Puzzle of the day :ANSWER POSTED
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I'm sure it's meant to be a serious puzzle but it still doesn't make sense to me. Faulty reasoning? :confused: http://www.cut-the-knot.org/arithmetic/Kline-Loyd.shtml[^] Perhaps Quartz could explain in his own words.:suss:
posted the answer check if that satisfies you
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Quartz... wrote:
One pays $ 180,000 per year with an annual increment raise of $ 20,000 while the other also pays the basic $ 180,000 per year with a guaranteed $5,000 raise every six months.
The first offer's 20K raise is not guaranteed?
Regards, Nish
Nish’s thoughts on MFC, C++/CLI and .NET (my blog)
Currently working on C++/CLI in Action for Manning Publications. (*Sample chapter available online*)Omit Needless Words - Strunk, William, Jr.
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Are you making a statement of some kind here? I fail to see the "puzzle" aspect of this.
have posted the solution here[^] see for yourself
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Will go for the SECOND JOB for the obvious fact that it pays more at any point of time may it be one year, two year or even more let's see Now it's clear that if one worked for up to six months then both would pay the same – ie, 90,000 in all. But if one worked for six to 12 months then the second job would pay more because from the seventh month it would pay that much extra, adding up to 95,000 for the next six months. But what about subsequently? FOR FIRST JOB (20,000 inc, annualy) First year : would pay 90,000 + 90,000 = 180,000; Second Year : it will pay 100,000 + 100,000 = 200,000; Third year : 110,000 + 110,000 = 220,000. Total = 600,000. Whereas for the SECOND JOB (5000 inc, 6 monthly) First year: It would pay 90,000 + 95,000 = 185,000; Second year: 100,000 + 105,000 = 205,000; Third year: 110,000 + 115,000 = 225,000. Total = 615,000 So what will you go for again ? Beware a lot of companies DO trick people into a scam like that. have a good day !
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Web based project trackingFirst Job : 3 years : 600, 000 - I agree. Second job, your calculations don't seem to be right.
Quartz... wrote:
First year: It would pay 90,000 + 95,000 = 185,000; Second year: 100,000 + 105,000 = 205,000; Third year: 110,000 + 115,000 = 225,000. Total = 615,000
Here's why. The 6 months hike of 5,000 is on the annual salary. So initially his base pay was 180K (90K for 6 months). After 6 months it becomes 185K (92.5K for the next 6 months). Every 6 months, his 6-monthly pay gets increased by 2,500. So here goes :- First year 90 + 92.5 = 182.5K Second year 95 + 97.5 = 192.5K Third Year 100 + 102.5 = 202.5K Total at the end of 3 years :- 575 K So I'd definitely go for Job # 1.
Regards, Nish
Nish’s thoughts on MFC, C++/CLI and .NET (my blog)
Currently working on C++/CLI in Action for Manning Publications. (*Sample chapter available online*) -
have posted the solution here[^] see for yourself
Omit Needless Words - Strunk, William, Jr.
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Web based project trackingQuartz... wrote:
have posted the solution here[^] see for yourself
I've replied to your solution, which I believe is not right. To make your solution right, the original puzzle has to be reworded.
Regards, Nish
Nish’s thoughts on MFC, C++/CLI and .NET (my blog)
Currently working on C++/CLI in Action for Manning Publications. (*Sample chapter available online*) -
First Job : 3 years : 600, 000 - I agree. Second job, your calculations don't seem to be right.
Quartz... wrote:
First year: It would pay 90,000 + 95,000 = 185,000; Second year: 100,000 + 105,000 = 205,000; Third year: 110,000 + 115,000 = 225,000. Total = 615,000
Here's why. The 6 months hike of 5,000 is on the annual salary. So initially his base pay was 180K (90K for 6 months). After 6 months it becomes 185K (92.5K for the next 6 months). Every 6 months, his 6-monthly pay gets increased by 2,500. So here goes :- First year 90 + 92.5 = 182.5K Second year 95 + 97.5 = 192.5K Third Year 100 + 102.5 = 202.5K Total at the end of 3 years :- 575 K So I'd definitely go for Job # 1.
