Problem

The average selling price of a particular smartphone was $\$ 182$ in 2011 , down $21.5 \%$ from 2009 . What was the average selling price in 2009? In 2009, the average selling price was $\$$. (Round to the nearest dollar as needed.)

Solution

Step 1 :The problem is asking for the original price of the smartphone in 2009 before it decreased by 21.5% to $182 in 2011. To find the original price, we can use the formula for percentage decrease which is: Original Price = Final Price / (1 - Percentage Decrease).

Step 2 :In this case, the final price is $182 and the percentage decrease is 21.5% or 0.215 in decimal form.

Step 3 :Substituting the given values into the formula, we get: Original Price = 182 / (1 - 0.215).

Step 4 :Solving the equation, we get the original price as approximately 231.84713375796179.

Step 5 :Rounding to the nearest dollar as needed, we get the original price as $232.

Step 6 :Final Answer: In 2009, the average selling price was \(\boxed{232}\) dollars.

From Solvely APP
Source: https://solvelyapp.com/problems/17357/

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