The phrase "a sum that includes a" is correct and usable in written English.
You can use it when discussing mathematical calculations or financial contexts where a total amount is being described that comprises various components.
Example: "The final invoice reflects a sum that includes a discount for early payment."
Alternatives: "a total that encompasses a" or "an amount that contains a".
In one, Commissioner of Internal Revenue v. Banks, No. 03-892, a man settled an employment discrimination case for $464,000, a sum that included a fee of $150,000 to his lawyer.
The United Kingdom -- that is, England, Wales, Scotland and Northern Ireland -- is officially valued at $8.8 trillion, a sum that includes all of its property and buildings, machinery, roads, bridges, planes, trains and automobiles.
This is the point in the year that a patient spends a total of $2,250 on drugs, a sum that includes out-of-pocket payments and what the plan has paid.
Trinity Mirror is understood to have set aside just under £10m to cover the costs of dealing with claims of phone hacking, a sum that includes the £4m settlement fund announced in July this year.
Immigrants' families say it took great effort to scrape together the thousands of dollars needed to send relatives to the United States, a sum that includes the fees charged by the people who help them sneak in.
The Center for Responsive Politics estimates that the total price tag for the 2014 election cycle will be at least $3.7 billion -- a sum that includes cash from individual contributors, dark money groups, party committees and political action committees.
Restoring it, however, cost $100,000, a sum that included conservation materials like an Abatron epoxy that helps solidify deteriorated wood.
Ahmed and Khalid had paid him two hundred rupees a night (about four dollars), Mr. Bakto told me, a sum that included the use of a heater and breakfast, which he had served himself at nine o'clock each morning.
A year ago, officials said the emirate's total debt burden was $80 billion — a sum that included both sovereign obligations and those of government-linked investment vehicles like Dubai World.
The kitchen ended up costing $100,000, a sum that included installing custom oak cabinets, laying refurbished terra-cotta tiles from Provence, fitting a stove into the old fireplace space and putting in a window on either side of it.
