Question

From 2010 to 2012, the average selling price of tablets decreased by 20%. This percent reduction amounted in a decrease of $122. Find the average selling price of tablets in 2010 and in 2012.

Answer 1

Let the original price of tablets be represented by x.

The average selling price decreased by 20% (or 0.2).

The decrease now was calculated as $122. That means the figure 122 is 20% of x. Therefore, what we have is;

`\begin{gathered} \text{Original price=x} \\ \text{Decrease}=122 \\ \text{New price=x-122} \\ \text{Note that 20\% (0.2) is also 122, hence} \\ (20)/(100)=(122)/(x) \\ \text{Cross multiply and we'll have} \\ x=(122*100)/(20) \\ x=610 \\ \text{The original price in 2010 is \$610} \\ \text{If the price reduced by \$122 in 2012, then } \\ \text{The price in 2012 would be }610-122=488 \\ \end{gathered}`

The price in 2010 would be $610

The price in 2012 would be $488