A business has an inventory turnover of 5 times, average inventory valued at $54 000, and markup is at 33 1/3 %. What is the value of sales?

The formula for inventory turnover is:

$$\text{Inventory Turnover} = \frac{\text{Cost of Goods Sold}}{\text{Average Inventory}}$$

Given Inventory Turnover = 5 times and Average Inventory = \54,000. $$5 = \frac{\text{Cost of Goods Sold}}{\54,000}$$\text{Cost of Goods Sold} = 5 \times $54,000$$\text{Cost of Goods Sold} = $270,000$$

The markup is $33 \frac{1}{3} \%$.

$$33 \frac{1}{3} \% = \frac{100}{3} \% = \frac{100}{3} \times \frac{1}{100} = \frac{1}{3}$$

This means the markup is $\frac{1}{3}$ of the Cost of Goods Sold.

Sales are calculated as Cost of Goods Sold plus the Markup Amount.

$$\text{Sales} = \text{Cost of Goods Sold} + \text{Markup Amount}$$

Since the markup is $\frac{1}{3}$ of the Cost of Goods Sold:

$$\text{Markup Amount} = \text{Cost of Goods Sold} \times \frac{1}{3}$$

$\text{Markup Amount} = \$270,000 \times \frac{1}{3}$ $\text{Markup Amount} = \$90,000$ Now, add the markup amount to the Cost of Goods Sold to find the sales value: $\text{Sales} = \$270,000 + \$90,000$ $\text{Sales} = \$360,000$

Comparing this to the options, the correct option is D.

The final answer is $\boxed{\text{D}}$