Regards, Nish
Nish’s thoughts on MFC, C++/CLI and .NET (my blog)
Currently working on C++/CLI in Action for Manning Publications. (*Sample chapter available online*)Nishant Sivakumar wrote:
hike of 5,000 is on the annual salary
???? the question says with a guaranteed $5,000 raise every six months. why will it be on the annual salary ? as per your explaination , it needs to be $5,000 raise every 12 months, not 6 months then only you can count 2500 for 6 months -- modified at 19:52 Tuesday 16th January, 2007 -- modified at 19:53 Tuesday 16th January, 2007
Omit Needless Words - Strunk, William, Jr.
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Will go for the SECOND JOB for the obvious fact that it pays more at any point of time may it be one year, two year or even more let's see Now it's clear that if one worked for up to six months then both would pay the same – ie, 90,000 in all. But if one worked for six to 12 months then the second job would pay more because from the seventh month it would pay that much extra, adding up to 95,000 for the next six months. But what about subsequently? FOR FIRST JOB (20,000 inc, annualy) First year : would pay 90,000 + 90,000 = 180,000; Second Year : it will pay 100,000 + 100,000 = 200,000; Third year : 110,000 + 110,000 = 220,000. Total = 600,000. Whereas for the SECOND JOB (5000 inc, 6 monthly) First year: It would pay 90,000 + 95,000 = 185,000; Second year: 100,000 + 105,000 = 205,000; Third year: 110,000 + 115,000 = 225,000. Total = 615,000 So what will you go for again ? Beware a lot of companies DO trick people into a scam like that. have a good day !
Omit Needless Words - Strunk, William, Jr.
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Web based project trackingHmmm... Many people would have read it as (for the second job), that the $5000 increments were in terms of yearly salary. Therefore the calculations for each year would be: First year: It would pay 180,000 * 0.5 + 185,000 * 0.5 = 182,500; Second year: 190,000 * 0.5 + 195,000 * 0.5 = 192,500; Third year: 200,000 * 0.5 + 205,000 * 0.5 = 202,500. Total = 577,500 Just because job 2 gives a raise (assumed to be an annual salary raise) doesn't mean you get that entire $5,000 in the remaining 6 months of the year: you would only get 6 months pro rata. (I know this is how it works with my pay. I wish it was calculated your way.) :)
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Hmmm... Many people would have read it as (for the second job), that the $5000 increments were in terms of yearly salary. Therefore the calculations for each year would be: First year: It would pay 180,000 * 0.5 + 185,000 * 0.5 = 182,500; Second year: 190,000 * 0.5 + 195,000 * 0.5 = 192,500; Third year: 200,000 * 0.5 + 205,000 * 0.5 = 202,500. Total = 577,500 Just because job 2 gives a raise (assumed to be an annual salary raise) doesn't mean you get that entire $5,000 in the remaining 6 months of the year: you would only get 6 months pro rata. (I know this is how it works with my pay. I wish it was calculated your way.) :)
The question clearly states that $5000 increment every 6 months , how can you assume its not 5000, but 2500 for 6 months This is not at all a puzzle of "trick of words in the question"
Omit Needless Words - Strunk, William, Jr.
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Nishant Sivakumar wrote:
hike of 5,000 is on the annual salary
???? the question says with a guaranteed $5,000 raise every six months. why will it be on the annual salary ? as per your explaination , it needs to be $5,000 raise every 12 months, not 6 months then only you can count 2500 for 6 months -- modified at 19:52 Tuesday 16th January, 2007 -- modified at 19:53 Tuesday 16th January, 2007
Omit Needless Words - Strunk, William, Jr.
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Quartz... wrote:
have posted the solution here[^] see for yourself
I've replied to your solution, which I believe is not right. To make your solution right, the original puzzle has to be reworded.
