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21 Jan 2015, 02:23
2
1
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Difficulty:

15% (low)

Question Stats:

87% (01:23) correct 13% (01:41) wrong based on 285 sessions

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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.

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21 Jan 2015, 11:20
1
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] ### Show Tags 21 Jan 2015, 11:40 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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21 Jan 2015, 14:57
1
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 pattern-matching 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 _________________ 760+: Learn What GMAT Assassins Do to Score at the Highest Levels Contact Rich at: Rich.C@empowergmat.com # Rich Cohen Co-Founder & GMAT Assassin Special Offer: Save$75 + GMAT Club Tests Free
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Re: Ian is paid an hourly wage, totaling $400 for h hours of work in a wee [#permalink] ### Show Tags 21 Jan 2015, 22:53 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. SVP Status: The Best Or Nothing Joined: 27 Dec 2012 Posts: 1837 Location: India Concentration: General Management, Technology WE: Information Technology (Computer Software) Re: Ian is paid an hourly wage, totaling$400 for h hours of work in a wee [#permalink]

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22 Jan 2015, 00:52
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%) $$Total = h * \frac{75}{100} * \frac{400}{h} * \frac{125}{100} = 375$$ _________________ Kindly press "+1 Kudos" to appreciate Manager Joined: 04 Jan 2016 Posts: 167 Location: United States (NY) GMAT 1: 620 Q44 V32 GMAT 2: 600 Q48 V25 GMAT 3: 660 Q42 V39 GPA: 3.48 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, 19:11
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] ### Show Tags 20 Nov 2017, 21:24 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 SC Moderator Joined: 22 May 2016 Posts: 1765 Ian is paid an hourly wage, totaling$400 for h hours of work in a wee [#permalink]

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21 Nov 2017, 16:27
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 _________________ In the depths of winter, I finally learned that within me there lay an invincible summer. -- Albert Camus, "Return to Tipasa" Target Test Prep Representative Status: Head GMAT Instructor Affiliations: Target Test Prep Joined: 04 Mar 2011 Posts: 2570 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, 11:53
2
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 _________________ Jeffery Miller Head of GMAT Instruction GMAT Quant Self-Study Course 500+ lessons 3000+ practice problems 800+ HD solutions Intern Joined: 07 May 2017 Posts: 23 Re: Ian is paid an hourly wage, totaling$400 for h hours of work in a wee [#permalink]

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20 May 2018, 00:44
1
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.

SOLUTION:

(400/H)*1.25*0.75H = 375

ANS: B
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