A very simple but confusing puzzle.

A lady buys goods worth Rs.200 from a shop. (shopkeeper is 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?**

Check your answer:-

See Shopkeeper and duplicate note solution

### Answer

The answer is Rs.1000

**How?**

### Solution 1

To get the loss of shopkeeper we can get the profit lady and the other shopkeeper.

Loss of first shopkeeper = (Profit of the lady + Profit of the second shopkeeper)

Profit of the lady = Rs.200(for goods) + Rs.800(for the change she received) = Rs.1000

Profit of the second shopkeeper = Rs.0(as he got his money back)

So the loss of the shopkeeper is = 1000 + 0 = Rs.1000

### Solution 2

Second way of looking at is what shopkeeper gave to others and what is took from others

Loss of the shopkeeper = What he gave to others - what he took.

What he took

From Lady: Nothing(as the note was a duplicate one)

From Second Shopkeeper: Rs.1000

What he gave

To Lady:- Rs.200(goods) + Rs.800(change)

To second shopkeeper: Rs. 1000

So the loss = (200 + 800 + 1000) – (1000) = Rs.1000

Amit says

Fake note is in circulation. Govt. ka loss hua 😀

Devashish Datt Mamgain says

Assume the shopkeeper have Rs 0 and Rs 200 worth goods, he took 1000 from the lady and exchanged it with the next shop. Now the shopkeeper have 1000 out of which he returned 800 to the lady. He is left with 200, now he has to return 1000 to the next shop, so the final balance is -800. Now another loss is 200 which is the cost of the goods. So the total loss is 800 + 200 = 1000

Nilesh Garg says

Acc to me ans is 1200..

First of all keep in mind that he bought tha item in 200 Rs.

Now he takes money from shopkeeper2 and gives 800 to her and keeps 200.

So when he gives 1000 rs back to shopkeeper2 so he only have 800 loss here.

Now 800+200(Of the item he bought) = 1000

Now imagine that if he sells this item to any one else then he must have a profit of 200 Rs so Logically this must be taken in account also (not mathematically).

So total loss is 1200..

Amol Dalvi says

1000 is the right ans….

As he have lost 200(goods)+800rs given to lady, he will have to give another 1000 to the other shopkeeper which will be from 800 from his own collection and 200rs of the goods value, that is 200+800+200+800=2000rs but again he has already have 1000 change which he has taken from the other shopkeeper earlier so net loss will be 2000-1000=1000rs

Nilesh Garg says

I know Amol that if we think mathematically then the answer is 1000.

But if we do not consider the case of equilibrium of profit and loss then one more point that if the shopkeeper sold this item to someone else in the same rate then he would have 200 in his pocket and that too i counted in loss for the shopkeeper.

i.e. why i said 1200.

ssk says

Simplest calculation ….

1st shopkeeper’s lost = total gain by buyer = 1000

2nd shopkeeper doe not lost or gain anything

Gyani says

The people saying 2000 and 1800 need to get their maths basics right. The problem is straight forward.. The other shopkeeper gained NO profit/loss. The lady gained a profit of 1000. (800 change+200Product). Therefore the shopkeeper suffered a loss of 1000, since equilibrium of money is maintained.

Sameer Ummer says

ok.. but y did you subtract 1000(amount of the 2nd shopkeeper) ??

1. Fake 1000 given by lady.

2. since (imagine) no cash in your register , u take this money to the next shop to get change. He gives u 10x100rs notes

3.u give the lady 800 as her change…

so… u have given her.. 200rs worth goods n 800 in cash for a fake note (which is ZERO) she gave.

1st loss: 1000

4. the other shop keeper comes n gives u the fake currency n says… bro this is FAKE.. n hopefully as a decent human… u pay him ORIGINAL 1000 bucks from ur own purse for the return of the FAKE (ZERO again).

2nd loss 1000 from ur own pocket. (but u also hv a FAKE 1000rs note.. which is useless)

Total loss to u .. 2000 🙂

Muralikrishna says

sameer ur correct but you got 200rs for the stock so it is not loss. ans is 1800 ie – 800rs change n 1000rs fake note

Chandrakant says

Answer:

1. What he took

From Lady: Rs. 200 in the box and returned Rs.800 instead for fake note.

From Second Shopkeeper: Rs.1000

What he gave

To Lady:- (Goods) + Rs.800(change)

To second shopkeeper: Rs. 1000

So the loss = 200 in the box and returned 800 + 1000 = 1800

ezhil says

Also 200 goods in her hand man tata also money….product is also money…money is also product so 2000 is crt

suklal kale says

1000 is right answer…..

