Brain Teasers
Ring Sale
Once a man entered my office asking for help. He wanted to sell a ring and was hoping I could help. He said to me that if I got the ring to be sold at $100, he would give me a reward of $20.
I saw the ring, and I thought that I could get a little more money, so I told him that I will try to sell it at $200 instead. He then told me that If I was able to sell it at that price, He will give me $35 instead as a reward.
I tried to sell the ring, and the best price I could get was $140.
What should my reward be?
I saw the ring, and I thought that I could get a little more money, so I told him that I will try to sell it at $200 instead. He then told me that If I was able to sell it at that price, He will give me $35 instead as a reward.
I tried to sell the ring, and the best price I could get was $140.
What should my reward be?
Hint
The first offer stands as it is. The second one is only a raise in the reward in case of a rise in the sale price.Answer
The original reward was $20.For a $100 rise in the sale price, the reward could pass from $20 to $35, so there was a rise of $15 for the reward. That is, $1.5 per each $10 you obtain in the price. I got $40 above the original price, so I will get 4 * $1.5 = $6 plus the original $20 = $26.
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Comments
The hint completely gives the answer away, but its still good!
Man, your teasers are just gettin' better and better! Great job!
Well, Thanks!
I do the best I can...
I do the best I can...
Really liked the puzzle, but I don't think the hint was really necessary. I would've thought that was obvious.
Well, Kara, the original teaser had two different calculations in it, that where misleading and also puzzling. The ring seller calculated his reward in this way:
If for $100 there is a $20 reward, then for each $10 I could get $2. There are 14 $10 bills in $140, so my reward is $2 * 14 = $28
But the ring owner did a different math:
If for $200 there is a $35 reward, then for each $20 you could get $3,5. There are 7 $20 bills in $140, so your reward is $3,5 * 7 = $24,5
As you see, each one found a "best for me" way to calculate the reward. The original would say the real (fair) amount and ask on how to calculate it, instead of asking what the reward is. In that scenario, the hint fitted quite well.
Now I think it was let to you to figure out the calculation way (and may get one of the above!).
If for $100 there is a $20 reward, then for each $10 I could get $2. There are 14 $10 bills in $140, so my reward is $2 * 14 = $28
But the ring owner did a different math:
If for $200 there is a $35 reward, then for each $20 you could get $3,5. There are 7 $20 bills in $140, so your reward is $3,5 * 7 = $24,5
As you see, each one found a "best for me" way to calculate the reward. The original would say the real (fair) amount and ask on how to calculate it, instead of asking what the reward is. In that scenario, the hint fitted quite well.
Now I think it was let to you to figure out the calculation way (and may get one of the above!).
Although I got this one right, I disagree with the answer in that the agreement was for a larger amount only if the higher price was met. As such, per the agreement, the lower fee should have been the amount received.
Good point.
But anyway, if that is the case, I as a seller would let the owner give me my lower reward for a $100 sell, give to him the $100 and I keep ALSO the $40 I made with my selling efforts. Since I am not getting any reward for the overprice that is a direct product of my efforts, I see no agreement on giving that money to him.
But anyway, if that is the case, I as a seller would let the owner give me my lower reward for a $100 sell, give to him the $100 and I keep ALSO the $40 I made with my selling efforts. Since I am not getting any reward for the overprice that is a direct product of my efforts, I see no agreement on giving that money to him.
man i worked that out wrong. i did 100/20 then 200/35 to see an average cost, then divided 140 by that. it was roughly 5, so my answer was $28
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