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

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10 Nov 2012, 14:04

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A

B

C

D

E

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25% (medium)

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76% (02:50) correct
24% (01:48) wrong based on 305 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?

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 %
_________________

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

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25 Sep 2013, 03:08

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]

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28 Nov 2014, 15:55

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

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22 Nov 2015, 11:30

i solved as above said: 1/7 is between 1/6 and 1/8 which means the increase is 12.5% < x < 16% we can eliminate A and B right away. since we have 7 as denominator, and since we need to find 100/7, we clearly see that 100 is not divisible by 7, and thus the answer choice should be a number with a denominator 7.

only D has such, and it falls between the given spread of increase.

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

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13 Nov 2016, 10:36

Answer:D To make the question easier, we can select the easy numbers: Weekly salary is 40 hrs x $35/hr = 35 hrs x $40/hr ⇒ an increase from $35 to $40 ⇒ %increase=(40-35)/35=5/35=1/7=0.142 or 14 2/7 %

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

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13 Nov 2016, 11:35

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

Old Salary ( For 40 Hrs ) = New Salary ( For 35 Hrs ) = 280

So, Old Salary/ Hour = 7 and New Salary/Hour = 8

So, Percentage Increase is 1/7*100 => \(14 \frac{2}{7}\)

Hence, Correct answer must be (D) \(14 \frac{2}{7}\) _________________

Thanks and Regards

Abhishek....

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

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11 Jan 2017, 13:06

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?..

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?..

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