Lets think another way. if there is loss then some one has profit..

so lets think profit first.. shop keeper 2 gave 1000 rs first and later on he takes that back… so he is in no loss no profit..

Lady takes away 800 rs + 200 rs goods… that is only losss…

1000 is right answer…..

asif says

A mathematical approach and so correct

Before transaction

Amount lady has =Fake F

Amount shop keeper has 0eject O

Amount guy next shop has 1000

Aftertransaction

Amount lady has 800 +o

Amount shop keeper has = F+ x(unknown)

Amount guy next shop has 1000

Solve for x

F+o+1000=800 +o+F+x+1000

X=-800

Net profit

After- before

X+F- o

-800 -200 ‘coz =0

-1000

aditya pai says

ans should be 1000 rs…the loss for shopkeeper is 200 for goods and 800 for fake note…tink out of box!!!!!

Boopathy says

the answer should be 2000.the cost of the goods 200 + the 800 rs real money which he gave the woman from the money he exchanged for the fake note + the 800 rupees which he had to give back from his own pocket(as he had already given the exchanged money to the lady)+ the 200 he had to return though he kept that money for himself from the actual exchanged money.

Syed Rehan Ahmad says

Assume Yourself as the selling shopkeeper and review the transactions.. You will find the answer..

After the end of the last transaction You have only the duplicate note i.e nothing.. means what You gave to the lady customer and the other shopkeeper are your losses.. that is

= material loss of 200 + 800 returned to the lady customer + 1000 to the 2nd shopkeeper = 2000

– 1000 (the amount of the 2nd shopkeeper) = 1000

(Remember what he gives as change is returned back to him.. that amount of 1000 has actually nothing to do with the puzzle except creating confusion)

Sameer Ummer says

ok.. but y did you subtract 1000(amount of the 2nd shopkeeper) ??

1. Fake 1000 given by lady.

2. since (imagine) no cash in your register , u take this money to the next shop to get change. He gives u 10x100rs notes

3.u give the lady 800 as her change…

so… u have given her.. 200rs worth goods n 800 in cash for a fake note (which is ZERO) she gave.

1st loss: 1000

4. the other shop keeper comes n gives u the fake currency n says… bro this is FAKE.. n hopefully as a decent human… u pay him ORIGINAL 1000 bucks from ur own purse for the return of the FAKE (ZERO again).

2nd loss 1000 from ur own pocket.

Total loss to u .. 2000 🙂

osama-bin-laden says

in frst loss 800 is nt ur money…and u hav dat 200 rs. of other shopkeeper also, which remain left frm 1000rs. dat u took frm other shopkeeper …so upto this tym u gave only 200rs.(loss) dat is for goods only,..now when other shopkeeper came 2 ur shop ..u gave him 200rs. of his dat u hav…and 800rs.(loss) frm ur pocket..

so here is ur final loss rs.1000..dont twist urself by thinking so much..

Manoj Jain says

I don’t know why the confusion is…

Let us assume that the shopkeepar has A note of 1000. He sold material of rupee 200. Then he took the 1000 rupee note from the lady and got the change. He kept 200 rupee with him and paid 800 rupees to lady. Now he has rupeea 1200 with him . Now he returns rupees 1000 note in excahnge of the fake note to other shopkeepar. Finally he has rupees 200 witn him which is equivalent to the material sold. So the shopkeepar only looses rupees 1000 note which he had intially.

Sameer Ummer says

IMAGINE u r the shop keeper….

1. Fake 1000 given by lady.

2. since (imagine) no cash in your register , u take this money to the next shop to get change. He gives u 10x100rs notes

3.u give the lady 800 as her change…

and keep 200rs in register…

so… u have given her.. 200rs worth goods n 800 in cash for a fake note (which is ZERO) she gave. her gain is 1000rs.. but our

1st loss: 1000 – 200

4. the other shop keeper comes n gives u the fake currency n says… bro this is FAKE.. n hopefully as a decent human… u pay him ORIGINAL 1000 bucks from ur own purse for the return of the FAKE (ZERO again).

2nd loss 1000 from ur own pocket. (but u also hv a FAKE 1000rs note.. which is useless)

Total loss to u .. 1800

Sanjay says

ur answer (1800) will be right if u justify this; that lady came with 1000rs fake note and got away with 200rs item and 800rs in cash: total 1000rs. now reply

Jasvanth says

Yes, 1000rs taken away by the lady and 1000rs given back to the shop keeper so total loss is 2000 rupees.. so then from the 2000rs u deduct the change of 200rs he kept to himself while giving back the change to that lady.. so it is 2000-200=1800..

Renu goyal says

Lady give 1000 RS

RETURN 200GOODS+800 CHAGE

LADY NO MORE IN PICTURE.

