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Shopkeeper and duplicate note

(86 votes, average: 3.66 out of 5)

April 21, 2013 by puzzler 108 Comments

 

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?

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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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Comments

  1. Pravin Purohit says

    March 16, 2017 at 1:26 pm

    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

    If the lady would have received the good for free that means without paying anything than she will be at a profit of 1000.You cannot simply ignore the duplicate note as having a duplicate note is as good as we are already at a loss.

    Reply
  2. europe2020 says

    August 1, 2016 at 12:34 am

    According to me the correct answer should be 1200. Here’s why –

    The 1000rs fake note was exchanged for 1000rs in real notes so this is a net exchange – he has to return what he took.

    The lady walks away with 200 rs.worth of goods which is a lost value in goods..the shopowner incurs a loss for the goods worth 200 plus a full 1000 rupees that he has to return to the other shopowner thus his total loss is 1200.

    Reply
  3. Shaurya Verma says

    April 29, 2016 at 10:32 am

    answer is 1200 ,.. you gutys are neglecting the fact that the neighbour purchased that item of 200.. which ultimately results in the loss of 200/- product

    Reply
  4. devesh says

    April 11, 2016 at 12:24 am

    Just undertand it in this way “duplicat note” is worth nothing
    So let me asume that the 1st shopkeeper takes ₹1000 from 2nd shopkeeper
    And gives ₹800 cash and ₹200 goods to lady

    Hear he is at no profit no loss situation

    But after 1 hour he returns back ₹1000 to 2nd shop keeper

    Now he is at loss of ₹1000

    Simple

    Reply
  5. Haritha says

    February 19, 2016 at 12:03 am

    Think in this way.Suppose some one gave you rs.1000 fake note for exchange. if you exchange then you will be in loss of rs.1000 loss. here 200 (goods)+800 cash. so only 1000/- loss for you

    Assume SK1 dont have any money. Sk1 went to SK2 for 1000 with exchange of 1000 fake note. now SK1 have to give 200rs worth product and 800 to that lady.
    Now SK2 finds that it is fake note and asks for his 1000. now Sk1 will give 200 which is left in box(after giving 800 to women) and 800 from his own account.
    so the loss is 1000=800(his money)+200 rs worth goods.
    The 800 that SK1 have given to lady is not taken from his account it is from SK2

    Reply
  6. Mustafa says

    August 17, 2015 at 12:36 pm

    Loss is rs 1800/-
    1000/- the 2nd shopkeeper took back
    N goods sold for 800/- so total Rs1800/-

    Reply
  7. Awes Hashmi says

    July 14, 2015 at 7:19 pm

    Here loss is actually what shopkeeper gave from his wallet. Keep in mind there was no profit. He gave rs 200 + 800 from his wallet = 1000. Lady purchased items for free and in addition took away rs 800 .How much the shopkeeper gave extra money from his wallet is the perfect loss and

    Reply
  8. Anand Sharma says

    July 3, 2015 at 11:18 pm

    I have Rs. 0/- received 200/- goods account balance is 200/- add 1000/- account balance is 1200/- less 800 given to lady out of 1200.

    Account balance is now 400/-. Now gave shopkeeper 1000/- it is now balance is -600/- This is loss.
    It should be 400/- if the shop keeper have given the change form his own counter.(0+200+1000-800=400) as this 400 is fake loss is 400 in this case.

    Rs. 1000/- is correct for profit made by lady didn’t gave any thing but took 200 goods + 800 money.

    Reply
  9. CHIRAG M says

    July 2, 2015 at 3:09 pm

    ”Total profit for Lady = Total Loss for Shopkeeper”

    Here, total Profit for Lady is 200(Goods)+800(cash)=1000

    Therefore, total Loss for Shopkeeper will be Rs.1000

    (There is no any Profit/Loss for shopkeeper 2)

    Reply
  10. tejas barhate says

    June 15, 2015 at 11:47 pm

    solution is wrong…. real answer is 1200…. please look at only loss of real shopkeeper…. shopkeeper sell 200rs. goods…. he took change from another person of rs.1000…. and give 800 to lady and take 200 toward himself….

    at the time of the calculation of the loss…. he has to pay 1000 to another person who have duplicate note of 1000… at the time of payment… he will give 200(he has remain)+800(for making 1000 payment towrds another person)+200(loss of their goods which on sale…. because there is mention not any profit)… plz admin… chack if u can….

