Final answer:
To achieve an ROI of 53.8% with average operating assets of $270,000, Largo Company needs a margin of 14.94%, calculated by first finding the Net Operating Income from the desired ROI and then determining the margin using the NOI in relation to sales revenue.
Step-by-step explanation:
To calculate the margin Largo Company needed to earn to achieve a Return on Investment (ROI) of 53.8%, one must first determine the Net Operating Income (NOI). ROI is calculated by dividing the NOI by the average operating assets, then multiplying by 100 to get a percentage. With this formula, the NOI can be found as follows:
ROI (%) = (NOI / Average Operating Assets) x 100
53.8% = (NOI / $270,000) x 100
NOI = ($270,000 x 53.8%) / 100
NOI = $145,260
Next, we take the NOI and divide it by the sales revenue to find the margin:
Margin (%) = (NOI / Sales) x 100
Margin (%) = ($145,260 / $972,000) x 100
Margin (%) = 14.94%
Therefore, the margin Largo Company needed to earn to achieve an ROI of 53.8% is 14.94%.