Solve the Puzzle: Smart Seller's Trick to Avoid Mistakes

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In summary, two men, A and B, each with 30 eggs, go to the market to sell. A sells 2 eggs for 1 unit and B sells 3 eggs for 1 unit. A receives an urgent call and asks B to sell his eggs. B mixes both eggs and sells 5 for 2 units. However, he comes up 1 unit short when counting the money. The trick to avoid this mistake is to use the price-per-unit of A in all the eggs, including B's. B may have gone wrong by not expecting a reward for selling A's eggs or not properly calculating the discount on A's and gain on B's eggs. Mathematically, the correct way to sell the eggs
  • #1
quark
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Stupid Seller?

Two men A and B go to the market to sell eggs. Each one has 30 eggs. A sells 2 for one unit(insert your own monetary unit) and B sells 3 for one unit. Just before they start to sell, A gets an urgent call from his home, he requests B to sell his stuff and goes home. B, the wise man, mixes both the eggs and sells 5 for 2 units. When finally he counts the money, he gets 1 unit short(60 = 12*5 and 12*2 = 24units)

Can we suggest him the trick so that he won't repeat the mistake again?
 
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  • #2
use the price-per-uinit of A in al the eggs, including he's.
 
  • #3
My question is where did B go wrong?
 
  • #4
After B sold 10 mixtures of 5 eggs each (2 from A, 3 from B), he had sold all of his own eggs. From then on, he continued to sell A's eggs at the reduced price.
 
  • #5
another possibility is that B didn't expect any reward or took in interests from him selling A's eggs...
 
  • #6
Why can't anybody just answer it without manipulating the story or the whole point of this disscussion? :grumpy: :approve:
 
  • #7
Jimmy!

Correct and a big egg for you. Can you put it mathematically(in white, ofcourse)
 
  • #8
----No need to "white out"
Price of A eggs= 1/2 per egg
Price of B = 1/3 per egg
New Price for AB mix 2/5 per egg
Discount on A = 1/2 – 2/5 = 5/10 -4/10 =1/10
Discount on B = 1/3 - 2/15 = 5/15 -6/15 = -1/15 “Gain”
Loss on A's = 30*(1/10)= 3
Gain on B's = 30*(1/15)= 2
Net loss = 1

Expected was 30*1/2 plus 30*1/3 total 25 not 24
Thus Should Sell 60 for 25
Or price at 5 units to buy a dozen.
 
  • #9
Mathematically you are correct. But your answer doesn't show at what point of time B went wrong. Here is a lead/mislead. Suppose A didn't go home and both started selling seperately. I go there to buy eggs and take two from A and three from B and I get 5 for two units and they didn't loose(1/12 = 0.083units)anything.
 
  • #10
B doesn't know how to add fractions or average (I'm assuming he wanted to average the price).
His work:
1/2 + 1/3 = 2/5

Actual work:
(1/2 + 1/3)/2 = (3/6 + 2/6)/2 = 5/6/2 = 5/12
 
  • #11
...but averaging did work in my above example.
 
  • #12
quark said:
...but averaging did work in my above example.

Yes, averaging was the way to go, but the guy in the story seemed to think adding numerators and denominators would aveage it for him.
 
  • #13
quark said:
...but averaging did work in my above example.
Sure it was a problem in your example as well,
Have the buyer keep buy'n 5 at a time and expect the same cost till he buys all the eggs.
At the end he'll need to get a $1 discount from A or pay him $1 more than his plan.
RB
 
  • #14
Randall got it right. There won't be any problem as long as B's eggs are totally not sold out(or in that proportion, atleast). Once B's thirty eggs are over then loss for A is 10*(50-40) = 1 unit.
 

1. How does the smart seller's trick help avoid mistakes?

The smart seller's trick involves using a systematic approach to solving a puzzle or problem. By breaking down the puzzle into smaller, more manageable pieces and using logic and strategy, the seller can avoid making mistakes and increase their chances of successfully completing the puzzle.

2. Can the smart seller's trick be applied to any type of puzzle or problem?

Yes, the smart seller's trick can be applied to any type of puzzle or problem. It is a versatile approach that can be used in various scenarios, such as solving a math problem, completing a crossword puzzle, or even making important business decisions.

3. Is the smart seller's trick difficult to learn?

The smart seller's trick is not difficult to learn, but it does require practice and patience. It involves developing critical thinking skills, problem-solving abilities, and the ability to think ahead and anticipate potential mistakes. With practice, anyone can master this trick.

4. How can the smart seller's trick benefit a business?

The smart seller's trick can benefit a business in many ways. By avoiding mistakes and making more informed decisions, businesses can save time and resources, increase efficiency and productivity, and ultimately improve their bottom line. It can also lead to better problem-solving skills and a more strategic approach to business operations.

5. Are there any drawbacks to using the smart seller's trick?

While the smart seller's trick is a valuable tool, it may not work for everyone. Some people may find it difficult to break down a problem or puzzle into smaller pieces, and others may struggle with using logic and strategy. However, with practice and perseverance, most people can benefit from using this approach.

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