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MGMAT-equal pay for equal work

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MGMAT-equal pay for equal work

by alivapriyada » Tue Sep 14, 2010 12:22 pm
Alan's regular hourly wage is 1.5 times Barney's regular hourly wage, but Barney gets paid at twice his regular wage for any hours he works on Saturday. Both men work an integer number of hours on any given day. If Alan and Barney each worked for the same total non-zero number of hours last week, and earned the same total in wages, which of the following must be true?

I. Alan worked fewer hours Monday through Friday than did Barney.
II. Barney worked at least one hour on Saturday.
III. Barney made more money on Saturday than did Alan.


I only

II only

I and II only

I and III only

II and III only
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by goyalsau » Tue Sep 14, 2010 12:49 pm
alivapriyada wrote:Alan's regular hourly wage is 1.5 times Barney's regular hourly wage, but Barney gets paid at twice his regular wage for any hours he works on Saturday. Both men work an integer number of hours on any given day. If Alan and Barney each worked for the same total non-zero number of hours last week, and earned the same total in wages, which of the following must be true?

I. Alan worked fewer hours Monday through Friday than did Barney.
II. Barney worked at least one hour on Saturday.
III. Barney made more money on Saturday than did Alan.


I only

II only

I and II only

I and III only

II and III only
I think answer should be II only,

I will try to explain in my words but before that if you please confirm that, then it will be much better.
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by alivapriyada » Tue Sep 14, 2010 1:01 pm
@Saurabh

Plz explain...
yes the answer is II only(B) and FYI this is a 600-700 level question.
Thnx in advance
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by goyalsau » Tue Sep 14, 2010 1:10 pm
alivapriyada wrote:@Saurabh

Plz explain...
yes the answer is II only(B) and FYI this is a 600-700 level question.
Thnx in advance
Well that will be very difficult task, but i will definitely give it a try,
and my apologies for all my grammar mistakes in advance.....haha.

First we assume that Brun or i would say B charge x$ per hours ( American )
and A charge 1.5x per hour
on saturdaty's B charge 2x per hour

as their working hours and total paid amount is same,
so lets say they work for 3 hours, LCM of 1.5 and 2
and in each gets 3x Dollars

now A works for 2 hours
3x/1.5x = 2 hours

and B works for y hours at 1 hour at x rate and 1 hour for 2x rate, because hours are in integer and than is the only combination by which B gets 3x, or by if you wana go by equation,
then B works for z hours at x rate and w hour for 2x rate and in total receives 3x dollars
equation will be xz+2xw=3x ( z is work in monday to friday and w is the work in saturday )

now by solving,, we get the desired answer,

I hope that helps....
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by alivapriyada » Tue Sep 14, 2010 1:15 pm
@Saurabh..
Many thanks
cant resist to hit the "thanks" button
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