SOLUTION: An appliance store decreases the price of a​ 19-in. television set 26​% to a sale price of $ 461.39. What was the original​ price?

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Question 1091890: An appliance store decreases the price of a​ 19-in. television set 26​% to a sale price of $ 461.39. What was the original​ price?

Found 2 solutions by josgarithmetic, greenestamps:
Answer by josgarithmetic(39617)   (Show Source): You can put this solution on YOUR website!




p=623.5

Answer by greenestamps(13200)   (Show Source): You can put this solution on YOUR website!

Nearly always, problems involving percent increases and/or decreases are much easier to work if you think in terms of the percentage that remains after the increase or decrease, instead of in terms of the percentage of the increase or decrease.

If an amount is increased by 30%, it is 130% of the original amount (100%+30% = 130%).

If an amount is decreased by 30%, it is 70% of the original amount (100%-30% = 70%).

In your problem, the price was decreased by 26%, so the new price is 74% of the original price. Since you know the new price is $461.39,


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