Competition problem — Algebra — Maths Olympiad Prep

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Algebra Difficulty 1.4 Junior Find the answer

Tom's Hat Shoppe increased all original prices by $25\%$ . Now the shoppe is having a sale where all prices are $20\%$ off these increased prices. Which statement best describes the sale price of an item?

Pick one

Solution

Let the original price of an item be $x$ . The shoppe originally increased this to $1.25x$ . The sale brings it down to $.8(1.25x)=x$ , which is the same as the original $\rightarrow \boxed{\text{E}}$

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