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October 1, 2011

Fake Note Puzzle

Ram and Mohan are friends, having their own shop, side by side.
Once Shyam came to Ram's shop, asked for a water bottle, that
costs 20Rs. Shyam gave 100 Rs. note, but Ram didnt have change.
Ram gave the same 100Rs. note to Mohan and took cange from
him. Ram kept 20Rs from that change an return remaining amount
and a water bottle to Shyam.
Next day Mohan complained to Ram that the 100Rs. note gave him
and took change was fake note, then Ram gave him a real 100Rs.
note and take the fake 100Rs. note back.

what is the total loss to Ram in the whole transaction.
{profit/loss on water bottle neglected}


annapoorna said...

one hundred rupees and a twenty rupees worth water bottle, so totally its rs.120. since, loss on water bottle is neglected, the total loss for ram is rs.100.

Babu vincent said...

As Ram knows it was Shyam, he can exchange fake note with the same person shyam later in case.. If not, Ram would be lost his Rs

200 includes 20- water bottle
80- returned balance
100- fake note(money . . given to mohan) .
TOTAL: 200
. ----------------

to gain his money back he needs to get 200 rs from SHYAM.

A little mocha for me said...

Shyam is WAY ahead in the deal. He now has 80 real Rs plus the water bottle worth 20 Rs.

Mohan is even as he took the fake 100 Rs and made change with it. When he complained it was fake, he received a real 100 Rs.

Ram suffered a HUGE loss. He has the real 20 Rs from the sale of the water bottle, but when the 100 Rs was realized to be fake, he gave Mohan another 100 Rs. That puts him behind 80 Rs - subtracting the 20 Rs "profit" he made on the sale of the water bottle.

Anonymous said...

Total loss Rs.100 comprising of Rs.20 bottle and Rs.80 change given since the loss would have been same if he had not taken Rs.100 fake note.

Anonymous said...

100 for exchanging d fake note+80 which he gave to shyam=180 rs also if bottle price is also considered den it would n rs 200.

Anonymous said...


Secret Squïrrel said...

Why does this type of problem seem to give people so much trouble?

There is only one fake 100 rupee note. The only time anyone loses out is when they accept the 100 Rs note, so the total loss will always be 100 Rs.

Shyam is ahead 80 Rs plus the bottle of water.

Mohan is all squared up the next day.

Therefore Ram is behind 100 Rs. This consists of the 80 Rs he gave Shyam plus the water for which he ultimately received no payment.

If we are to ignore the water, then Ram has lost 80 Rs or, to be more correct, 80 Rs + the wholesale cost of the water.

Mcguinnen said...

If you read all of the puzzle you will see that the last line indicates that "profit/loss on water bottle is to be neglected"

So since the only real MONEY that left Ram's possession is the 100R note that he gave back to Mohan.

Then Ram's total loss is 100R.

The fake note does not count because it wasn't Ram's to begin with.

If Ram had not reimbursed Mohan then Mohan would be the one out of pocket 100R.

The 100R value of Ram's loss is in Shyam's possession in the form of 20R of product and 80R cash.

Please note that I still neglected profit/loss on water bottle because I only stated the retail value, not the currency movement of profit/loss.

Jyotirmoy Chakraborty said...

100 rs...the amt of the fake note

Anonymous said...

80 rs

Anonymous said...

Totall value in play is 120 to start with

Ram stared with 20(value of water) and ended out with negative 80 - so he lost a total of 100 (water + 80R to Shyam)
Mohan broke even
Shyam gained 100 (80Rs + 20 for value of water)

સુરેશ said...

Ram lost his 100 Rs/- as as
also water bottel costing 20 Rs.
So his loss is 120 Rs.

muqeem khan said...


Anonymous said...

1> Ram got nothing from Shyam : +0
2> Ram gave shyam : -80-bottle
3> Ram gave Mohan : -100
Ram's total loss = -180 and bottle

Sasi said...


Legendz said...


Total Loss is 100.
80 Rupees in monitory terms & 20 rupees for Bottle.

Anonymous said...

It's 180R.

Anonymous said...

It's a 180 rupees loss :

a) S->R : 100 fake rupees
b) R->M : 100 fake rupees
c) M->R : 100 real rupees
d) R keeps 20 real rupees for the bottle
e) R->S : bottle + 80 real rupees
f) M complains
g) R->M : 100 real rupees

Thus, R gave 80 real rupies to S (e) and had to give back 100 real rupees to M (g): 80+100 = 180 loss.

Cheers !

Anonymous said...

M nil, s gains rs100 and a bottle which is = r's loss

RAJ, Lucknow said...

Technically it's Rs. 100 (80 + 20 for the bottle). The loss will always be the same as Shyam's gain !
However my 10 years young daughter says ... "the loss should be zero as any fake or torn note can be returned/exchanged by RBI / authorized bank after producing a valid ID proof !!!
So the answer differs if put in a realistic environment.
- Raj, Lucknow

tvvijay vijay said...

shyam gives ram 100rs fake note
ram give mohan the same and get a change from mohan 100 rs as change
ram get 20 for the bottle and give shyam the balance 80 rs
so today no loss for ram and shyam gained 80rs + water bottle
and mohan loss 100rs

day 2
mohan get the loss amount 100rs from ram
nw no loss for mohan
and ram losses same 100 rs.,, dont get confuse its simple..,,.

Anonymous said...

200 for sure