MySQL – sum column value(s) based on row from the same table

I think you’re making this a bit more complicated than it needs to be.

SELECT
    ProductID,
    SUM(IF(PaymentMethod = 'Cash', Amount, 0)) AS 'Cash',
    -- snip
    SUM(Amount) AS Total
FROM
    Payments
WHERE
    SaleDate="2012-02-10"
GROUP BY
    ProductID