Before a salary hike, the weekly salary of a worker for 40 : GMAT Problem Solving (PS)
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Before a salary hike, the weekly salary of a worker for 40

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Intern
Joined: 07 Nov 2012
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Before a salary hike, the weekly salary of a worker for 40 [#permalink]

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10 Nov 2012, 13:04
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25% (medium)

Question Stats:

77% (02:49) correct 23% (01:46) wrong based on 290 sessions

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Before a salary hike, the weekly salary of a worker for 40 hours in a week was as much as he is paid now for 35 hours of work in a week. What is the percent increase in his salary for an hour?

A. 11 1/3
B. 12 1/4
C. 13 1/5
D. 14 2/7
E. 15
[Reveal] Spoiler: OA
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Re: Before a salary hike, the weekly salary of a worker for 40 [#permalink]

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10 Nov 2012, 18:00
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derekgmat wrote:
Before a salary hike, the weekly salary of a worker for 40 hours in a week was as much as he is paid now for 35 hours of work in a week. What is the percent increase in his salary for an hour?

A. 11 1/3
B. 12 1/4
C. 13 1/5
D. 14 2/7
E. 15

Say the worker used to get $40 for 40 hrs i.e.$1 per hr.
Now he gets $40 for 35 hrs i.e. 40/35 =$8/7 per hr

Hike is $1/7 per hr i.e. (1/7)*100 = 14 2/7 % _________________ Karishma Veritas Prep | GMAT Instructor My Blog Get started with Veritas Prep GMAT On Demand for$199

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Before a salary hike, the weekly salary of a worker for 40 [#permalink]

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22 May 2013, 01:34
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Earlier per hour salary = x, so total paid = 40x
New per hour salary = y, so total paid = 35y.
So, per information given,
40x = 35y,

$$\frac{x}{y} = \frac{7}{8}$$

Salary increase$$= \frac{8-7}{7} = \frac{1}{7}$$

Salary increase percentage$$= \frac{1}{7}*100 = 14 \frac{2}{7}$$
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Last edited by PareshGmat on 06 Aug 2014, 17:45, edited 1 time in total.
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Re: Before a salary hike, the weekly salary of a worker for 40 [#permalink]

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02 Aug 2013, 00:29
280 is multiple of both 40 and 35
so I would rather take this value as the salary.

40 hrs 280$1 hr=7$

Similarly
35 hrs 280$1 hr=8$

640$for 40hrs $$\frac{change}{original} = \frac{percent}{100}$$ $$\frac{80}{560} x 100 = \frac{100}{7}$$ D _________________ I welcome analysis on my posts and kudo +1 if helpful. It helps me to improve my craft.Thank you Manager Joined: 08 Dec 2015 Posts: 230 GMAT 1: 600 Q44 V27 Followers: 1 Kudos [?]: 13 [0], given: 34 Re: Before a salary hike, the weekly salary of a worker for 40 [#permalink] Show Tags 11 Jan 2017, 12:06 I got 40=35X so x=8/7 how can I convert this fraction to "something/100" fraction? The denominator is not a factor of 100. Can I multiply 8/7*100 then divide by 7 to get 114.28?.. so the increase was 14.something percent. I couldn't see that the increase was actually the 1/7th on top of the 7/7th. Is the above method valid to transform fractions with an inconvenient denominator into A/100? (say the denominator was 4, I would simply multiply both den and num by 25 and get a clean /100 fraction) Do I make my doubt clear?.. Thank you! Veritas Prep GMAT Instructor Joined: 16 Oct 2010 Posts: 7119 Location: Pune, India Followers: 2131 Kudos [?]: 13630 [0], given: 222 Re: Before a salary hike, the weekly salary of a worker for 40 [#permalink] Show Tags 12 Jan 2017, 00:12 Expert's post 1 This post was BOOKMARKED iliavko wrote: I got 40=35X so x=8/7 how can I convert this fraction to "something/100" fraction? The denominator is not a factor of 100. Can I multiply 8/7*100 then divide by 7 to get 114.28?.. so the increase was 14.something percent. I couldn't see that the increase was actually the 1/7th on top of the 7/7th. Is the above method valid to transform fractions with an inconvenient denominator into A/100? (say the denominator was 4, I would simply multiply both den and num by 25 and get a clean /100 fraction) Do I make my doubt clear?.. Thank you! Here lies your problem: https://www.veritasprep.com/blog/2011/0 ... rcentages/ Note that 8/7 = 1 + 1/7 (can be done for all fractions greater than 1) 1/7 = 14.28% so 8/7 implies an extra 14.28%. _________________ Karishma Veritas Prep | GMAT Instructor My Blog Get started with Veritas Prep GMAT On Demand for$199

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Re: Before a salary hike, the weekly salary of a worker for 40   [#permalink] 12 Jan 2017, 00:12
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