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Some fun on Happy hour prices.

Note:

  • Before reading this note I suggest you to solve happy hour prices, it's second part and the third part . . . .

  • This note is posted just for some fun and relief from all the daily activites, the characters in this story(there are only two!) are: Calvin Lin and an anonymous bartender, please don't take this story seriously!

You are eligible to read this now,

One fine morning, some illiterate thought of starting a bar(he had long since cherished a secret fantasy about this).

  • As he was and illiterate(he never heard of math in his life), he put up the price board haphazardly and that too, not caring about the prices(see the question) he put on them .Whatsoever, his business continued. . . .

  • Consequently, most of the people bought the \($\dfrac{1}{2}\) drink, but this guy didn't understand why (You may ask Calvin sir why?). He just cared whether the drinks are sold or not. . .


1 Year later: He started noticing, that almost all of the people(with few exceptions) bought the \($3\) drink. So that night, he decided that he would ask this question, "why everyone preferred the \($3\) drink?" to the next customer. . .

  • Subsequently, the next morning had come. And the first person he saw was certain Calvin Lin , who was a generous person in his thirties and liked solving math problems on Brilliant.org.

  • He came up to the shop and glanced at the price board, being a "challenge master" he did the math quite quickly and ordered \(2\), \($3\) drinks instead of \(1\), \($10\) drink. And as decided, the barkeeper asked this guy, "why so?".

  • At first, Calvin thought he would better go away, but as he was a generous person and moreover he had time to spare, he started explaining why. Here goes the conversation:

See Mr., I hope you're familiar with "Mathematics."

What-matics"?

"Mathe"-matics.

Sorry, but what's that?

It's the abstract science of number, quantity, and space, either as abstract concepts, or as applied to other disciplines such as physics and engineering.

So, what have we got to do with that?

Let's consider your example, you have priced the \(\dfrac{1}{2}\) liter drink at \($3\) and the \(1\) liter drink at \($10\). Can you explain what's wrong with that?

Sorry, but I don't see anything wrong, can you explain that?

Alright, you see that \(10\) liters is double the\(\dfrac{1}{2}\) liter. So, you should have priced the \(\dfrac{1}{2}\) liter drink, at half the cost of the \(10\) liter one, i.e, at \(\dfrac{10}{2}=$5\), but you'd placed it at less that one-third the cost. That means you've incurred a \($2\) loss!

Oh my god! I understand it. This is so horrible, what should I do now!

  • After, seeing the barkeep's reaction, Calvin left. But, the Barkeeper was awestruck.

  • And then he broke down and cried for an hour, finally the long silence was broken by a customer, who bought a pen and changed the price board, he was Calvin . . .

  • The barkeeper, moved forward to get a closer look, and found that the \(\dfrac{1}{2}\) liter drinks' price was changed to \($6\), the \(1\) liters' to \($12\) and the \(2\) liters' to \($24\)

  • He then explained that the business would get better now, and also asked him,

"how many, drinks were sold every day? and how many years the shop has been running?"

  • The barkeeper replied, "(still sobbing)around 20 drinks. . . and it's been on for an year. . . "

  • As a finance person Calvin calculated the loss,

"that means, a loss of \(20 \times 365 \times 2 = \boxed{14600}\).

"Oh my god! When will I recover from all this. . . "

  • Again Calvin did the math and said,

"maybe within 8 months or so . . . "

"Thanks my son, I don't know what would have been my fate, if you weren't present today, you are an "angel" for me!"

"No, no sir, no need to mention that, I hope your business gets better soon . . . And as a debt from my side, I'll pay you \($12\) for that drink."

"No my son! Your help was the biggest reward I could ever get . . ."


Two years later: The barkeep came out of all his difficulties and losses and learnt a whole lot of math, he learnt tricks to draw more customers as he learnt about discounts , here goes his new price board:

  • \[ CALVIN'S \quad BAR :\quad MENU \]
  • \(\dfrac{1}{2}\) Liter - $10 - 30% Discount!
  • \(1\) Liter - $20 - 30% Discount!
  • \(2\) Liter - $40 - 30% Discount!

Three years later: The barkeep went mad with math, he started learning about limits and never ending sequences.

And with Calvin sir's blessings, he created a new and attractive offer:

Here it goes,

SPECIAL OFFER! For only \(\$45\), you have the option of getting drinks infinite number of times which goes as \(1\) litre on the first drink, \(\dfrac 12\) litre on the second drink, \(\dfrac 14\) litre on the third drink... and so on. LIMITED TIME OFFER! HURRY!