IST SHOP GIVE 1000 TO NEXT SHOP.

TAKE LOOSE MONEY AND GIVE 800 RS LADY AND 200 rs himself.

but 2nd take 1000 back

IST give 1000 to 2nd and 200. Rs worth to lady

Total losses 1200 rs. Including goods amount .

Manzoor Ahmed says

yes he gave the lady 200 worth of goods after he exchanged with real notes of 200 from the shop next door. so he gave goods worth 200 and got that money…

Sujit says

The correct answer is = 200(Goods)+800(cash to lady)+(1000-200=800(from pocket to 2nd shopkeeper)) = 1800Rs

kartik says

cash to lady is not his loss he took frm other shopkeeper and gvn ,,loss is 1000 as he got back fake note 200 already got for his material=1000 loss

Arslan Izaya says

1000

A. Alikhani says

Fake 1000$ can only lead to loss of 1000$ , if not so, i would make a fake 1000$ and profit 2000$ 😉

Anon says

Day 1

Step 1: Lady gives Rs. 1000 (duplicate).

Step 2: Shopkeeper 1 gets change of Rs. 1000 from Shopkeeper 2.

Step 3: Lady leaves with goods worth Rs. 200 + Rs. 800 (change).

There is no profit or loss incurred on this day.

Day 2

Step 1: Shopkeeper 2 realizes that Rs. 1000 is fake.

Step 2: Shopkeeper 2 takes real Rs. 1000 from Shopkeeper 1.

The loss incurred by Shopkeeper 1 on this day is 1000.

saurabh says

and what about the money he has given to the lady 800

arpit says

2000

1000 rs he gave to other shopkeeper

200 ka material loss+800 rs

1000+200+800=2000

Rishi Sehgal says

its a confusing question and we can get many confusing answers to it.but correct answer should be 1000..

VEERARAGHAVAN J says

Assume there is no neighboring shopkeeper involved. After the lady went you realise that its a fake note….You lost only 880 change + 200 worth of pruducts amonting to 1000/-. By the same way neighbor transaction cancelled each other. So the net loss to the shopkeeper is 1000/-

ezhil says

Orignal amount ll give tat second shop owner only

punzi says

loss is of 2000 as he has to return 1000 back to next door shopkeeper too.

manya says

that is your percieved loss since u are adding

1 value given to lady and

2 value given to other shopkeeper …. but in reality actually value given to lady was not from his pocket it was the one he got in exchange of fake thousand note from other shopkeeper, ur adding amount twice unecesarily

kulasekhar says

1000

vijayraja says

The correct anser is 1200

puzzlersworld says

@b2fb992e15e30651fafb9c9be3c1b5d4:disqus nopes, @34ede97adef2f1a24deeadba0cc459bf:disqus is correct

Pramod M Menon says

2000 is correct. as 1000 is given back to the neighbor and 200rs goods for the lady and 800 as change for her

Obhay Rai says

the shopkeeper who sold the goods of 200rs to the lady still has the 200 rs of the next shopkeeper ??? what about that ???

this 200 is from the fake 1000 rs isnt it ?

the lady took 200 rs of good + 800 rs

1000

the shop keeper have to give 800 rs and the 200 rs from the fake money so giving 800 frm his own can solve the problem

hence 1000 frm the lady and ownselve 800 rs

that makes total 1800 /- loss

tim says

Imagine you are the shopkeeper:

a) After the lady left u had 200

b) Next day you need to return 1000 to the neighbor

c) So u add 800 to 200 and give it to him

So loss = 1000.

Simples 🙂

Vivek says

I think all are except for 1 who said 2000/- … Being a professor of Mathematics .. I must get things right here.

The lady gives a fake note of 1000 which is value less. Therefore the lady gives Rs 0 to shopkeeper 1.

Shopkeeper 1 gets a change of Rs 1000 from shopkeeper 2 and gives the lady a total of Rs 800 in cash and Rs 200 in goods = Rs 1000.

Shopkeeper 2 comes back with the fake note and takes back the his money = 1000 from shopkeeper 1

Therefore the shopkeeper 1 is at a loss of 2000 Rs

Durga Prasad M says

Actually there is only one fake note in this puzzile whose face value is 1000. so the loss or profit should be 1000 only.lady got 1000 profit and shop keeper got 1000 loss. neighbour shopkeeper has nothing to do in this puzzle just creating confusion.

ravi says

consider your 2nd last line..shopkeeper 2 comes back and takes back HIS money,

the money which he initially lend to shopkeeper 1, then how can you sum this money as loss bear by shopkeeper1

Sameer Ummer says

IMAGINE u r the shop keeper….

