A firm with Rs.100 cr credit sales is looking to relax its credit policy such that its average collection period will increase from 21 days to 24 days which in turn will result in Rs.10 cr increase in sales, what will the the incremental change in receivables? (assume 360 days year and entire sales as credit sales)Rs. 1.5 crRs. 1 crRs. 2.5 crRs. 7.33 cr
Question
A firm with Rs.100 cr credit sales is looking to relax its credit policy such that its average collection period will increase from 21 days to 24 days which in turn will result in Rs.10 cr increase in sales, what will the the incremental change in receivables? (assume 360 days year and entire sales as credit sales)Rs. 1.5 crRs. 1 crRs. 2.5 crRs. 7.33 cr
Solution
To calculate the incremental change in receivables, we need to determine the increase in credit sales and then calculate the change in average receivables.
Step 1: Calculate the increase in credit sales: The firm wants to increase its average collection period from 21 days to 24 days, resulting in a 3-day increase. We can calculate the increase in credit sales using the formula:
Increase in credit sales = (Increase in collection period / Total collection period) * Total credit sales
Given: Increase in collection period = 3 days Total collection period = 21 days Total credit sales = Rs. 100 crore
Increase in credit sales = (3 / 21) * 100 crore = Rs. 14.29 crore
Step 2: Calculate the change in average receivables: To calculate the change in average receivables, we need to determine the average daily credit sales and then multiply it by the increase in collection period.
Average daily credit sales = Total credit sales / Total collection period
Average daily credit sales = 100 crore / 21 = Rs. 4.76 crore
Change in receivables = Average daily credit sales * Increase in collection period
Change in receivables = 4.76 crore * 3 = Rs. 14.29 crore
Therefore, the incremental change in receivables is Rs. 14.29 crore.
None of the given options (Rs. 1.5 cr, Rs. 1 cr, Rs. 2.5 cr, Rs. 7.33 cr) match the calculated value.
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