    Reply
  11. Victor Saha says

    May 1, 2015 at 8:03 pm

    Let me make it more simple…
    Forget about the 1000 rupees the lady gave you. Its just a trick in the question.
    Think in a way that, you gave Rs 800 + Rs 200 (value of the good) as Gift to the lady.
    What’s Ur loss…??
    Isn’t it Rs 1000 ??

    Reply
  12. Rajan chauhan says

    April 27, 2015 at 6:03 pm

    I think the answer is 1800 rs.

    Suppose the shop keepee has 0 rs. He gets change of 1000 rs from second shop keeper out of which he paid 800 to lady and ” KEEP 200 Rs. ” so he had 1000 rs loss only to the lady …
    After that he paid 1000 to second shop keeper out of which 200 rs he already have and he paid 800 rs from his pocket as loss
    So here he had loss of 1000(to lady) + 800( to second shop keeper)=1800 rs

    Who gave answer 1000 are partially right because they forgot that shopkeeper has 1000 rs fake note at the end out of which he paid 800 to second shop keeper from his pocket

    So 1000+800 = 1800 is the right answer..

    Reply
  13. Rajan chauhan says

    April 27, 2015 at 3:35 pm

    I think the answer is 1800 rs.

    Suppose the shop keepee has 0 rs. He gets change of 1000 rs from second shop keeper out of which he paid 800 to lady and ” KEEP 200 Rs. ” so he had 1000 rs loss only to the lady …
    After that he paid 1000 to second shop keeper out of which 200 rs he already have and he paid 800 rs from his pocket as loss
    So here he had loss of 1000(to lady) + 800( to second shop keeper)=1800 rs

    Who gave answer 1000 are partially right because every one forgot that shopkeeper has still 1000 rs fake note at the end out of which he paid 800 to second shop keeper from his pocket

    So 1000+800 = 1800 is the right answer..

    Reply
  14. Rajan chauhan says

    April 27, 2015 at 3:22 pm

    I think the answer is 1800 rs.

    Suppose the shop keepee has 0 rs. He gets change of 1000 rs from second shop keeper out of which he paid 800 to lady and ” KEEP 200 Rs. ” so he had 1000 rs loss only to the lady …
    After that he paid 1000 to second shop keeper out of which 200 rs he already have and he paid 800 rs from his pocket as loss
    So here he had loss of 1000(to lady) + 800( to second shop keeper)=1800 rs

    Who gave answer 1000 are partially right because they forgot that shopkeeper has 1000 rs fake note at the end out of which he paid 800 to second shop keeper from his pocket

    So 1000+800 = 1800 is the right answer..

    Reply
  15. Libin Melarcode says

    April 25, 2015 at 1:42 pm

    WHY MAKING IT SO COMPLICATED…ANSWER IS NOT 1000 ITS 1800 ONLY…THE AMOUNT PAID TO LADY 800 AND GOODS WORTH 200 IS HIS FIRST LOSS..ie 1000 AND FROM THE MONEY EXCHANGE HE INCURRED AGAIN 800 LOSS..BECAUSE HE GAVE HER 800 AND 200 ORIGINAL NOTE IS WITH HIM…SO FOR RETURNING MONEY HE INCURRED RS.800 LOSS ONLY

    Reply
  16. Kinkar Roy says

    April 1, 2015 at 9:19 pm

    Leaving the math calculation, I have done this process practically and found that loss is 1800

    Reply
  17. satya says

    March 12, 2015 at 1:38 am

    assume Value of Fake note = 0
    now 1st shop keeper gave that zero to 2nd and got 1000
    That 1000 was transferred to lady (200 in goods + 800 in cash)
    2nd shop keeper returned that zero and get his 1000 back.
    so total loss is 1000..

