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(A)

45-day collection period implies all receivables outstanding from previous quarter are collected in the current quarter, and (90-45)/90 = 1/2 of current sales are collected.

Particular Q1 Q2 Q3 Q4
Beginning receivables 300 270 285 315
Sales 540 570 630 780
Total 840 840 915 1095
Less:
Cash Collection
Previous Period -300 -270 -285 -315
Current Quarter -270 -285 -315 -390
Ending Balnce 270 285 315 390

(B)

60-day collection period implies all receivables outstanding from previous quarter are collected in the current quarter, and (90-60)/90 = 1/3 of current sales are collected

Particular Q1 Q2 Q3 Q4
Beginning receivables 300 360 380 420
Sales 540 570 630 780
Total 840 930 1010 1200
Less:
Cash Collection
Previous Period -300 -360 -380 -420
Current Quarter -180 -190 -210 -260
Ending Balnce 360 380 420 520

(C)

30-day collection period implies all receivables outstanding from previous quarter are collected in the current quarter, and (90-30)/90 = 2/3 of current sales are collected

Particular Q1 Q2 Q3 Q4
Beginning receivables 300 180 190 210
Sales 540 570 630 780
Total 840 750 820 990
Less:
Cash Collection
Previous Period -300 -180 -190 -210
Current Quarter -360 -380 -420 -520
Ending Balnce 180 190 210 260
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