Shopkeeper and duplicate note

Level pending

A lady buys goods worth Rs. 200 from a shop (shopkeeper selling goods with zero profit) lady pays with a 1000 Rs note to the shopkeeper. He gets change from the next shop & keeps 200 for himself & returns 800 to the lady. After sometime the next shop owner returns the 1000 Rs. note saying it is fake & takes the money back. How much loss did the shopkeeper suffer?


The answer is 1000.

Ashish Virani by Ashish Virani , 26, India

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2 solutions

Let what the shopkeeper receives be + + and gives out as − - . Then the transactions are as follows .

Transaction ‾ Rs. ‾ Rs. ‾ Received from Lady + 0 Gives to Neighbour − 0 Received from Neighbour + 1000 Gives to Lady − 200 goods − 800 Return to Neighbour − 1000 Total + 1000 − 2000 Loss 1000 \begin{array} {lrrl} \underline{\text{Transaction}} & \underline{\text{Rs.}} & \underline{\text{Rs.}} & \\ \text{Received from Lady} & +0 & & \\ \text{Gives to Neighbour} & & -0 & \\ \text{Received from Neighbour} & +1000 & & \\ \text{Gives to Lady} & & -200 & \text{ goods} \\ & & -800 & \\ \text{Return to Neighbour} & & -1000 & \\ \hline \text{Total} & +1000 & -2000 & \\ \hline \text{Loss} & & \boxed{1000} & \end{array}

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Denzil Lewis
Feb 4, 2015

I think the correct answer here is Rs.1200 instead of Rs.1000.

While Rs.1000 is the loss incurred due to the fake note, the lady also bought goods worth Rs.200 with that same note. The shopkeeper thus lost an additional Rs.200 in revenue.

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