Problem Solving

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

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

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.

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

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

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

50% soln costs 25cents per litre
so a 33% soln costs 16.6cents per litre

There are 3 litres, so 3x16.6 = 50cents

Final Answer = 50cents