To calculate August's cash disbursements for material purchases, we need to consider the purchases made in July and August and the payment terms.
Purchases in July: $60,000
Purchases in August: $70,000
Three-quarters of July's purchases are paid in July, which is (3/4) * $60,000 = $45,000.
One-fourth of July's purchases are paid in August with a 2% discount, which is (1/4) * $60,000 = $15,000. After the discount, the payment will be 98% of $15,000 = $14,700.
For August's purchases, three-quarters will be paid in August, which is (3/4) * $70,000 = $52,500.
So, August's cash disbursements for material purchases will be the sum of payments made in August for both July and August's purchases:
$45,000 (July) + $14,700 (discounted payment for July) + $52,500 (August) = $112,200.
The correct answer is not listed among the options provided. The correct amount for August's cash disbursements should be $112,200.