Three men in a cafe order a meal the total cost of which is Rs1500. They each contribute Rs500. The waiter takes the money to the chef who recognizes the three as friends and asks the waiter to return Rs500 to the men. The waiter is not only poor at mathematics but dishonest and instead of going to the trouble of splitting the Rs500 between the three he simply gives them Rs100 each and pockets the remaining Rs200 for himself. Now, each of the men effectively paid Rs400, the total paid is therefore Rs1200. Add the Rs200 in the waiters pocket and this comes to Rs1400.....Where has the other rs100 gone from the original rs1500?

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SME in Mathematics & Statistics

The actual amount paid by the three men here is Rs 1200 as each of them contributed Rs 400. Out of this money the chef has taken Rs 1000 and the waiter pocketed Rs 200. Thus the calculation matches.
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Tutor

Expenditure = Rs1000/- for the bill. The waiter took Rs200/- So total expenditure is Rs1200/- This is what is paid by the three friends i.e Rs 400 each/-. The paradox in the question can be solved by checking the last statement of adding 200 to 1200. The 'Rs1200/-' already includes the waiter's 200.
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Physics & Mathematics Expert for JEE Mains,Advanced & Olympiads with 14 yrs experience

ha ha ha good one ! how to confuse good ! See you have added 1200+200 =1400 so in this way 100 is with owner of resto. Actually it is like this :-- all 3 actually paid 433.333 so owner got 1000 waiter 200 and 433.333 * 3 = 1300 You misinterpreted 400 it should be 433.33 per head
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Professional Chemistry Teacher for IIT JEE/NEET UG,Online expert for IB/IGCSE/AP CURRICULUM

Cleverly chef is also like waiter and he too pocket's Rs 100/- with him,resulting in a total sum of Rs 1500/-.....
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Your question is wrong in accounts there is always two side one side id debit and other is credit both should be equal. Expense and income are two different things. You can not club both together.
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B Tech ( NIT Jamshedpur)

we can not add 1200 with 200. total expenditure by friends= 1500-500=1000:: waiter gain=200,return=300 totaling 500 i.e to be sustracted by 1500 comes out actual expenditure by friends=1000.
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Good teacher

In the waiter's pocket only as they actually paid thousand rupees.
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Headstart to assured 95+ score in math

They paid rs 1000/- not 900/- . 300/- returned. rs 200/- with waiter. = Rs 1500/-. Catch is the 3 didn't pay 300/- they paid rs 1000/- divide by 3(after returning by the waiter) :)
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Freelancing Maths Tutor with over 8 years of experience in teaching lower as well advanced maths.

To the waiters pocket
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Maths illustrate the application of physics

Effectively speaking they spent 1000 for the food, 200 got the waiter and 300 get returned back.(total 1500 comes in picture like this way)
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Hi friends. I thought of sharing something wonderful i found on web so that it can help all of us & augment our understanding of the topic - 'Limit' . I have shared the complete pdf in my profile gallery or the original web link at the end of this post. An Intuitive Introduction To Limits Limits, the Foundations Of Calculus, seem so artificial and weasely: “Let x approach 0, but not get there, yet we’ll act like it’s there… ” Ugh. Here’s how I learned to enjoy them: What is a limit? Our best prediction of a point we didn’t observe. How do we make a prediction? Zoom into the neighboring points. If our prediction is always in between neighboring points, no matter how much we zoom, that’s our estimate. Why do we need limits? Math has “black hole” scenarios (dividing by zero, going to infinity), and limits give us a reasonable estimate. How do we know we’re right? We don’t. Our prediction, the limit, isn’t required to match reality. But for most natural phenomena, it sure seems to. Limits let us ask “What if?”. If we can directly observe a function at a value (like x=0, or x growing infinitely), we don’t need a prediction. The limit wonders, “If you can see everything except a single value, what do you think is there?”. When our prediction is consistent and improves the closer we look, we feel confident in it. And if the function behaves smoothly, like most real ­world functions do, the limit is where the missing point must be. Key Analogy: Predicting A Soccer Ball (associated pics in original post) Pretend you’re watching a soccer game. Unfortunately, the connection is choppy: So we missed what happened at 4:00. Even so, what’s your prediction for the ball’s position? Easy. Just grab the neighboring instants (3:59 and 4:01) and predict the ball to be somewhere in­ between. And… it works! Real ­world objects don’t teleport? they move through intermediate positions along their path from A to B. Our prediction is “At 4:00, the ball was between its position at 3:59 and 4:01?. Not bad. With a slow ­motion camera, we might even say “At 4:00, the ball was between its positions at 3:59.999 and 4:00.001?. Limits are a strategy for making confident predictions. Limits aren’t the only tool for checking the answers to impossible questions; infinitesimals work too. The key is understanding what we’re trying to predict, then learning the rules of making predictions. Happy math. (Original author - Mr. kalid ) Original post link: http://betterexplained.com/articles/an-intuitive-introduction-to-limits/ My profile link: https://www.urbanpro.com/delhi/pankaj-k/2531974 You may find more interesting stuff and information that can be of some help to you. I will be adding more pdfs in gallery soon . Sharing is caring.
If one wants the pdf in my galley on 'limits' can give a better understanding of the same material.
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