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In a boutique, items were put in a showcase, and each was assigned a price for January. Each month after that, the price was 10 percent less than the price for the previous month. What is the ratio of the price of an item in April to the price of the same item in January? Express your answer as a common fraction.

 Apr 10, 2020
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Let  the original price  = P

 

Every month, the price  of the item is just 90%  = .9  of  the  previous month

 

So........the price in April  =  P (.9)^4

 

So the ratio of the price of an item in April to  the price of that item in January  =

 

P(.9)^4

______  =    (.9)^4   = 6561 / 10000

    P

 

 

cool cool cool

 Apr 10, 2020
edited by CPhill  Apr 10, 2020

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