    Reply
  18. mrfz2014 says

    November 20, 2014 at 2:29 pm

    Foroget about the fake currency and items she purchased. These are what putting us in confusion. Now ur the shop onwer.

    1. You borrowed 1000 from neighbor.
    2. How much total lady cheated from you= (200+800)=1000
    3. Now neighbor ask his money and you give 1000 to him from your pocket.

    so u lost 1000

    Reply
  19. Sahil Bangotra says

    November 12, 2014 at 11:02 am

    Since the goods were sold at no profit. Its a very simple fact that, among three persons total loss should be equal to total profit. since The shopkeeper from which the change was borrowed remains at no profit and no loss , he is out of discussion.Since the lady walks away with Rs 1000 profit (goods worth rs 200 + rs 800). The shopkeeper suffers the loss of same amount i.e Rs 1000. Thats it.

    Reply
  20. Sarang Gurao says

    November 4, 2014 at 11:16 pm

    NOTE: That at each step Credit/Debit should match.

    Step 1: Lady Buys Rs 200 item from Shopkeeper 1 (Still not paid the
    money)
    Profit & loss of each member after Step 1
    Shopkeeper 1: -200(-ve) as he had sold the product and still not received money
    Shopkeeper 2: 0
    Lady: +200 (have the product and not paid money till this step1)

    Step 2: Lady gave fake Rs 1000 note to Shopkeeper 1 (She is paying a fake note, so it’s as good as she is not paying anything).
    Profit & loss of each member after Step 2
    Shopkeeper 1: -200
    Shopkeeper 2: 0
    Lady: +200

    Step 3: Shopkeeper 1 goes to Shopkeeper 2 to get change for 1000 rupees note.
    Profit & loss of each member after Step 3
    Shopkeeper 1: -+800. (He got value of item and +800 Rs still in his hand)
    Shopkeeper 2: -1000 (-ve) he is having a fake note and gave 1000 Rs to Shopkeeper 1 for nothing.
    Lady: +200

    Step 4: Shopkeeper 1 gives remaining 800 Rs back to lady assuming that she gave real note of 1000 Rs and keep 200 to self. (All note by shopkeeper 2 are real and now the fake note is with shopkeeper 2)
    Profit & loss of each member after Step 4
    Shopkeeper 1: -0
    Shopkeeper 2: -1000 (-ve he is having a fake note)
    Lady: +1000 (+200(product) + 800(Rs she received from shopkeeper 1))

    Step 5: Shopkeeper 2 come back to Shopkeeper1 and returns the fake money and took back real 1000 Rs.
    Profit & loss of each member after Step 5
    Shopkeeper 1: -1000 (-ve)
    Shopkeeper 2: -0 (he gets back his money)
    Lady: +1000 (+200(product) + 800(Rs she received from shopkeeper 1))

    So finally,
    Lady is +1000 Rs as she received product of 200 + Rs 800 Cash from
    shopkeeper 1
    Shopkeeper 2 is neither profit nor loss as he gets his money back.
    Shopkeeper 1 is in LOSS of Rs 1000 which is profit to Lady.

    Reply
  21. Guest says

    November 4, 2014 at 11:13 pm

    NOTE: That at each step Credit/Debit should match.

    Step 1: Lady Buys Rs 200 item from Shopkeeper 1 (Still not paid the
    money)

    Profit & loss of each member after Step 1

    Shopkeeper 1: -200(-ve) as he had sold the product and
    still not received money

    Shopkeeper 2: 0

    Lady: +200 (have the product and not paid money till
    this step1)

    Step 2: Lady gave fake Rs 1000 note
    to Shopkeeper 1 (She is paying a fake note, so it’s as good as she is not
    paying anything).

