Step 1 :Calculate the credit sales for each month. Credit sales are the total sales minus the cash sales. Cash sales are \(65\%\) of total sales, so credit sales are \(35\%\) of total sales.
Step 2 :For June: Credit sales = \(35\%\) of \$400,000 = \$140,000
Step 3 :For July: Credit sales = \(35\%\) of \$428,000 = \$149,800
Step 4 :Calculate the amount of credit sales that are uncollected at the end of July. For June sales, \(65\%\) are collected in the first month after the sale, so \(35\%\) are uncollected at the end of July. For July sales, \(15\%\) are collected in the month of sale and \(65\%\) are collected in the first month after the sale, so \(20\%\) are uncollected at the end of July.
Step 5 :Uncollected June sales = \(35\%\) of \$140,000 = \$49,000
Step 6 :Uncollected July sales = \(20\%\) of \$149,800 = \$29,960
Step 7 :Add these two amounts to find the total accounts receivable reported on the company's budgeted balance sheet as of July 31.
Step 8 :Total accounts receivable = \$49,000 + \$29,960 = \$78,960
Step 9 :\(\boxed{\text{So, the amount of accounts receivable reported on the company's budgeted balance sheet as of July 31 is }\$78,960}\)