FILE No.74Unsolved
An antiques dealer put a $100 vase on sale at "20% off". When it did not sell, the next day he raised the price tag by 10% from that sale price.
He tells customers, "I took 20% off and added 10%, so it's 10% cheaper than before." One customer who called the police thinks something is off.
How does the final price compare to the original $100?
If you get stuck, open the hints one at a time, in order.
What is the price after the discount?
10% of what number is the increase?
Compare the final price with $100.
How does the final price compare to the original $100?
Choose the answer closest to the truth.
12% cheaper
The answer is: 12% cheaper.
20% off: $100 x 0.8 = $80. Then 10% more: $80 x 1.1 = $88. That is $12 (12%) less than $100.
The 10% increase is taken from $80 (the sale price), which is $8, not from the original $100 (which would be $10).
People do -20% + 10% = -10%.
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