Final answer:
The cash paid by a company on June 24 for merchandise after returning part of it and taking an early payment discount is $8,754.25.
Step-by-step explanation:
The question involves calculating the cash paid by a company for merchandise it purchased. The company bought merchandise for $9,500 on June 15 with the terms 3/10, n/45. This means they could take a 3% discount if they paid within 10 days (early payment discount) and the net amount was due in 45 days. Since the company returned merchandise worth $475 on June 20, the total amount would now be $9,500 - $475 = $9,025. When the company pays the balance on June 24, it is within the 10-day window to take the 3% discount. Therefore, the calculation for the cash paid would be 97% of $9,025, which equals $8,754.25. Thus, the cash paid on June 24 is $8,754.25.