An item with an original price of d dollars has its price increased by x percent and then decreased by x percent.what is the power of x?

Question

Puzzling · Answer

An increase of x percent means you would multiply by (100+x)/100
A decrease of x percent means you would multiply by (100-x)/100

So the final price would be:
d(100+x)(100-x) / 100²
= d(100² - x²) / 100²
= d(1 - (x/100)²)

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