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If you want discount sorting in product list page(category page)

1> First need to create discount attribute for products.

2> After creation that copy  app/code/core/Mage/Catalog/Model/Resource/Product/collection.php in local folder app/code/local/Mage/Catalog/Model/Resource/Product/collection.php

open the file find below bit of code around 1572

     if ($attribute == 'price' && $storeId != 0) {
            $this->addPriceData();
            $this->getSelect()->order("price_index.min_price {$dir}");

             return $this;
        }
after that Add below code

if ($attribute == 'discount') {
            //determine the discount percent value
            $this->addExpressionAttributeToSelect('discount', '(({{price}} - special_price) / {{price}})', array('price'));
            //sort by the discount percent value
            $sortDir = $dir;
            //in case you need to reverse the order so when you sort ascending you will see the most discounts first do this:
            //if not then remove the if-else statement below.
            if ($sortDir == self::SORT_ORDER_ASC) {
                $sortDir = self::SORT_ORDER_DESC;
            }
            else {
                $sortDir = self::SORT_ORDER_ASC;
            }
            $this->getSelect()->order(array('discount '.$sortDir));
            return $this;
        }


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