A guy stole $100 bill from a shop’s cash register without anyone knowing. He came back into the shop 30 minutes later and bought items for $70, using the stolen $100 bill. He was given 30 dollars in change. How much did the shop lose?
30 dollars
70 dollars
100 dollars
130 dollars
170 dollars
200 dollars
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ANSWER:
To simply understand the answer let’s break the problem down in pieces. First he steals $100. So far, so easy.
-100
He returns to buy $70 worth of goods using the stolen $100. Here’s the first tricky part. He returns the $100 in exchange for $70 worth of product.
-100 + 100 – 70 = -70
Finally, he gets $30 in change. This is basically just money taken out of the register and given to him. Because no new money had entered the register, it is also a loss. Therefore the final equation gonna be like this:
-100 + 100 – 70 – 30 = – 100
As you can see, while $100 was stolen, it was returned and instead $70 worth of product was stolen as well as $30 in change that shouldn’t have been given. The answer is: The business lost $100.