Regards, Nish
Nish’s thoughts on MFC, C++/CLI and .NET (my blog)
Currently working on C++/CLI in Action for Manning Publications. (*Sample chapter available online*)Nishant Sivakumar wrote:
the original puzzle has to be reworded
This is definetly not a "trick of words" puzzle, the question clearly stated that the increment is 5000, every 6 months
Omit Needless Words - Strunk, William, Jr.
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Nishant Sivakumar wrote:
hike of 5,000 is on the annual salary
???? the question says with a guaranteed $5,000 raise every six months. why will it be on the annual salary ? as per your explaination , it needs to be $5,000 raise every 12 months, not 6 months then only you can count 2500 for 6 months -- modified at 19:52 Tuesday 16th January, 2007 -- modified at 19:53 Tuesday 16th January, 2007
Omit Needless Words - Strunk, William, Jr.
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Web based project trackingQuartz... wrote:
the question says with a guaranteed $5,000 raise every six months. why will it be on the annual salary ?
All figures are mentioned in annual wage terms. The 180K is the annual salary. So a 5K hike means, it's a hike on the annual salary.
Quartz... wrote:
as per your explaination , it needs to be $5,000 raise every 12 months, not 6 months then only you can count 2500 for 6 months
No. The hike is given every 6 months, but the hike is applied on the annual salary. For example if my salary is 24K annually, I get 2K per month. Say at the end of the 3rd month my pay is revised to 30K annually. That's a hike of 6K. Now my monthly pay becomes 2.5K. That's how salaries are defined. So as I said, your solution is not right - and to make it right, you'd have to change your original question.
Regards, Nish
Nish’s thoughts on MFC, C++/CLI and .NET (my blog)
Currently working on C++/CLI in Action for Manning Publications. (*Sample chapter available online*) -
Nish beat me to it. I guess the puzzle was ambiguous: I've never heard of a raise working like that. (What's it a raise on if not the annual salary?!) No matter. Kept us (semi-)entertained for a bit. Thanks Quartz. (:beer: and then bed I think.)
Wags wrote:
Nish beat me to it. I guess the puzzle was ambiguous: I've never heard of a raise working like that. (What's it a raise on if not the annual salary?!) No matter. Kept us (semi-)entertained for a bit. Thanks Quartz.
I think he worded the question wrong.
Regards, Nish
Nish’s thoughts on MFC, C++/CLI and .NET (my blog)
Currently working on C++/CLI in Action for Manning Publications. (*Sample chapter available online*) -
The question clearly states that $5000 increment every 6 months , how can you assume its not 5000, but 2500 for 6 months This is not at all a puzzle of "trick of words in the question"
Omit Needless Words - Strunk, William, Jr.
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Web based project trackingQuartz... wrote:
The question clearly states that $5000 increment every 6 months , how can you assume its not 5000, but 2500 for 6 months
$5000 increment every six months means that his annual salary is incremented by $5000. It does not mean his 6-monthly salary is incremented by $5000. The default salary is annual. So all salary hikes are also annual :-)
Regards, Nish
Nish’s thoughts on MFC, C++/CLI and .NET (my blog)
Currently working on C++/CLI in Action for Manning Publications. (*Sample chapter available online*) -
Nishant Sivakumar wrote:
the original puzzle has to be reworded
This is definetly not a "trick of words" puzzle, the question clearly stated that the increment is 5000, every 6 months
Omit Needless Words - Strunk, William, Jr.
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Web based project trackingQuartz... wrote:
This is definetly not a "trick of words" puzzle, the question clearly stated that the increment is 5000, every 6 months
Yes, and increments are always applied on the annual salary. Every six months, his annual pay is incremented by 5000.
