stoolfi
Wonder_gmat:
I don't know if I have you banging your head against the wall yet, but I as read your rephrasing:In city X, 64% of the population is employed. If 48% of the total male population is employed, what % of the total female population is employed? I am still hapless.
My conclusion is that the female population must be employed at a rate greater than 64%. Since the male population is less employed (as a percentage) than the total population, then the female population must be more employed (as a percentage) than the total population.
Ok. Here's how I did it, let me know if it makes sense to you.
We know that 48% of the total males are employed, so now have to find the percentage that contributes to 64% employed. That is
ratio of employed to total males.
Ratio = 48/100
Find the percentage that this ratio contributes towards total employement.
We get,
64% * Ratio = 64% * 48/100 = 30.72% ..... this is towards the 64% employed
% Total Employed = % Employed Male + % Employed Female
64 = 30.72 + % EF
% EF = 64 - 30.72
% EF = 33.28
And you can round it up or down. I rounded up because I didn't know the exact decimal values because didn't have paper-pen/calculator. I figured it'd be somewhere around 33.5 so might as well round it up.