1. Fake 1000 given by lady.2. since (imagine) no cash in your register , u take this money to the next shop to get change. He gives u 10x100rs notes

3.u give the lady 800 as her change…

so… u have given her.. 200rs worth goods n 800 in cash for a fake note (which is ZERO) she gave.

1st loss: 1000

2nd loss 1000 from ur own pocket. (but u also hv a FAKE 1000rs note.. which is useless)

Total loss to u .. 2000

kartik says

cash to lady is not his loss he took frm other shopkeeper and gvn ,,loss is 1000 as he got back fake note 200 already got for his material=1000 loss wil b actual loss

Sameer Ummer says

Remember the shopkeeper has 200rs original in his cash box.. so.. total loss is 1800.. right?

Rajesh says

wat about the money that lady took(which is real)…so ur theory 100+ the money lady took 800 = 1800 is the loss

ravi says

1000 given back to neighbor, which were initially borrowed from him,

1000 is the loss bear by shopkeeper 1

sujan says

The above explanation is wrong here.

Ganesh Kumar Balraj says

We need to see it as two transactions which the shopkeeper performed. Check

individual outcomes.

Transaction 1 – between the shopkeeper and his neighbor. Here, the

shopkeeper does not lose anything, since he gives back to the neighbor the

change he had taken for the fake note

Transaction 2 – between the lady and shopkeeper. Here, shopkeeper loses

goods of Rs. 200 and Rs. 800 which he gave back. So the total loss to

shopkeeper is Rs.1000.

Chandrakant says

What he took

From Lady: Rs. 200 in the box and returned Rs.800 instead for fake note.

From Second Shopkeeper: Rs.1000

What he gave

To Lady:- (Goods) + Rs.800(change)

To second shopkeeper: Rs. 1000

So the loss = 200 in the box and returned 800 + 1000 = 1800

Karthikeyan V says

y did u doesn’t include the goods worth Rs: 200 loss… so it would be 2000….

Yog says

If you take the next shop out of the picture, this shop keeper would have only lost 200 + 800 to the lady for the fake currency. Later if he gets change from the next shop for that fake currency, and then he ended up returning back the 1000 Rs, it will not be considered a loss because he has not lost his money, he is simply giving the money back to the next shop that he got in exchange for the fake note.

Anija says

then what about the goods worth 200 she tooked

Yog says

That is the 200 in 200 + 800.

NP says

But the 1000 rs is a fake note. which he cant use. So its a loss of 1000 +800( returned to the Lady) +200 ( G00d)

PK says

800 returned to the lady is from the 1000 which he received from shopkeeper2. And he also has 200 for the goods.. so the loss is only 1000..

Soheb Ganeriwala says

he lost ₹1000 ..

₹200(product)+₹800(cash)=₹1000

its like you have 50 bucks you give it to some one he gets a changes it here in the currency value is same but if the note is not legit the one who give you your money is at loss.! but if the third party is invoved like the problem ..then consider the transaction directly as the two shop keepers dint change the currency value what you gave, he gave forward and recieved and then gave it to you.! if you argue that he gave ₹200 in product value and ₹800 in currency and then returned ₹1000 (to shopkeeper) so its ₹2000.! lets consider one thing now if he dint give ₹1000 back what is his loss? ₹1000 NO its NONE coz then if no one found out the money was fake then there was no loss.the second shop keeper is incurring no loss or gain just currency exchange.!.the 2nd shoppkeper just took back money he in exchange for note of same value now think of it as no money was given by the #BUYER.! so the 1st main shoppkeeper gave ₹200 products for free and then further gave ₹800 cash out of genrosity.

Sahil Bangotra says

When he gave 800 rupees to the lady , that money was taken from another shopkeeper. at present the person at loss was only the another shopkeeper. The shopkeeper selling goods was at no loss. after a while when the shopkeeper returned to take his money back, he left the shopkeeper at a loss of 1000 Rs

Kinkar Roy says

You are right

nikhil says

he gave fake note so the loss is of sk2 not sk1

Arvind Hindyar says

you are from which school buddy?

Pravin Purohit says

One man’s gain is other man’s loss,

Please read and think carefully .

The lady is having a fake note of rs 1000 (which has no value) means she is already at a LOSS of Rs.1000 now she is receiving goods worth Rs. 200

And Rs. 800 (Real money). So, here the lady has written off the loss of 1000, means at the beginning lady was having a profit of -1000(loss) and at the end she is left with the profit of +1000

So the total gain of that lady is 2000

(1000 real profit + reduction of loss of 1000)

Hence the total loss of shopkeeper is 2000