Help! I need to add together cells with a matching data validation

Hi there

Hope someone can help! I am trying to make a basic account sheet to categorise my finance transactions. I need to add together values that fall into the same cateogry. I.E. add together all expenses of the same cateogry. one column has a value and the next column has a category see attached sheet.

Thanks very much Vlady! Your a legend, just what I was looking for

Just tried it... , I need it to calculate all the Values in column D that have morgage or insurance next to them in colum E. Column F is not required in the calculation

Thanks very much vlady! works great