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The Lady, The Shopkeeper And A Fake Note - Find the Loss

Discussion in 'Quiz | Puzzles | Mathematics' started by Ankita Katdare, Oct 4, 2013.

  1. Ankita Katdare


    A friend asked me this question, the other day -

    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?

    The answers that people came up with were - Rs. 1000, Rs. 2000, Rs. 1800, Rs. 1200 and Rs. 800

    If you are going to reply with an answer, please provide a detailed solution.
  2. The loss is 1000.

    Since he sold 200rupees of goods and got original 200 from other shop keeper so there is no loss.

    Next comes he gave 800 away to the lady who deserves.

    But when the note is fake, he has to give back 1000. so I think answer is 1000.
  3. Kaustubh Katdare


    Most people believe that the answer is Rs. 1200. If you consider giving out an item worth Rs. 200 results into loss of Rs. 400 [you bought the item for Rs. 200; assuming that the selling price is equal to buying price].

    My answer would be Rs. 1000 too.
  4. Anoop Kumar

    Anoop Kumar Mentor

    Am I right here!!
    • Like Like x 3
  5. Alok mishra

    Alok mishra Apprentice

    If initially shopkeeper had 2000 in his pocket then after selling the product he would be having 2200 in his pocket ,when other shopkeeper got to know that the 1000 rs note was fake ,first shopkeeper had to return him 1000 ,now all that first shopkeeper got is 1200 rs. so, 2200-12000=1000 rs.
  6. Ankita Katdare


    A lot of people have confirmed the answer to be Rs. 1200.
    Because the cost of item sold is considered separately.
  7. Anoop Kumar

    Anoop Kumar Mentor

    I am considering sold Item value also . The table I given is clearly showing this.
    I know explaining this orally is difficult that's why I calculated on totally math based.
    #7 Anoop Kumar, Oct 4, 2013
    Last edited: Oct 5, 2013
  8. Kaustubh Katdare


    @ianoop - I read your chart and I think it still considers that if the shopkeeper 1 has given the item worth Rs. 200 to the lady, his loss is still Rs. 200. Now if you consider that the buying price = selling price; the shopkeeper 1 himself paid Rs. 200 from his pockets to stock that item in his shop. By not getting Rs. 200 after give it to the lady, his total loss is [ Rs. 200 (value of the item) + Rs. 200 (he paid from his pocket for stocking the item) ] = Rs. 400. In that case, the overall loss of the shopkeeper 1 would be Rs. 1200.

    However, like you showed in the chart; if we do not consider the transaction that happened before the lady entered the shop; the total loss is equal to Rs. 1000; as your table points.
  9. Kaustubh Katdare


    Write an explanation please :)
  10. Anoop Kumar

    Anoop Kumar Mentor

    In 1st transaction I am showing that lady gave 0 bucks to shopkeeper1 (As note is fake). and shopkeeper given the goods that is why in 1st transaction-
    Lady is +200, shopkeeper1 is with fake note (0 bucks) and -200 (value of goods).
    Here, the main confusion is goods, if we replace goods by a 200 bucks note then the whole thing will be clear.

    Lady exchanged her fake note: so lady got +1000
    Shopkeeper2 is in no loss no profit : +-0
    To equalize this shopkeeper1 must go into loss of total : -1000.
  11. total loss-200(product price)+1000(given to neighbor shopkeeper)=1200.
  12. Anil Jain

    Anil Jain Star

    I agree with those who says that loss is 1000/-

    actual intake -- 1000 /- (lady had given fake currency and next shop has given 1000 in change)
    Spend -- 1000/- lady (800/ - 200 goods), 1000/ - next shop

    Total loss - intake - spend

    = 1000/-

  13. zaveri

    zaveri Star

    so what is the final answer ?
  14. Ankita Katdare


    Unfortunately we don't have a final answer. Those who say the answer is 1000 or 1200, I fear, are making some unknown assumptions.

    Correct me if I am wrong.
  15. rahul69

    rahul69 Star

    This question is bit twisted, so that's why some people are confused,
    So lets modify the question to make it simple:
    • Shopkeeper of next shop gave Rs 1000 and then took back Rs 1000, so we can safely assume that he did nothing.
    • Lady gave a fake note which has zero value, so we can assume that lady gave nothing.
    So the new question statement becomes:
    "A Lady buys goods worth Rs 200 and shopkeeper returns Rs 800"
    So clearly the shopkeeper gave Lady 200 (goods) + 800 (cash)
    And hence the answer is 1000.
    Hope it clears all the doubts :)
  16. zaveri

    zaveri Star

    The answer is 1000
  17. asadhlc

    asadhlc Apprentice

    Loss is Rs 1800.

    Lets analyse the transaction from the instance the shopkeeper gets the change from the next shop !!!!!

    Rs. 1000/- worth of change (genuine money) he brings and from that .....

    Rs. 200/-.. shopkeeper keeps and it is his inflow of cash (A)
    Rs. 800/-.. the Lady takes as change and is shopkeeper's outflow of cash (B)

    Now comes the next door shop keeper and takes his genuine money back
    Here Rs. 1000/- is shopkeeper's again outflow of cash (C)

    So the net loss or outflow of cash is (B)+(C) which will be 800+1000 = 1800/-

    Asad :)
  18. durga

    durga Star

    1800 rs

    -for 0 rupees he received from lady the shop keeper paid her 800rs
    -he had to pay back the other shop keeper 1000rs
    -cost of item is 200rs negates the 200rs he kept for himself
  19. asadhlc

    asadhlc Apprentice

    Very good moderator ..... you are closing in !!!

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