Remove Discount and Estimated shipping form Checkout page

To remove both Discount and Estimated shipping you need to edit checkout.xml file which is located at /app/design/frontend/base/default/layout/checkout.xml


go to line no: 89



<block type="checkout/cart_coupon" name="checkout.cart.coupon" as="coupon" template="checkout/cart/coupon.phtml"/>
                <block type="checkout/cart_shipping" name="checkout.cart.shipping" as="shipping" template="checkout/cart/shipping.phtml"/>
                <block type="checkout/cart_crosssell" name="checkout.cart.crosssell" as="crosssell" template="checkout/cart/crosssell.phtml"/>

       

comment out the highlighted portion like this


<!--
                <block type="checkout/cart_coupon" name="checkout.cart.coupon" as="coupon" template="checkout/cart/coupon.phtml"/>
                <block type="checkout/cart_shipping" name="checkout.cart.shipping" as="shipping" template="checkout/cart/shipping.phtml"/>

 -->


you are done. If still both the blocks appear clear cache. So finally your checkout page will look like this.