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The original price for a pair of shoes was increased by 150%, and then this new price was decreased by 75%. By what percent must the current price be increased to return to the original price?

 

Just curious to see your solutions

 Sep 6, 2018
 #1
avatar+98196 
+1

Let P  be the original price

 

The new  price  is   P(1.5)(.25)  = .375 P

 

So....to return to the original price.....we must increase this new price by

 

  1 / .375  ≈  2.66 ≈  266%

 

 

cool cool cool

 Sep 6, 2018
edited by CPhill  Sep 6, 2018
 #2
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Assume the original price =$100

An increase of 150% means: 150/100 + 1 =2.50

S0, the original price of $100 x 2.50 =$250 - the new price after 150% increase. Remember that 100% increase will double the price from $100 to $200. So, 150% will increase the price to $250.

 

$250 x 25% =$62.50 - The new price after being discounted by 75%.

So, to go from $62.50 to $100, the percentage must go up by: $100/$62.50 =60% to get to the original price of $100, because $62.5 x 1.6 =$100.

 Sep 6, 2018

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