A seller sells a hat for $10. A buyer buys this hat and gives $20 banknote to a seller. The seller does not have the change, he sends his son to change the $20 banknote at a neighbor's store. The boy brings back 2 banknotes of $10 and the seller gives to a buyer $10 of change. Later this day the neighbor comes and shows that the $20 banknote is fake, and requests his money back. A seller gives $20 back to the neighbor from his pocket. Calculate what is the total loss of a seller, considering the value of the hat as $10. Also explain how you calculated.

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Answer:

The total loss of the seller is $10

Step-by-step explanation:

The amount the seller sells the hat = $10

The amount the buyer gives the seller = $20 (fake)

The amount the boy gives to the buyer = $10

The amount the seller gives to the neighbor = $20

Therefore, the real amount the buyer gives to the seller = 0

Therefore, the total loss of the seller = The amount given out

∴ The total loss of the seller = The hat given to the buyer ($10) + $10 Given as change to the buyer + The $10 added to the balance $10 receives as change for the (fake) $20

∴ The total loss of the seller = $10 + $10 + $10 = $30

We have that the total loss of the seller  is mathematically given as

x=$30

Total Loss of seller

Generally the the real amount the buyer gives to the seller mathematically given as

B = 0

Therefore, the total loss of the seller = The amount output amount

The total loss of the seller = 10+ 10

Given as change to the buyer + The $10 added to the balance $10 receives as change for the  $20

Therefore,the total loss of the seller

x = 10 + 10 + 10

x= $30

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