Answer:
The correct answer is:
$149,250 (d.)
Step-by-step explanation:
First let us lay out the relevant information:
January sales:
cash sales = $40,000
credit sales = $140,000
collection on sales in the month of sale = 40%
in the month following sales = 45%
in the second month following sales = 15%
Note that these percentages are applied on credit sales alone, since cash sales have been paid already
Account receivable on January 1 = $66,000
November sales = $15,000
December sales = $51,000
Next, using the information, let us calculate the total receivable cash in January as follows:
From November sales
The amount $15,000 is the 15% remaining on total collectible sales from November sales, hence the whole of the $15,000 from November will be collected in January.
From December sales:
The amount $51,000 collectible from December sales comprises of the 45% collected in the month following sale (January), and the 15% to be collected in the second month following sale (February). As a result, the ratio of the amount from December sales to be collected in January and February is 45% : 15% respectively. Hence the $51,000 will be shared into a ratio of 45:15, with the 45% ratio collected in January. This is done as follows:
Ratio of amounts = 45:15 = 3:1 (January:February)
January amount = 3/4 of total amount; while February amount = 1/4 of total amount
Total amount = $51,000
Therefore amount collected in January from December sales:
= 3/4 × 51,000 = $38,250
From January Sales:
Cash sales = $40,000 (Note that cash sales has already been collected in cash)
Credit sales = $140,000 (40% of this, is collected in the month of sale)
Therefore, amount collected in January from the credit sales in January:
= 40% of $140,000 = 0.4 × 140,000 = $56,000
Therefore total amount collected in January from cash and credit sales
= 40,000 + 56,000 = $96,000
Finally, to get the total cash collected in January, we will add all the collectible amounts from sales in November to January
From November = $ 15,000
From December = $ 38,250
From January = $ 96,000
Total collectible cash = $ 149,250