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Days sales in inventory is calculated by dividing the number of days in the year by the inventory turnover ratio; and days sales in receivables is calculated by dividing the number of days in the year by the receivables turnover ratio. However, to answer this question, it is not necessary to go beyond calculating the turnover ratios for the two years for each. If the turnover ratio increases, the number of days of sales must decrease. And if the turnover ratio decreases, the number of days of sales must increase. This is because the turnover ratios measure how many times inventory or accounts receivable "turn over" during a year's time -- for inventory, how many times it is completely sold and replaced with new inventory, and for accounts receivable, how many times the sales represented are completely paid off and replaced with new sales. If the number of times the inventory/accounts receivable turn over decrease, then the turnover is occurring more slowly. As a result, the number of days' sales in the asset balance must have increased. If the number of times the inventory/accounts receivable turn over increase, then the turnover is occurring more rapidly. As a result, the number of days' sales in the asset balance must have decreased. Note that we do not have enough information to use the average balances of accounts receivable and inventory for two years of calculations, so we will have to use the year-end amounts as given in the question for comparing the turnover ratios for the two years. The inventory turnover ratio is cost of goods sold divided by average inventory (or here, year-end inventory). The accounts receivable turnover ratio is sales divided by average accounts receivable (here, year-end accounts receivable).
Days sales in inventory is calculated by dividing the number of days in the year by the inventory turnover ratio; and days sales in receivables is calculated by dividing the number of days in the year by the receivables turnover ratio. However, to answer this question, it is not necessary to go beyond calculating the turnover ratios for the two years for each. If the turnover ratio increases, the number of days of sales must decrease. And if the turnover ratio decreases, the number of days of sales must increase. This is because the turnover ratios measure how many times inventory or accounts receivable "turn over" during a year's time -- for inventory, how many times it is completely sold and replaced with new inventory, and for accounts receivable, how many times the sales represented are completely paid off and replaced with new sales. If the number of times the inventory/accounts receivable turn over decrease, then the turnover is occurring more slowly. As a result, the number of days' sales in the asset balance must have increased. If the number of times the inventory/accounts receivable turn over increase, then the turnover is occurring more rapidly. As a result, the number of days' sales in the asset balance must have decreased. Note that we do not have enough information to use the average balances of accounts receivable and inventory for two years of calculations, so we will have to use the year-end amounts as given in the question for comparing the turnover ratios for the two years. The inventory turnover ratio is cost of goods sold divided by average inventory (or here, year-end inventory). The accounts receivable turnover ratio is sales divided by average accounts receivable (here, year-end accounts receivable).
Days sales in inventory is calculated by dividing the number of days in the year by the inventory turnover ratio; and days sales in receivables is calculated by dividing the number of days in the year by the receivables turnover ratio. However, to answer this question, it is not necessary to go beyond calculating the turnover ratios for the two years for each. If the turnover ratio increases, the number of days of sales must decrease. And if the turnover ratio decreases, the number of days of sales must increase. This is because the turnover ratios measure how many times inventory or accounts receivable "turn over" during a year's time -- for inventory, how many times it is completely sold and replaced with new inventory, and for accounts receivable, how many times the sales represented are completely paid off and replaced with new sales. If the number of times the inventory/accounts receivable turn over decrease, then the turnover is occurring more slowly. As a result, the number of days' sales in the asset balance must have increased. If the number of times the inventory/accounts receivable turn over increase, then the turnover is occurring more rapidly. As a result, the number of days' sales in the asset balance must have decreased. Note that we do not have enough information to use the average balances of accounts receivable and inventory for two years of calculations, so we will have to use the year-end amounts as given in the question for comparing the turnover ratios for the two years. The inventory turnover ratio is cost of goods sold divided by average inventory (or here, year-end inventory). The accounts receivable turnover ratio is sales divided by average accounts receivable (here, year-end accounts receivable).
Days sales in inventory is calculated by dividing the number of days in the year by the inventory turnover ratio; and days sales in receivables is calculated by dividing the number of days in the year by the receivables turnover ratio. However, to answer this question, it is not necessary to go beyond calculating the turnover ratios for the two years for each. If the turnover ratio increases, the number of days of sales must decrease. And if the turnover ratio decreases, the number of days of sales must increase. This is because the turnover ratios measure how many times inventory or accounts receivable "turn over" during a year's time -- for inventory, how many times it is completely sold and replaced with new inventory, and for accounts receivable, how many times the sales represented are completely paid off and replaced with new sales. If the number of times the inventory/accounts receivable turn over decrease, then the turnover is occurring more slowly. As a result, the number of days' sales in the asset balance must have increased. If the number of times the inventory/accounts receivable turn over increase, then the turnover is occurring more rapidly. As a result, the number of days' sales in the asset balance must have decreased. Note that we do not have enough information to use the average balances of accounts receivable and inventory for two years of calculations, so we will have to use the year-end amounts as given in the question for comparing the turnover ratios for the two years. The inventory turnover ratio is cost of goods sold divided by average inventory (or here, year-end inventory). So the inventory turnover ratio for the prior year is 6 ÷ 4, which equals 1.5. The inventory turnover ratio for the current year is 7 ÷ 5, or 1.4, which is a decrease. Therefore, the number of days of sales in inventory must have increased. The accounts receivable turnover ratio is sales divided by average accounts receivable (here, year-end accounts receivable). The accounts receivable turnover ratio for the prior year is 10 ÷ 3, or 3.33. The accounts receivable turnover ratio for the current year is 11 ÷ 4, or 2.75. The accounts receivable turnover ratio has decreased, so the number of days of sales in inventory must have increased.