Shopkeeper and duplicate note

 

shopkeeper and duplicate note

shopkeeper and duplicate note

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:-

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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

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  • Ganesh Kumar Balraj

    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

      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

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

      • Yog

        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

          then what about the goods worth 200 she tooked

          • Yog

            That is the 200 in 200 + 800.

      • Soheb Ganeriwala

        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.

  • kulasekhar

    1000

    • vijayraja

      The correct anser is 1200

      • puzzlersworld

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

        • Pramod M Menon

          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

            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

            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

            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

            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

            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

            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

            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

          • kartik

            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

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

          • Rajesh

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

          • ravi

            1000 given back to neighbor, which were initially borrowed from him,
            1000 is the loss bear by shopkeeper 1

          • sujan

            The above explanation is wrong here.

  • punzi

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

    • manya

      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

  • VEERARAGHAVAN J

    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

      Orignal amount ll give tat second shop owner only

  • Rishi Sehgal

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

  • arpit

    2000
    1000 rs he gave to other shopkeeper
    200 ka material loss+800 rs
    1000+200+800=2000

  • Anon

    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.

  • Arslan Izaya

    1000

    • A. Alikhani

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

  • Sujit

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

    • kartik

      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

  • Syed Rehan Ahmad

    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

      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

        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..

    • Sameer Ummer

      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

        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

          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..

  • Boopathy

    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.

  • aditya pai

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

  • asif

    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

  • suklal kale

    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…..

  • Chandrakant

    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

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

  • Gyani

    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

      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

        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

  • ssk

    Simplest calculation ….
    1st shopkeeper’s lost = total gain by buyer = 1000
    2nd shopkeeper doe not lost or gain anything

  • Nilesh Garg

    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

      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

        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.

  • Devashish Datt Mamgain

    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

  • Amit

    Fake note is in circulation. Govt. ka loss hua :D

  • humanbeing0007 .

    plz make a cashbook and post the entries and compute the closing balance. i am getting 200+ so loss is coming to 800

  • manya

    Answer is 1000

  • udita

    1000 is d answer ( u can simply assume that ders no third party or other shopkeeper ) lets say I m shopkeeper I get rs 1000 fake note n return 800 rs to lady plus goods of 200 rs . ….. so my loss is rs 200 (goods) plus 800 I gave to lady that means total 1000 rs

  • SNAIR

    1000

  • Soheb Ganeriwala

    #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.

  • Shaheen

    1600 is the answer

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  • Anvesh

    Why didn’t you consider the money of goods from which shopkeeper brought from the wholesaler….I think its 1000+200(money shopkeeper spent to buy goods from wholesaler)

  • Guest

    this should help

  • karanpcrc

    this should help!