    Profit & loss of each member after Step 2

    Shopkeeper 1: -200

    Shopkeeper 2: 0

    Lady: +200

    Step 3: Shopkeeper 1 goes to
    Shopkeeper 2 to get change (Chutta) for 1000 rupees note.

    Profit & loss of each member after Step 3

    Shopkeeper 1: -+800. (He got value of item and +800 Rs
    still in his hand)

    Shopkeeper 2: -1000 (-ve) he is having a fake note and
    gave 1000 Rs to Shopkeeper 1 for nothing.

    Lady: +200

    Step 4: Shopkeeper 1 gives
    remaining 800 Rs back to lady assuming that she gave real note of 1000 Rs and
    keep 200 to self. (All note by shopkeeper 2 are real and now the fake note is
    with shopkeeper 2)

    Profit & loss of each member after Step 4

    Shopkeeper 1: -0

    Shopkeeper 2: -1000 (-ve he is having a fake note)

    Lady: +1000 (+200(product) + 800(Rs she received from
    shopkeeper 1))

    Step 5: Shopkeeper 2 come back
    to Shopkeeper1 and returns the fake money and took back real 1000 Rs. Profit
    & loss of each member after Step 5

    Shopkeeper 1: -1000 (-ve)

    Shopkeeper 2: -0 (he gets back his money)

    Lady: +1000 (+200(product) + 800(Rs she received from
    shopkeeper 1))

    So finally,

    Lady is +1000 Rs as she received product of 200 + Rs 800 Cash from
    shopkeeper 1

    Shopkeeper 2 is neither profit nor loss as he gets his money back.

    Shopkeeper 1 is in LOSS of Rs 1000 which is profit to Lady.

    Reply
  22. kshetra says

    September 12, 2014 at 5:50 am

    If you think like a Businessman, There will be no Loss for the shopkeeper… Because no shopkeeper generally takes 1000 fake note without checking thoroughly & both the shopkeepers made mistake,it won’t…
    —— she gave him a correct note,shopkeeper took the fake note which he already had with him to the next shop..since the next shopkeeper knows him he didn’t concentrated much on it,and has given him 1000 change..
    ——-And the next shopkeeper got to know its a fake one took it back to the shopkeeper,since he knows abt it..After some discussion,he returned him the correct one and takes back his fake note…..So there will be no LOSS for him…

    Reply
  23. Aditi Sharma says

    September 9, 2014 at 2:38 pm

    It should be 1000+800+200

    Reply
  24. Guest says

    September 8, 2014 at 3:23 pm

    Its Rs.1000 Loss.
    here’s my explanation

    Reply
  25. Guest says

    September 8, 2014 at 3:16 pm

    Its Rs.1000 Loss.
    here’s my explanation

    Reply
    • Libin Melarcode says

      April 25, 2015 at 2:04 pm

      pls think if his opening cash balance is zero, so for returning balance to her he should have to borrow 800 then after the sale his counter cash will be rs1000,ie Rs. 200+ 800 so then if the counter cash is in exchange of fake note then he has to return this 1000 also so his gross loss will be 1800 ie, actual notes given to lady 800+goods worth 200 and the borrowed money 800..

      Reply
    • Ajay says

      July 4, 2015 at 3:09 am

      Initial Counter Value was 5000, as you mentioned and at the end it is 4200 plus 200 worth sales and 800 change. So, Total loss is 1800.

      Reply
    • Arun Agarwal says

      September 26, 2015 at 8:43 pm

      Very nice pictorial explanation for confused minds .

      Reply
  26. Radhakrishnan says

    August 27, 2014 at 11:10 pm

    The fake note has a 0value Once exchanged it has (-1000) – (The fake define the value of some one loss )

    So here, The1000 fake note have the value as (-1000)

    Reply
    • Ajay says

      July 4, 2015 at 3:12 am

      You are great. It is correct.

      Reply
  27. Kannan says

    August 6, 2014 at 5:48 pm

    All are confused with the answer Rs 1000.

    Let us consider the scenario in a different way.

    You are the first shopkeeper and your friend the second shopkeeper.

