# 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,

• 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
5 years, 2 months ago

This discussion board is a place to discuss our Daily Challenges and the math and science related to those challenges. Explanations are more than just a solution — they should explain the steps and thinking strategies that you used to obtain the solution. Comments should further the discussion of math and science.

When posting on Brilliant:

• Use the emojis to react to an explanation, whether you're congratulating a job well done , or just really confused .
• Ask specific questions about the challenge or the steps in somebody's explanation. Well-posed questions can add a lot to the discussion, but posting "I don't understand!" doesn't help anyone.
• Try to contribute something new to the discussion, whether it is an extension, generalization or other idea related to the challenge.

MarkdownAppears as
*italics* or _italics_ italics
**bold** or __bold__ bold
- bulleted- list
• bulleted
• list
1. numbered2. list
1. numbered
2. list
Note: you must add a full line of space before and after lists for them to show up correctly
paragraph 1paragraph 2

paragraph 1

paragraph 2

[example link](https://brilliant.org)example link
> This is a quote
This is a quote
    # I indented these lines
# 4 spaces, and now they show
# up as a code block.

print "hello world"
# I indented these lines
# 4 spaces, and now they show
# up as a code block.

print "hello world"
MathAppears as
Remember to wrap math in $$ ... $$ or $ ... $ to ensure proper formatting.
2 \times 3 $2 \times 3$
2^{34} $2^{34}$
a_{i-1} $a_{i-1}$
\frac{2}{3} $\frac{2}{3}$
\sqrt{2} $\sqrt{2}$
\sum_{i=1}^3 $\sum_{i=1}^3$
\sin \theta $\sin \theta$
\boxed{123} $\boxed{123}$

Sort by:

@Sandeep Bhardwaj sir and @Calvin Lin sir, I will be happy if you comment!

- 5 years, 2 months ago

@Suprem s.nalkund please read this, as I see you've solved both the questions. . . .

- 5 years, 2 months ago

@Prasun Biswas sir, you must comment here!

- 5 years, 2 months ago

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

- 5 years, 2 months ago

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

- 5 years, 2 months ago

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...

$\huge \ddot \smile$

- 5 years, 2 months ago

Thank you sir!!! Yes, even I enjoyed that part very much. I'm so happy that you enjoyed it! $\huge\ddot\smile$

- 5 years, 2 months ago

Whoa! That was just fantastic, and yes it was like a short movie as Sandeep mentioned!

- 5 years, 2 months ago

Thanks sir! I am happy that you enjoyed it. . .

- 5 years, 2 months ago

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 . . .

- 5 years, 2 months ago

Thanks! I hope your journey through this divine site be marvellous!

- 5 years, 2 months ago

Nice one!

- 5 years, 2 months ago

Thanks Swapnil! I hope you enjoyed it!

- 5 years, 2 months ago

It was awesome especially the first two dialogue

- 5 years, 2 months ago

I am happy that you enjoyed it! Do like and reshare it so that it reaches every one out there. . .

- 5 years, 2 months ago

Hi,i am Varun

- 5 years, 2 months ago

I loved it! You are brilliant!

- 5 years, 1 month ago

Many thanks! I'm extremely happy that you'd enjoyed it.

- 5 years, 1 month ago

@varun m, aren't you Varun Manilal? If you are, please read this.

- 5 years, 2 months ago

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)

- 5 years, 2 months ago

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.

- 5 years, 2 months ago