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Caas
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Before a salary hike, weekly salary for 40 hours of work in 30 May 2007, 11:20
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Before a salary hike, weekly salary for 40 hours of work in a week was as much as now for 35 hours of work in a week. What is the % increase in the salary for an hour?



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KillerSquirrel
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Before a salary hike, weekly salary for 40 hours of work in 30 May 2007, 11:32
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35/40 = 7/8 = 7*8 = 56, so plug in 56 as salary per hour before the raise and x after the raise:

40*56 = 35*x

2240/35 = x

x = 64

raise = 64-56 = 8

the raise in % = 8/56 = ~ 14%
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Before a salary hike, weekly salary for 40 hours of work in 30 May 2007, 11:34
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Caas
Before a salary hike, weekly salary for 40 hours of work in a week was as much as now for 35 hours of work in a week. What is the % increase in the salary for an hour?
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Let's assume salary = 40*35 = 1,400

Before hike:
40hours*$35 = 1400

After hike:
35hours*$40 = 1400

% increase = (40-35)/35 = 5/35 = 1/7 = 14.29%
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Before a salary hike, weekly salary for 40 hours of work in 30 May 2007, 11:37
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Hey Squirrel,

Thank you :)
I guess this would also be right 40/35=1,14
So 14 %
But I don't have a full understanding of this operation.
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Before a salary hike, weekly salary for 40 hours of work in 30 May 2007, 11:38
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Caas
Before a salary hike, weekly salary for 40 hours of work in a week was as much as now for 35 hours of work in a week. What is the % increase in the salary for an hour?

Let's assume salary = 40*35 = 1,400

Before hike:
40hours*$35 = 1400

After hike:
35hours*$40 = 1400

% increase = (40-35)/35 = 5/35 = 1/7 = 14.29%
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Good thinking ! 40$, 35$ nice tradeoff

:-D
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Before a salary hike, weekly salary for 40 hours of work in 30 May 2007, 11:45
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Caas
Hey Squirrel,

Thank you :)
I guess this would also be right 40/35=1,14
So 14 %
But I don't have a full understanding of this operation.
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hello cass , can you please explain the bold part ?

:-D
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Caas
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Before a salary hike, weekly salary for 40 hours of work in 30 May 2007, 11:56
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I mean if we divide 40 by 35 we'll get 114 2/7
So the increase will be about 14%
But fisrt I couldn't understand why we have to divide hours by hours.
But now, after I saw your posts, I see why.
We assume $1 as a current payment per 1 hour.
So weekly salary currently is 40, but earlier it was 35 for a week.
So (40/35)*100%=114% :)
Thanks.
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vidyasagar
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Before a salary hike, weekly salary for 40 hours of work in 30 May 2007, 11:56
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Product constancy rule

For a1*b1= a2*b2 to be constant, their is a fixed percentage change in b1 for every corresponding % change in a1. As in the problem in hand, weekly salary is constant (hr.sal * hrs)before =(hr.sal * hrs)after) and decrease in hours = (40-35)/40 = 12.5 %. As per product constancy rule, for all 12.5 % decrease there will be a corresponding increase of 14.28% in hourly salary (do check it for all the cases one comes across!). (Product constancy table can be prepared and learnt by heart for certain % changes for saving time in exam.)
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Before a salary hike, weekly salary for 40 hours of work in 30 May 2007, 13:00
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vidyasagar
Product constancy rule

For a1*b1= a2*b2 to be constant, their is a fixed percentage change in b1 for every corresponding % change in a1. As in the problem in hand, weekly salary is constant (hr.sal * hrs)before =(hr.sal * hrs)after) and decrease in hours = (40-35)/40 = 12.5 %. As per product constancy rule, for all 12.5 % decrease there will be a corresponding increase of 14.28% in hourly salary (do check it for all the cases one comes across!). (Product constancy table can be prepared and learnt by heart for certain % changes for saving time in exam.)
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can you post the "product constancy table" here ?
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baer
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Before a salary hike, weekly salary for 40 hours of work in 30 May 2007, 13:34
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since the salaries are in a ratio of 8:7 you can just do the % change calculation on 7 to 8, which is approx. 14%



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This topic has been closed and archived due to inactivity or violation of community quality standards. No more replies are possible here.
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