    Scenario 1: One day a woman comes to your shop and steal a product worth Rs 200. She also takes Rs 800 from your safe.

    Now you have lost Rs 1000 (Rs 200 Product and Rs 800 from the safe)

    Scenario 2: Now you went to your friend, the second shopkeeper and borrowed Rs 1000. In this case, you are not losing anything; you are just borrowing money from your friend, which is rightfully his money.

    Scenario 3: Later, your friend comes back and takes the 1000 Rs back from you.

    You lost Rs 1000 right.

    Therefore, the answer is Rs 1000

    There is no need to think about the fake note because its value is Rs 0.

    Visit my website: http://www.nucleation.in

    Reply
    • MOhnish says

      November 3, 2014 at 4:45 pm

      In scenario 3 , you freind takes the 1000 rs back from you means that you again have to pay 1000 rs from your pocket., which you wouldnt have to pay if that woman had to give a real note !! And the word borrowing would not have applied if the woman had to give a real note !!! Which means you cannot negate that 1000 rupess..So the correct answer is 2000 Rs.

      Reply
    • Shaleen Vashisht says

      March 18, 2015 at 12:08 pm

      scenario 2 is wrong- it isnt borrowing- it is exchange

      Reply
  28. karanpcrc says

    July 20, 2014 at 12:22 am

    this should help!

    Reply
  29. Guest says

    July 20, 2014 at 12:21 am

    this should help

    Reply
  30. Anvesh says

    July 7, 2014 at 4:52 am

    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)

    Reply
  31. integratedordering says

    May 9, 2014 at 1:22 pm

    Total loss is 1000

    http://integratedordering.com/

    Reply
  32. Shaheen says

    April 29, 2014 at 8:14 am

    1600 is the answer

    Reply
  33. Soheb Ganeriwala says

    April 13, 2014 at 2:07 pm

    #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.

    Reply
  34. SNAIR says

    April 6, 2014 at 4:29 am

    1000

    Reply
  35. udita says

    February 17, 2014 at 2:50 pm

    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

    Reply
  36. manya says

    February 15, 2014 at 9:16 am

    Answer is 1000

    Reply
  37. humanbeing0007 . says

    February 12, 2014 at 5:14 am

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

    Reply
  38. Amit says

    January 22, 2014 at 9:54 am

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

    Reply
  39. Devashish Datt Mamgain says

    January 19, 2014 at 6:12 am

    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

    Reply
  40. Nilesh Garg says

    January 14, 2014 at 5:46 pm

    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..

    Reply
    • Amol Dalvi says

      January 17, 2014 at 10:02 am

      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

      Reply
      • Nilesh Garg says

        June 23, 2014 at 12:22 pm

        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.

        Reply
  41. ssk says

    January 3, 2014 at 10:33 am

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

    Reply
  42. Gyani says

    November 27, 2013 at 7:59 am

    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.

    Reply
    • Sameer Ummer says

      January 23, 2014 at 7:22 pm

      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 🙂

      Reply
      • Muralikrishna says

        March 4, 2014 at 12:12 pm

        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

        Reply
  43. Chandrakant says

    October 7, 2013 at 4:48 am

    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

    Reply
    • ezhil says

      April 3, 2014 at 5:01 pm

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

      Reply
  44. suklal kale says

    September 30, 2013 at 3:44 pm

    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…..

    Reply
  45. asif says

    September 26, 2013 at 5:09 pm

    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

    Reply
  46. aditya pai says

    September 23, 2013 at 6:38 pm

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

    Reply
  47. Boopathy says

    September 7, 2013 at 5:21 pm

    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.

    Reply
  48. Syed Rehan Ahmad says

    September 1, 2013 at 4:59 pm

    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)

    Reply
    • Sameer Ummer says

      January 23, 2014 at 7:19 pm

      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 🙂

      Reply
      • osama-bin-laden says

        January 24, 2014 at 4:35 am

        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..

