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If Hollis’s gross hourly pay is increased by $2 per hour, how many few

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If Hollis’s gross hourly pay is increased by $2 per hour, how many few  [#permalink]

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New post 21 Mar 2018, 05:16
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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

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Re: If Hollis’s gross hourly pay is increased by $2 per hour, how many few  [#permalink]

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New post 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
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Re: If Hollis’s gross hourly pay is increased by $2 per hour, how many few  [#permalink]

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New post 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??
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Re: If Hollis’s gross hourly pay is increased by $2 per hour, how many few  [#permalink]

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New post 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
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If Hollis’s gross hourly pay is increased by $2 per hour, how many few  [#permalink]

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New post 21 Mar 2018, 07:23
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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
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Re: If Hollis’s gross hourly pay is increased by $2 per hour, how many few  [#permalink]

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New post 21 Mar 2018, 11:23
If we assume 'x' to be current hourly pay
(x/hr)
So new hourly pay will be (x+2)/hr

As per stmnt 1

X+2= 10/9 *X
I. E X=18

HENCE I is also sufficient

So IMO D

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Re: If Hollis’s gross hourly pay is increased by $2 per hour, how many few  [#permalink]

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New post 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
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Re: If Hollis’s gross hourly pay is increased by $2 per hour, how many few  [#permalink]

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New post 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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Re: If Hollis’s gross hourly pay is increased by $2 per hour, how many few &nbs [#permalink] 27 Mar 2018, 03:19
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