Magento-1 Product – How to Show Product Price on Home Page

I had to set the StoreId, not the websiteId. Just needed to choose a store belonging to the desired website:

$product = Mage::getModel('catalog/product') -> loadByAttribute('sku', $sku);
$product->setStoreId(1) -> setPrice($price1) ->save() ;
$product->setStoreId(9) -> setPrice($price9) ->save();

you can use catalog_product_load_after event to change the product price in view page.

  <catalog_product_load_after>
            <observers>
                <custom_checkout_observer>
                    <type>singleton</type>
                    <class>Custom_Custom_Model_Observer</class>
                    <method>loadaftercatalog</method>
                </custom_checkout_observer>
            </observers>
    </catalog_product_load_after>

public function loadaftercatalog($event) {
    $product = $event->getEvent()->getProduct();
    $originalprice = $product->getPrice();
    $customprice = $originalprice+20;
    $product->setPrice($customprice);
   }

}