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Peder currently works 40 hours a week. If his hourly wage we

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Peder currently works 40 hours a week. If his hourly wage we [#permalink] New post 27 Aug 2013, 01:27
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Peder currently works 40 hours a week. If his hourly wage went up by $3, how many fewer hours could he work and still earn the same weekly income as he did before the increase?

(1) His weekly income is currently $600.
(2) The increase of $3 is a 20 percent increase over his currently hourly wage.
[Reveal] Spoiler: OA

Last edited by guerrero25 on 27 Aug 2013, 01:51, edited 1 time in total.
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Re: Peder currently works 40 hours a week. [#permalink] New post 27 Aug 2013, 01:42
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guerrero25 wrote:
Peder currently works 40 hours a week. If his hourly wage went up by $3, how many fewer hours could he work and still earn the same weekly income as he did before the increase?

A)His weekly income is currently $600.
B)The increase of $3 is a 20 percent increase over his currently hourly wage.


The answer is D

A: If his weekly income is $600, that means you can calculate wage per hour. By working 40 hours in a week, it means his hourly wage is 600/40 = $15/hour. Now if the hourly wages rose by $3 to $18, it means that he would have to work for 600/18 = 33 hours 20 mins to earn the same wage as he earned in the previous week.

So A is sufficient.

B: If the increase of $3 is 20% rise over his currently hourly wage, you can calculate the current wage. What value will give you $3 as 20% rise? Yes (100/20) * 3 = $15. Since you can calculate the current total wages earned for the week, you can therefore calculate how many hours he will work if the wage rises by $3 in order to earn the same figure.

So B is also sufficient.

The answer is D.

(In Bunuel's voice) Hope it is clear.
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Re: Peder currently works 40 hours a week. If his hourly wage we [#permalink] New post 27 Aug 2013, 13:58
guerrero25 wrote:
Peder currently works 40 hours a week. If his hourly wage went up by $3, how many fewer hours could he work and still earn the same weekly income as he did before the increase?

(1) His weekly income is currently $600.
(2) The increase of $3 is a 20 percent increase over his currently hourly wage.


Name x = peter's wage/hour ==> total wage /week = 40x
Name y = peter's new wage/hour ==> total wage /week = (x+3)y
==> (x +3)y = 40y

(1) His weekly income is currently $600.
==> 40x = 600 ==> x =15 ==> can figure out y
==> (1) is suff

(2) The increase of $3 is a 20 percent increase over his currently hourly wage.
==> 3 = 0.2x ==> x = 15 ==> can figure out y
==> (2) is suff

==> D is answer.
Note: to save time, do not need to calculate what is y.

Hope it helps.
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Re: Peder currently works 40 hours a week. If his hourly wage we   [#permalink] 27 Aug 2013, 13:58
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