Chapter 7, Problem 53SGR

To determine

Whether the jersey is free or not

Answer to Problem 53SGR

No

Explanation of Solution

Given:

Initial discount = 50%

Another discount = 50%

Calculation:

Let the initial price of the item is x

After the 1^st discount of 50%, new price will be

  $\begin{array}{l}=\frac{50}{100}\times x\\ =\frac{1}{2}x\end{array}$

After another discount of 50%, the new price will be

  $\begin{array}{l}=\frac{50}{100}\times \frac{1}{2}x\\ =\frac{1}{2}\times \frac{1}{2}x\\ =\frac{1}{4}x\end{array}$

Hence, the item will not be free and its final price will be 1/4^th of the given price