Originally posted by :CA. Amit Daga |
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Three friends went to a hotel. The bill was Rs 75/-
Each one contributed Rs.25/-. The waiter took the bill to the Cashier.
The cashier was happy & decided to give them a discount of Rs.5/- & asked the waiter to return them Rs.5/-.
Now the waiter was confused. How to distribute Rs 5 among 3 persons? He kept Rs 2 in his pocket &
Gave one rupee to each one of the 3 persons. So initially each one had contributed Rs.25. Now as they are given 1 rupee back, their contribution reduces to Rs 24.
They all contributed Rs 24 “ That is 24—3=72 & 2 rupees are in the waiters pocket.
The total becomes 74. But they Had paid Rs 75.
Where is the remaining 1 rupee????????? |
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Your statement "contribution=72 and 2 to waiter" is erroneous.There is no mathematical error.No confusion here.Just we get confused mixing terms like contribution and discount.
Both Pankaj Sharma and Chirag are correct.Pankaj has explained in a mathematicl way and Chirag has explained it in layman terms.
Simple commonsensical explanation(Commonsense is very uncommon these days!Hehe!)
Step 1: What did they bring initially with them= Rs.75
Step2: What did the 3 guys finally give(forget costing terms like "contribution" etal)=Rs.70 plus Rs.2(to waiter)=Rs.72
Step3:What they finally get back=Rs.3
Step1=Step2+Step3, so there ends the problem.
Also, Step 2 divided by 3(no of guys) comes with Rs.24 and so they got the right amount.
There is no big deal about this puzzle.
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Sharma has given a mathematical interpretation where in the 1/3rd is taken into consideration.