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# At a certain company, each employee has a salary grade s

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VP
Joined: 21 Mar 2006
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At a certain company, each employee has a salary grade s [#permalink]  07 Jan 2007, 02:05
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At a certain company, each employee has a salary grade s that is at least 1 and at most 5. Each employee receives an hourly wage p, in dollars, determined by the formula p = 9.50 + 0.25(s â€“ 1). An employee with a salary grade of 5 receives how many more dollars per hour than an employee with a salary grade of 1?
A. \$0.50
B. \$1.00
C. \$1.25
D. \$1.50
E. \$1.75

I know it seems a pretty simple problem. However, my answer did not tally with the OA. Just checking to see if the OA is wrong.
Senior Manager
Joined: 23 Jun 2006
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[#permalink]  07 Jan 2007, 03:49
i'll take my chances .....

answer is 1\$ (B)
Manager
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[#permalink]  07 Jan 2007, 15:45
P(5)=9.5+.25(5-1)=10.5\$
P(1)=9.5\$
P(5)-P(1)= 1\$
Senior Manager
Joined: 23 Jun 2006
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[#permalink]  07 Jan 2007, 16:13
funny.... there seem to be a slight difference in how some people here solved this question and how i did it.
in such a simple question this difference doesn't have any effect. answers are correct and both approaches seem to be fast enough.

i just want to raise this issue so we can discuss (again there is no right and wrong here):
what most people seem to do is to compute p(5) and p(1) and substract.

what i did is slightly different. i looked at the formula: 9.5 +0.25(s-1)
the only thing that changes when s changes is the 0.25s term, all the other terms remain the same - hence contribute nothing to the difference.
so all i did was to compute the difference between 0.25*5 and 0.25*1 which is 0.25*4=1

not big deal, but once i recognized it i could do everything in my head.. in fact after recognizing it the only arithmetic need to be done is 0.25*(5-1) which is fast and easy.

i think there are many ways in which simple arithmetics can be simplified even before we start to compute results. doing these simple transformations and having those little "smart shortcuts" may help doing questions faster and with less mistakes (if you really know what you are doing)....

this advice mainly goes to the upper tier scorers who find themselves spending too much time on questions.... noticing these shortcuts can save you time. the reason it is best used by upper tier scorers is that you need to be confident in the short cut you make. if you are not 100% confident - don't do it... take the safe, longer way... spend 15 seconds more... and get it right.
Manager
Joined: 03 Dec 2006
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[#permalink]  08 Jan 2007, 07:09
A good point hobbit.

Thanks for raising it.
VP
Joined: 21 Mar 2006
Posts: 1135
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Kudos [?]: 27 [0], given: 0

[#permalink]  09 Jan 2007, 00:52
Thanks for all the responses guys. Even I got the same answer: B. but the OA said C (\$1.25) So just wanted to check! Gotta watch out for those faulty OAs
[#permalink] 09 Jan 2007, 00:52
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# At a certain company, each employee has a salary grade s

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