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21 Mar 2018, 05:16
1
1
00:00

Difficulty:

35% (medium)

Question Stats:

84% (01:50) correct 16% (02:04) wrong based on 35 sessions

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If Hollis’s gross hourly pay is increased by $2 per hour, how many fewer hours per week could Hollis work to earn the same gross weekly pay that she currently receives for working 40 hours per week? (1) A pay increase of$2 per hour will result in a new gross hourly pay that is 10/9 of Hollis’s current gross hourly pay.
(2) Hollis’s current gross weekly pay is $720 _________________ Current Student Joined: 07 Jan 2016 Posts: 1088 Location: India GMAT 1: 710 Q49 V36 Re: If Hollis’s gross hourly pay is increased by$2 per hour, how many few  [#permalink]

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21 Mar 2018, 05:53
Bunuel wrote:
If Hollis’s gross hourly pay is increased by $2 per hour, how many fewer hours per week could Hollis work to earn the same gross weekly pay that she currently receives for working 40 hours per week? (1) A pay increase of$2 per hour will result in a new gross hourly pay that is 10/9 of Hollis’s current gross hourly pay.
(2) Hollis’s current gross weekly pay is $720 A) 10% decrease in hours upon solving but a value is asked so not sufficient b) 40 hrs 720$ 1hr 18
new value 20
new hours 36

(B) imo
SVP
Joined: 26 Mar 2013
Posts: 2345
Re: If Hollis’s gross hourly pay is increased by $2 per hour, how many few [#permalink] ### Show Tags 21 Mar 2018, 06:09 Hatakekakashi wrote: Bunuel wrote: If Hollis’s gross hourly pay is increased by$2 per hour, how many fewer hours per week could Hollis work to earn the same gross weekly pay that she currently receives for working 40 hours per week?

(1) A pay increase of $2 per hour will result in a new gross hourly pay that is 10/9 of Hollis’s current gross hourly pay. (2) Hollis’s current gross weekly pay is$720

A) 10% decrease in hours upon solving but a value is asked so not sufficient

b) 40 hrs 720$1hr 18 new value 20 new hours 36 (B) imo Hi Hatakekakashi In Statement 1: is not$2 represents 1/9 of the current hourly pay....which means current hourly pay = $18 ...the same as statement 2?? Current Student Joined: 07 Jan 2016 Posts: 1088 Location: India GMAT 1: 710 Q49 V36 Re: If Hollis’s gross hourly pay is increased by$2 per hour, how many few  [#permalink]

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21 Mar 2018, 06:13
Mo2men wrote:
Hatakekakashi wrote:
Bunuel wrote:
If Hollis’s gross hourly pay is increased by $2 per hour, how many fewer hours per week could Hollis work to earn the same gross weekly pay that she currently receives for working 40 hours per week? (1) A pay increase of$2 per hour will result in a new gross hourly pay that is 10/9 of Hollis’s current gross hourly pay.
(2) Hollis’s current gross weekly pay is $720 A) 10% decrease in hours upon solving but a value is asked so not sufficient b) 40 hrs 720$ 1hr 18
new value 20
new hours 36

(B) imo

Hi Hatakekakashi

In Statement 1: is not $2 represents 1/9 of the current hourly pay....which means current hourly pay =$18 ...the same as statement 2??

no do not use information from statement 2

both are different

you know 40 hrs gives 720$ie 18 per hour only after using statement 2 SVP Joined: 26 Mar 2013 Posts: 2345 If Hollis’s gross hourly pay is increased by$2 per hour, how many few  [#permalink]

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21 Mar 2018, 07:23
1
Hatakekakashi wrote:
no do not use information from statement 2

both are different

you know 40 hrs gives 720$ie 18 per hour only after using statement 2 No I did not use statement 2 in my analysis (1) A pay increase of$2 per hour will result in a new gross hourly pay that is 10/9 of Hollis’s current gross hourly pay.

Let current hourly pay = x & new hourly pay =10/9 x

2 =10/9 x - x = 1/9 x

Then x = 18 and new pay =20

Total current 18 * 40 = $720 New hours worked under$20 = 720/20 = 36

Hence it will work 4 hours fewer than current pay

Statement 1 is Sufficient
Manager
Joined: 22 May 2017
Posts: 118

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21 Mar 2018, 11:57
Bunuel wrote:
If Hollis’s gross hourly pay is increased by $2 per hour, how many fewer hours per week could Hollis work to earn the same gross weekly pay that she currently receives for working 40 hours per week? (1) A pay increase of$2 per hour will result in a new gross hourly pay that is 10/9 of Hollis’s current gross hourly pay.
(2) Hollis’s current gross weekly pay is $720 Let original gross hourly pay be $$x$$ and post increase Hollis worked for $$t$$ hours. So we have $$(x+2)*t=40x------(1)$$, to know the value of $$t$$ we need the value of $$x$$ Statement 1: implies $$(x+2)=\frac{10}{9}x$$. Sufficient to calculate the value of $$x$$. for the sake of calculation we will get $$x=18$$. substitute the value of $$x$$ in equation (1) to get $$t=36$$. Hence Hollies can work for $$40-36=4$$ fewer hours Statement 2: implies $$40x=720 => x=18$$. Same as Statement 1. Sufficient Option D Manager Joined: 01 Feb 2017 Posts: 243 Re: If Hollis’s gross hourly pay is increased by$2 per hour, how many few  [#permalink]

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27 Mar 2018, 03:19
Original rate= r
Original weekly work hrs: 40
Original weekly wages: 40r

New rate= r+2
New hrs to retain same wage: 40-x
New weekly wages: (r+2)(40-x)

ATS, 40r=(r+2)(40-x)

So, to calculate x, we need value of r.

St.1: Sufficient.
(r+2)=10r/9

St.2: Sufficient
40r=720

Ans D

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