The price of a sofa is decreased by 25% to $420. What was its original price?

A $560

explanation

Let 𝑥 be the original price.
If the price of the sofa is decreased by 25% to $420, then: 75 % of 𝑥 = 420 ⇒ 0.75𝑥 = 420
⇒ 𝑥 = 420 ÷ 0.75 = 560

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