Final Price After Discount and Markup Comparison

A store is having a sale where all items are marked down by 20%.

Let the original price of an item be represented as $P$. After applying the discount, the new sale price can be calculated as follows:

$Sale\backslash ,\; Price\; =\; P\; -\; (0.20\; imes\; P)\; =\; 0.80P$

After the sale, the store decides to increase the sale price of the item by 25% to promote it further. The final price of the item can then be expressed as:

$Final\backslash ,\; Price\; =\; Sale\backslash ,\; Price\; +\; (0.25\; imes\; Sale\backslash ,\; Price)\; =\; 1.25\; imes\; Sale\backslash ,\; Price\; =\; 1.25\; imes\; 0.80P$

Now, compare the final price of the item to the original price $P$.