SOLUTION: My question: Two shops A and B sell the same brand of chocolate for the same price originally. On Valentine's Day, shop A increases the price by 30% and decreases by 30% afterwa

Algebra ->  Percentage-and-ratio-word-problems -> SOLUTION: My question: Two shops A and B sell the same brand of chocolate for the same price originally. On Valentine's Day, shop A increases the price by 30% and decreases by 30% afterwa      Log On


   

Question 1088354: My question:
Two shops A and B sell the same brand of chocolate for the same price originally. On Valentine's Day, shop A increases the price by 30% and decreases by 30% afterwards. Shop B increases the percentage by 40% on that day and decreases by 40% afterwards. Dickson claims that the prices of chocolate are still the same in the two shops after Valentines Day. Do you agree? Explain why.
Answer by josmiceli(19441) About Me  (Show Source):
You can put this solution on YOUR website!
Shop A:
Let p = the original price
+p+%2B+.3p+=+1.3p+ = increased price
+1.3p+-+.3%2A%281.3p%29+=+1.3p+-+.39p+
+1.3p+-+.39p+=+.91p+ = price after lowering
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Shop B:
+p+%2B+.4p+=+1.4p+ = increased price
1.4p+-+.4%2A%281.4p%29+=+1.4p+-+.56p+
+1.4p+-+.56p+=+.84p+ = price after lowering
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Final prices are different