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Before a salary hike, the weekly salary of a worker for 40

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Before a salary hike, the weekly salary of a worker for 40 [#permalink] New post 10 Nov 2012, 13:04
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75% (02:44) correct 25% (01:52) wrong based on 162 sessions
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
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Re: Before a salary hike, the weekly salary of a worker for 40 [#permalink] New post 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 %
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Before a salary hike, the weekly salary of a worker for 40 [#permalink] New post 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\(= \frac{1}{7}*100 = 14 \frac{2}{7}\)
(Answer = D)
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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] New post 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$

Now 8-7=1$ increase in salary per hour now to calculate %
1/7*100=14 2/7

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Re: Before a salary hike, the weekly salary of a worker for 40 [#permalink] New post 25 Sep 2013, 02:08
Suppose Per hour paid=x dollars,
So total paid 40x and 35x dollars
Now percent increase=(40x-35x)/35x=(5x/35x)*100=100/7=14.28...So D is the ans.
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Re: Before a salary hike, the weekly salary of a worker for 40 [#permalink] New post 28 Nov 2014, 14:55
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Re: Before a salary hike, the weekly salary of a worker for 40   [#permalink] 28 Nov 2014, 14:55
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