Hope you enjoyed it! Also, the last part(three years later) was suggested by Prasun Biswas

Note by Sravanth Chebrolu
2 years, 3 months ago

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Whoa! That was just fantastic, and yes it was like a short movie as Sandeep mentioned! Raghav Bhat · 2 years, 3 months ago

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@Raghav Bhat Thanks sir! I am happy that you enjoyed it. . . Sravanth Chebrolu · 2 years, 3 months ago

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hahahaha..Lol !!! Very funny and Creative. It was like a short movie.

I loved :

See Mr., I hope you're familiar with "Mathematics."

What-matics"?

"Mathe"-matics.

Well done ! Keep it onn...

\[\huge \ddot \smile\] Sandeep Bhardwaj · 2 years, 3 months ago

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@Sandeep Bhardwaj Thank you sir!!! Yes, even I enjoyed that part very much. I'm so happy that you enjoyed it! \(\huge\ddot\smile\) Sravanth Chebrolu · 2 years, 3 months ago

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@Sandeep Bhardwaj sir and @Calvin Lin sir, I will be happy if you comment! Sravanth Chebrolu · 2 years, 3 months ago

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@Sravanth Chebrolu @Prasun Biswas sir, you must comment here! Sravanth Chebrolu · 2 years, 3 months ago

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@Sravanth Chebrolu This is a nicely written, well-presented post. Liked and reshared! :) And btw, why do some of you call me "sir" ? I'm not that old, you know? :P Prasun Biswas · 2 years, 3 months ago

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@Prasun Biswas Thanks (sir)!

And btw, why do some of you call me "sir" ? I'm not that old, you know? :P

Well that's my habit, if you don't like me say that I won't . . . :P Sravanth Chebrolu · 2 years, 3 months ago

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@Sravanth Chebrolu @Suprem s.nalkund please read this, as I see you've solved both the questions. . . . Sravanth Chebrolu · 2 years, 3 months ago

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I loved it! You are brilliant! Barbara Chiu · 2 years, 2 months ago

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@Barbara Chiu Many thanks! I'm extremely happy that you'd enjoyed it. Sravanth Chebrolu · 2 years, 2 months ago

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It was awesome especially the first two dialogue Suprem S.Nalkund · 2 years, 3 months ago

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@Suprem S.Nalkund Hi,i am Varun Varun M · 2 years, 3 months ago

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@Suprem S.Nalkund I am happy that you enjoyed it! Do like and reshare it so that it reaches every one out there. . . Sravanth Chebrolu · 2 years, 3 months ago

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Nice one! Swapnil Das · 2 years, 3 months ago

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@Swapnil Das Thanks Swapnil! I hope you enjoyed it! Sravanth Chebrolu · 2 years, 3 months ago

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I liked it very much! As a beginner to brilliant, I am enjoying this site very much! It's real fun actually, such relief's must be there . . . Vignesh Kumar · 2 years, 3 months ago

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@Vignesh Kumar Thanks! I hope your journey through this divine site be marvellous! Sravanth Chebrolu · 2 years, 3 months ago

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Comment deleted Aug 17, 2015

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@John Hardy Relax, dude. This isn't a serious math post. Our community in Brilliant differs from the average mathematical forums in the way that we have all kinds of discussions and sometimes even nonsensical joke posts which aren't supposed to mean anything but just amuse others. If you want to do serious math, there are many problems to work on and proof notes are also there. No need to hate on a post just because it seems useless to you.

P.s - This note was actually posted in response to this problem (which is actually a pretty basic algebra problem for beginners). This note is in response to the "bonus question" in the solution posted there by the math challenge master Calvin Lin. Prasun Biswas · 2 years, 1 month ago

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@Prasun Biswas I'm sorry... I don't hate anyone or anything but.... forget it... I am sorry... John Hardy · 2 years, 1 month ago

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@Prasun Biswas Why would you call Calvin Lin a math challenge master? John Hardy · 2 years, 1 month ago

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@John Hardy Go to this link and hover over Calvin's picture. You'll see that the title of his position in Brilliant (staff) is "Challenge Master, Mathematics". Prasun Biswas · 2 years, 1 month ago

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@John Hardy Yup. I understand that this is a study website. . . But I just posted it for fun. Sravanth Chebrolu · 2 years, 1 month ago

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@Sravanth Chebrolu Sorry, if it hurts you... I am deleting my previous comment... No worries!! John Hardy · 2 years, 1 month ago

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@varun m, aren't you Varun Manilal? If you are, please read this. Sravanth Chebrolu · 2 years, 3 months ago

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@Sravanth Chebrolu thanks man !hope you are having a good holiday . I read the article (awsome) but please increase the number of points for each question(happy hour prices part three) Varun M · 2 years, 3 months ago

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@Varun M So you joined Brilliant! Well the third part was considered as poorly worded problem so the staff marked it as \(10\) points. . .

Yes I am havin' a good holiday! Wish you the same! Do like and reshare the note if you liked it. Sravanth Chebrolu · 2 years, 3 months ago

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