Please give Solution to simple but confusing puzzle:
Sham S. Misri
A lady buys goods
worth Rs.200 from a shop. The shopkeeper selling the goods with zero profit.
The lady gives him Rs. 1000 note. The shopkeeper gets the change from the next
shop and keeps Rs.200 for himself and returns Rs. 800 to the lady. Later the
shopkeeper of the next shop comes with the Rs.1000 note saying
"duplicate" and takes his money back. "How much LOSS did the
shopkeeper face?
My solution:
Shopkeeper-1 Shopkeeper-2 Customer
i) Rs.1000+ (200 goods) Rs.1000 Rs. 1000
(Fake)
ii) Rs.1000 + 200 Rs. 1000(Fake) Rs.800 + Rs.200 (Goods)
Iii)
Rs.1000 (Fake) + Rs.200 Rs.1000 Rs.800 + 200
(Goods)
Rs.1000 (Fake) + Rs.200 Goods = Rs. 800
(Return to lady)
Rs. 1000 Fake note goes to next shop.
Hence, Rs.800 (Return to lady) + Rs.1000
Fake = Rs. 1800 Loss
Or S. Number (iii) above may be explained
as:
What is in shopkeeper l’s cash locker?
A
fake note of 1000 (i. e) -1000
How much he gave to the customer?
Cash
Rs.800 (i.e.) -800
Therefore, (-1000) + (- 800) = (-) 1800 i.e.
the loss to shopkeeper.
Suppose shopkeeper
1 would have kept Rs. 1000 note with him (without knowing that the currency is
fake and have gone to the bank to deposit. There the bank tell him it is fake
change it. He would have to take fresh cash from the locker, hence the loss.)
It is the person
who has the final fake note is the loser, otherwise,
If the answer is
1000/= Tell me where from the lady got 800/= original?
From where the
other shopkeeper got 1000/= original currency.
If any one has better solution please send me
Thank you
Books by the Author(s)
Cleopatra and Harmachis - Part-2: The Finding of Treasure
Thank you
2 comments:
The problem is actually pretty simple :
* Selling a good for its value does not make you earn or lose anything
* Making some change at the shop next door does not make you earn or lose anything
* Accepting a fake 1000 Rs. note make you lose exactly 1000 Rs.
These three things are the only things that happen here. He lost 1000 Rs: the fake note.
Lets look at this simply as two different transactions in parts
1) with the lady
2) With the Shopkeeper.
1) He paid the price of 1000 rs for being ignorant about the fake note
2) He owed the other shopkeeper 1000Rs , when it should not have been owing to the (other shopkeeper) but a simply exchange.
so 1000+1000=2000 rs loss
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