Such a Deal!
Math brain teasers require computations to solve.
A man received an ad in the mail that promised to double his money. For every dollar he sent in, the ad guaranteed to return double his money minus a $24 service charge. He thought that was a pretty good deal, so he sent in his money. In the return mail he received double his money less the $24 service charge. He returned the money he had made and again it was doubled less the service charge. But, when he sent in the money a third time, he was charged the $24 service fee, but received no money back. How much money did the man lose?
He lost $21. Work backwards. If his last payment was doubled, less $24, it must have been $12. Payment two must have been $18, and payment one $21.
Nov 21, 2001
|I think this is wrong because of bad wording|
you say He returned the money he had made which I would say implied profit.
In this case he send 42$ first getting 60$ back then 18$ (keeping his original 42$) then 12$ loosing nothing.
Apr 25, 2002
|Well I thought it was good!|
Jul 13, 2004
|Was the IQ of that man more than the number of dollars he lost (vhich is more than 21, because there was the postage, unless the generous money-doublers provided a postage paid envelope)?|
Mar 20, 2005
|Heck just send in $1 000 000! |
Jan 11, 2006
|Actually, if you count the total money lost, it is more that $21. Sure, he started with $21, but that's not what he lost, total:|
1) Started with $21
2) Received $42
3) Loss #1: $24
4) Had $18 to reinvest
5) Received $36
6) Loss #2: $24
7) Had $12 to reinvest
9) Loss #3: $24
Ended with zero.
So, ultimately, the man lost 3x$24, or $72, not just $21.
Because the ad actually made good on it's promise to return double the money, for a little while, at least, the man was ahead, and so was able to lose more than he invested.
Nice teaser, just a little off on the question. The question should have been "How much did the man start with?" or "How much did the man invest..."
Liked it anyway!
Mar 10, 2006
|There was nothing wrong with the wording.....because the last instance said he received nothing....so you know exactly what was sent in...and as the answer said...work it backwards...|
he could have made money off this if he had started with a larger amount.....
Apr 23, 2006
|It is too obvious that any investments less than $24 lose ground. Too off the mark to entertain.|
Jun 19, 2006
|you say He returned the money he had made which I would say implied profit. |
How can he return money he doesn't have? The question states that money returned to him is the net, not the gross.
Still, this guy is dumb to send in $12 knowing he won't get anything back.
Jul 12, 2006
|The wording makes it confusing... then again... maybe it's just me |
Sep 04, 2006
|I agree with many here that the question was poorly worded. I appreciate what the teaser attempted to do though. Good effort.|
Jul 28, 2009
|The man actually could have began with any amount as long as it is no less than $18.01 and no more than $21.00|
If he began with $18.01 then he would receive $12.02 back. Then when he sent that in he would get $0.04 back Then he sends that in and receives nothing back.
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