        Reply
        • Manoj Jain says

          April 16, 2016 at 12:19 am

          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.

          Reply
    • Sameer Ummer says

      January 23, 2014 at 8:00 pm

      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

      Reply
      • Sanjay says

        February 10, 2014 at 6:48 pm

        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

        Reply
        • Jasvanth says

          February 21, 2014 at 3:05 pm

          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..

          Reply
        • Renu goyal says

          June 24, 2015 at 6:46 pm

          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 .

          Reply
        • Manzoor Ahmed says

          June 26, 2016 at 7:47 pm

          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…

          Reply
  49. Sujit says

    August 31, 2013 at 1:49 pm

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

    Reply
    • kartik says

      February 28, 2014 at 2:45 pm

      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

      Reply
  50. Arslan Izaya says

    August 23, 2013 at 4:57 am

    1000

    Reply
    • A. Alikhani says

      July 6, 2014 at 9:38 pm

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

      Reply
  51. Anon says

    August 10, 2013 at 10:33 am

    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.

    Reply
    • saurabh says

      April 19, 2015 at 9:45 pm

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

      Reply
  52. arpit says

    August 6, 2013 at 7:53 am

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

    Reply
  53. Rishi Sehgal says

    August 5, 2013 at 10:17 pm

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

    Reply
  54. VEERARAGHAVAN J says

    July 26, 2013 at 6:25 am

    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/-

    Reply
    • ezhil says

      April 3, 2014 at 5:05 pm

      Orignal amount ll give tat second shop owner only

      Reply
  55. punzi says

    May 12, 2013 at 6:14 am

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

    Reply
    • manya says

      October 18, 2013 at 6:43 pm

      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

      Reply
  56. kulasekhar says

    May 8, 2013 at 4:36 pm

    1000

    Reply
    • vijayraja says

      May 28, 2013 at 12:52 am

      The correct anser is 1200

      Reply
      • puzzlersworld says

        May 28, 2013 at 3:27 am

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

        Reply
        • Pramod M Menon says

          June 10, 2013 at 10:06 am

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

          Reply
          • Obhay Rai says

            June 13, 2013 at 6:50 pm

            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

            December 19, 2013 at 10:38 pm

            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

            December 26, 2013 at 4:23 pm

            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

            December 27, 2013 at 10:22 am

            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

            January 9, 2014 at 5:29 am

            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

            January 23, 2014 at 7:26 pm

            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 says

            February 28, 2014 at 2:47 pm

            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

            January 23, 2014 at 8:10 pm

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

          • Rajesh says

            June 20, 2014 at 9:09 am

            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

            January 9, 2014 at 5:31 am

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

          • sujan says

            March 11, 2014 at 4:11 pm

            The above explanation is wrong here.

  57. Ganesh Kumar Balraj says

    May 7, 2013 at 5:47 pm

    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.

    Reply
    • Chandrakant says

      October 7, 2013 at 4:59 am

      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

      Reply
      • Karthikeyan V says

        February 20, 2014 at 8:59 am

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

        Reply
      • Yog says

        March 19, 2014 at 12:50 pm

        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.

        Reply
        • Anija says

          March 29, 2014 at 9:48 am

          then what about the goods worth 200 she tooked

          Reply
          • Yog says

            March 30, 2014 at 1:27 am

            That is the 200 in 200 + 800.

          • NP says

            September 3, 2014 at 2:29 pm

            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

            December 3, 2014 at 7:44 pm

            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

        April 13, 2014 at 2:06 pm

        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.

        Reply
      • Sahil Bangotra says

        November 12, 2014 at 11:08 am

        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

        Reply
      • Kinkar Roy says

        April 1, 2015 at 9:20 pm

        You are right

        Reply
      • nikhil says

        July 25, 2015 at 11:07 am

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

        Reply
      • Arvind Hindyar says

        September 2, 2015 at 3:33 pm

        you are from which school buddy?

        Reply
    • Pravin Purohit says

      March 16, 2017 at 1:41 pm

      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

      Reply

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