests).

This is not written like a GMAT question so I'm guessing it's not from a GMAC source.

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stormgal: Newbie | Next Rank: 10 Posts; Posts: 8; Joined: Thu Jun 04, 2009 8:36 am

by stormgal » Tue May 25, 2010 6:40 pm

Ok, I apologize for that. I had posted this question from my android phone lol. The question is from the Nova book.

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liferocks: Legendary Member; Posts: 576; Joined: Sat Mar 13, 2010 8:31 pm; Thanked: 97 times; Followed by:1 members

by liferocks » Tue May 25, 2010 8:53 pm

cost of solution C=k*s where k is constant ans s is fraction of spirit by volume
Also

50=k*1/2 or k=100

so cost of a solution of 1 liter of spirit and 2 liters of water=k*1/3=100/3=33.33

Ans 33.33cents

"If you don't know where you are going, any road will get you there."
Lewis Carroll

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frank1: Legendary Member; Posts: 537; Joined: Fri Jan 22, 2010 10:06 pm; Thanked: 14 times; Followed by:1 members

by frank1 » Wed May 26, 2010 3:13 am

stormgal wrote: The cost per liter of the solution is directly proportional to the part (fraction) of the spirit (by the volume) the solution has.

initially i fell into trap here
i though, the proportion of the spirit olny determines to cost,what ever may be the portion of water...
if it was so it would not be a GMAT question....lol

any way words has been constructed in that manner