Counterfeit Note Riddle: How Much Loss Did the Shopkeeper make?
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A lady buys groceries worth Rs.350 from a shop. (shopkeeper selling the goods with zero profit)
The lady gives him a 2000 rs note. The shopkeeper gets the change from the next shop, keeps 350 for himself and returns Rs.1650 to the lady.
Later the shopkeeper of the next shop comes with the Rs.2000 note saying “duplicate” and takes his money back.
“How much LOSS did the shopkeeper face ?”
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The answer is Rs.2000
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.350 (for goods) + Rs.1650 (for the change she received) = Rs.2000
Profit of the second shopkeeper = Rs.0 (as he got his money back)
So the loss of the shopkeeper is = 2000 + 0 = Rs.2000
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: Zero (as the note was a duplicate one)
From Second Shopkeeper: Rs.2000
What he gave
To Lady:- Rs.350 (goods) + Rs.1650 (change)
To second shopkeeper: Rs. 2000
So the loss = (350 + 1650 + 2000) – (2000) = Rs.2000