Regards, Nish
Nish’s thoughts on MFC, C++/CLI and .NET (my blog)
Currently working on C++/CLI in Action for Manning Publications. (*Sample chapter available online*) -
I'm sure it's meant to be a serious puzzle but it still doesn't make sense to me. Faulty reasoning? :confused: http://www.cut-the-knot.org/arithmetic/Kline-Loyd.shtml[^] Perhaps Quartz could explain in his own words.:suss:
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Quartz... wrote:
the question says with a guaranteed $5,000 raise every six months. why will it be on the annual salary ?
All figures are mentioned in annual wage terms. The 180K is the annual salary. So a 5K hike means, it's a hike on the annual salary.
Quartz... wrote:
as per your explaination , it needs to be $5,000 raise every 12 months, not 6 months then only you can count 2500 for 6 months
No. The hike is given every 6 months, but the hike is applied on the annual salary. For example if my salary is 24K annually, I get 2K per month. Say at the end of the 3rd month my pay is revised to 30K annually. That's a hike of 6K. Now my monthly pay becomes 2.5K. That's how salaries are defined. So as I said, your solution is not right - and to make it right, you'd have to change your original question.
Regards, Nish
Nish’s thoughts on MFC, C++/CLI and .NET (my blog)
Currently working on C++/CLI in Action for Manning Publications. (*Sample chapter available online*)I am quite surprised by your argument. even when the question clearly says the its 5000 raise every 6 months i mean what does "EVERY 6 MONTHS" implies here you might want to look at this here[^]
Omit Needless Words - Strunk, William, Jr.
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Quartz... wrote:
The question clearly states that $5000 increment every 6 months , how can you assume its not 5000, but 2500 for 6 months
$5000 increment every six months means that his annual salary is incremented by $5000. It does not mean his 6-monthly salary is incremented by $5000. The default salary is annual. So all salary hikes are also annual :-)
Regards, Nish
Nish’s thoughts on MFC, C++/CLI and .NET (my blog)
Currently working on C++/CLI in Action for Manning Publications. (*Sample chapter available online*)How is that possible, $5000 increment every six months when you are "ACTUALLY" adding only 2500 every 6 months :)
Omit Needless Words - Strunk, William, Jr.
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Nish beat me to it. I guess the puzzle was ambiguous: I've never heard of a raise working like that. (What's it a raise on if not the annual salary?!) No matter. Kept us (semi-)entertained for a bit. Thanks Quartz. (:beer: and then bed I think.)
Wags wrote:
I guess the puzzle was ambiguous
This is a classic puzzle "In Mathematical Puzzles of Sam Loyd (M. Gardner, Dover, 1959) " before anyone of us were even born Clickety[^]
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How is that possible, $5000 increment every six months when you are "ACTUALLY" adding only 2500 every 6 months :)
Omit Needless Words - Strunk, William, Jr.
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Web based project trackingQuartz... wrote:
$5000 increment every six months
I think you and I can argue on this forever, and still disagree. To me, the above statement means that every 6 months, my salary will be hiked by $5000. And my salary is in annual terms (that's standard the world over).
Regards, Nish
Nish’s thoughts on MFC, C++/CLI and .NET (my blog)
Currently working on C++/CLI in Action for Manning Publications. (*Sample chapter available online*) -
I am quite surprised by your argument. even when the question clearly says the its 5000 raise every 6 months i mean what does "EVERY 6 MONTHS" implies here you might want to look at this here[^]
Omit Needless Words - Strunk, William, Jr.
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Web based project trackingQuartz... wrote:
i mean what does "EVERY 6 MONTHS" implies here
It implies that he gets a hike every 6 months. It does not imply that the hike amount is applied over his next 6 months of pay.
Quartz... wrote:
you might want to look at this here[^]
I read that too. That's worded wrong too - similar to how you worded it. It won't stand a legal scrutiny. Anyway I think we've argued enough on this. I still stand by my original point. :)
Regards, Nish
Nish’s thoughts on MFC, C++/CLI and .NET (my blog)
Currently working on C++/CLI in Action for Manning Publications. (*Sample chapter available online*)