The bear rug has sales of $811,000. the cost of goods sold is equal to 63 percent of sales. the beginning accounts receivable balance is $41,000 and the ending accounts receivable balance is $38,000. how long on average does it take the firm to collect its receivables

The average collection period is 17.78 days.

Explanation:

In this question, we have to first compute the average receivable turnover ratio.  

The formula of the average receivable turnover ratio is shown below:

= Net credit sales ÷ Average accounts receivable

where,

Net credit sales are $811,000

And, the average accounts receivable equals to

= Beginning account receivable + ending accounts receivable ÷ 2

= $41,000 + $38,000 ÷ 2

= $39,500

So, the average receivable turnover ratio equals to

= $811,000 ÷ $39,500

= 20.53

Now, we calculate the average collection period, the formula is shown below

= Total Number of days in a year ÷ average receivable turnover ratio

= 365 ÷ 20.53

= 17.78 days.

Hence, the average collection period is 17.78 days.