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Ian is paid an hourly wage, totaling $400 for h hours of work in a wee [#permalink]
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21 Jan 2015, 01:23
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Re: Ian is paid an hourly wage, totaling $400 for h hours of work in a wee [#permalink]
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21 Jan 2015, 06:30



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Re: Ian is paid an hourly wage, totaling $400 for h hours of work in a wee [#permalink]
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21 Jan 2015, 10:20
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This post received KUDOS
let No of hours ian worked = h and wage per hour = w
there fore w*h = 400
if he decides to work 25% fewer hours = 0.75 * h and 25% more age is paid = 1.25 * w
therefore 1.25*w*0.75*h = 1.25*0.75*400 = 375
ans  B



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Re: Ian is paid an hourly wage, totaling $400 for h hours of work in a wee [#permalink]
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21 Jan 2015, 10:40
Let the hourly wage be W
So, W * h = 400 or, W= 400 / h  first equation
Now applying the given increase/decrease conditions on the variables.
Hourly wage increased by 25% . So from first equation
W = 400/h + 25 * 400 /100h = 500/h second equation
No of working hours decreased by 25%
h = h  h*25/100 = 3h/4  third equation
Total wage for the week according to new conditions = 500 * 3h / 4h multiplying second and third equation
= $375
Ans B



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Re: Ian is paid an hourly wage, totaling $400 for h hours of work in a wee [#permalink]
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21 Jan 2015, 11:23
Let Pay/hr = p..
hp = 400...
Now 0.75h*1.25p = 0.75*1.25*hp = 0.75*1.25*400 = 375 = B



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Re: Ian is paid an hourly wage, totaling $400 for h hours of work in a wee [#permalink]
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21 Jan 2015, 13:57
Hi All, Questions such as this one can be approached in a variety of different ways  you can TEST VALUES, do the "math" in lots of different ways, and even use some patternmatching along with the answer choices to quickly get to the correct answer.... We're told that Ian is paid $400 for H hours of work. So we can create the following equation.... 400 = (H)(P) H = # of hours worked P = pay/hour We're asked what Ian's pay would be if his pay increases by 25% and his hours decrease by 25%. This info can be written as decimals or fractions....Here's how the "new" equation will look.... 25% increase = 5/4 25% decrease = 3/4 (5/4)P(3/4)(H) (5/4)(3/4)HP = (15/16)(HP) 15/16HP is a little less than 1HP (= $400), so we're looking for an answer that's a little less than $400. There's only one answer that's close... Final Answer: GMAT assassins aren't born, they're made, Rich
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Re: Ian is paid an hourly wage, totaling $400 for h hours of work in a wee [#permalink]
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21 Jan 2015, 21:53
Bunuel wrote: Ian is paid an hourly wage, totaling $400 for h hours of work in a week, where h >0. If Ian's hourly wage increases by 25% and Ian decides to work 25% fewer hours each week, how much will Ian be paid in a week?
A. $200 B. $375 C. $400 D. $425 E. $600
Kudos for a correct solution. Total wager = h hours * wages per hour (w). h*w = 400. In given condition we are asked (1.25w)*(0.75) = 1.25*0.75*400 = 375 dollars. Answer B.



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Re: Ian is paid an hourly wage, totaling $400 for h hours of work in a wee [#permalink]
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21 Jan 2015, 23:52
Answer = B. $375 Number of Hours.................... Per hour cost .................... Total h ................................................. \(\frac{400}{h}\) ......................... 400 \(h * \frac{75}{100}\) .................................. \(\frac{400}{h} * \frac{125}{100}\) ............... (Hours decreased by 25%; wage increased by 25%) \(Total = h * \frac{75}{100} * \frac{400}{h} * \frac{125}{100} = 375\)
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Re: Ian is paid an hourly wage, totaling $400 for h hours of work in a wee [#permalink]
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20 Jun 2017, 18:11
Hourly wage \(= \frac{400}{h}\)
Increase in hourly wage is\(\frac{5}{4} *\frac{400}{h} = \frac{500}{h}\)
Decrease in hours worked is\(\frac{3h}{4} * \frac{500}{h} = 375\)



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Re: Ian is paid an hourly wage, totaling $400 for h hours of work in a wee [#permalink]
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20 Nov 2017, 20:24
Bunuel wrote: Ian is paid an hourly wage, totaling $400 for h hours of work in a week, where h >0. If Ian's hourly wage increases by 25% and Ian decides to work 25% fewer hours each week, how much will Ian be paid in a week?
A. $200 B. $375 C. $400 D. $425 E. $600
Kudos for a correct solution. (400/h)(5/4)(3h/4) = 375 thanks



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Ian is paid an hourly wage, totaling $400 for h hours of work in a wee [#permalink]
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21 Nov 2017, 15:27
Bunuel wrote: Ian is paid an hourly wage, totaling $400 for h hours of work in a week, where h >0. If Ian's hourly wage increases by 25% and Ian decides to work 25% fewer hours each week, how much will Ian be paid in a week?
A. $200 B. $375 C. $400 D. $425 E. $600
Kudos for a correct solution. Pick smart numbers. Ian makes $400 a week $400 = ( h hours worked)*(wage per hour) Let h = 40 Let wages = $10 per hour He decreases hours worked by 25 percent: \(40 * \frac{3}{4} = 30\) Wage per hour increases 25 percent: \($10 * 1.25 = $12.50\) How much is he paid in a week now? \((30)($12.50) = (15)($25) = $375\)Answer B
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Re: Ian is paid an hourly wage, totaling $400 for h hours of work in a wee [#permalink]
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27 Nov 2017, 10:53
Bunuel wrote: Ian is paid an hourly wage, totaling $400 for h hours of work in a week, where h >0. If Ian's hourly wage increases by 25% and Ian decides to work 25% fewer hours each week, how much will Ian be paid in a week?
A. $200 B. $375 C. $400 D. $425 E. $600 We can let the original number of hours worked = h and the original wage = w and we have: wh = 400 After the 25% increase in wages and 25% decrease in number of hours, we have: 1.25w x 0.75h = 1.25 x 0.75 x wh = 5/4 x 3/4 x 400 = 5/4 x 300 = $375 Answer: B
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Re: Ian is paid an hourly wage, totaling $400 for h hours of work in a wee
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