Concept Introduction:
Return on investment is a profitability ratio that represents the percentage return on the investment made. It is calculated by dividing the Net Income by the Average total assets. The formulas to calculate the ROI are as follows:
Or
Profit Margin Ratio:
Profit Margin Ratio is a profitability ratio that represents the percentage income earned on the sales. It is calculated by dividing the Net Income by the Sales. The formulas to calculate the Profit margin is as follows:
Asset Turnover Ratio:
Asset Turnover Ratio is an efficiency ratio that represents the sales earned on the average assets invested in the business. It is calculated by dividing the Sales by Average total assets. The formulas to calculate the Asset Turnover Ratio is as follows:
Residual Income (RI):
Residual Income is the income earned over and above the expected
Requirement-a:
To Calculate:
The missing amounts

Answer to Problem 15.18E
The missing amounts are as follows:
Division X | Division Y | Division Z | |
Revenues | $ 1,000,000 | $ 500,000 | $ 1,250,000 |
Operating Income | $ 120,000 | $ 60,000 | $ 100,000 |
Operating Assets | $ 500,000 | $ 300,000 | $ 625,000 |
Margin | 12% | 12% | 8% |
Turnover | 2 | 1 | 2 |
ROI | 24% | 20% | 16% |
Residual income | $ 60,000 | $ 24,000 | $ 25,000 |
Explanation of Solution
The missing amounts are calculated as follows;
Division X | Division Y | Division Z | |
Revenues (A) | $ 1,000,000 | $ 500,000 | $ 1,250,000 |
(500000*1) | (625000*2) | ||
Operating Income (B) | $ 120,000 | $ 60,000 | $ 100,000 |
(500000*12%) | |||
Operating Assets (C) | $ 500,000 | $ 300,000 | $ 625,000 |
(100000-25000)/12% | |||
Margin (B/A) | 12% | 12% | 8% |
Turnover (A/C) | 2 | 1 | 2 |
ROI (B/C) | 24% | 20% | 16% |
Residual income (B-C*12%) | $ 60,000 | $ 24,000 | $ 25,000 |
Concept Introduction:
Return on investment (ROI):
Return on investment is a profitability ratio that represents the percentage return on the investment made. It is calculated by dividing the Net Income by the Average total assets. The formulas to calculate the ROI are as follows:
Or
Profit Margin Ratio:
Profit Margin Ratio is a profitability ratio that represents the percentage income earned on the sales. It is calculated by dividing the Net Income by the Sales. The formulas to calculate the Profit margin is as follows:
Asset Turnover Ratio:
Asset Turnover Ratio is an efficiency ratio that represents the sales earned on the average assets invested in the business. It is calculated by dividing the Sales by Average total assets. The formulas to calculate the Asset Turnover Ratio is as follows:
Residual Income (RI):
Residual Income is the income earned over and above the expected rate of return on assets invested in the business. It is calculated by dividing the Sales by Average total assets. The formulas to calculate the Residual Income is as follows:
Requirement-b:
To Discuss:
The relative performance of each division

Answer to Problem 15.18E
The relative performance of each division is as follows:
Division X is earning the highest ROI and residual income and Division Z is earning the lowest ROI and residual income.
Explanation of Solution
The relative performance of each division is explained as follows:
Division X | Division Y | Division Z | |
Margin | 12% | 12% | 8% |
Turnover | 2 | 1 | 2 |
ROI | 24% | 20% | 16% |
Residual income | $ 60,000 | $ 24,000 | $ 25,000 |
Division X is earning the highest ROI and residual income and Division Z is earning the lowest ROI and residual income.
Concept Introduction:
Return on investment (ROI):
Return on investment is a profitability ratio that represents the percentage return on the investment made. It is calculated by dividing the Net Income by the Average total assets. The formulas to calculate the ROI are as follows:
Or
Profit Margin Ratio:
Profit Margin Ratio is a profitability ratio that represents the percentage income earned on the sales. It is calculated by dividing the Net Income by the Sales. The formulas to calculate the Profit margin is as follows:
Asset Turnover Ratio:
Asset Turnover Ratio is an efficiency ratio that represents the sales earned on the average assets invested in the business. It is calculated by dividing the Sales by Average total assets. The formulas to calculate the Asset Turnover Ratio is as follows:
Residual Income (RI):
Residual Income is the income earned over and above the expected rate of return on assets invested in the business. It is calculated by dividing the Sales by Average total assets. The formulas to calculate the Residual Income is as follows:
Requirement-c:
To Discuss:
The importance of the Residual Income In decision making

Answer to Problem 15.18E
Residual income provides the readymade indicator for the comparison to find out the most profitable investment option.
Explanation of Solution
The relative performance of each division is explained as follows:
Division X | Division Y | Division Z | |
Margin | 12% | 12% | 8% |
Turnover | 2 | 1 | 2 |
ROI | 24% | 20% | 16% |
Residual income | $ 60,000 | $ 24,000 | $ 25,000 |
Division X is earning the highest ROI and residual income and Division Z is earning the lowest ROI and residual income. Hence, Residual income provides the readymade indicator for the comparison to find out the most profitable investment option.
Want to see more full solutions like this?
Chapter 15 Solutions
Accounting: What the Numbers Mean
- I am trying to find the accurate solution to this general accounting problem with appropriate explanations.arrow_forwardI need help with this general accounting question using standard accounting techniques.arrow_forwardI am looking for a reliable way to solve this financial accounting problem using accurate principles.arrow_forward
- I need help with this general accounting problem using proper accounting guidelines.arrow_forwardPlease explain the solution to this general accounting problem using the correct accounting principles.arrow_forwardCan you help me solve this general accounting question using the correct accounting procedures?arrow_forward
- Horngren's Financial & Managerial Accounting: The Managerial Chapters, 8th Edition. E-M:9-14 Describing the balanced scorecard and identifying key performance indicators for each perspectiveConsider the following key performance indicators and classify each indicator according to the balanced scorecard perspective it addresses. Choose from the financial perspective, customer perspective, internal business perspective, and the learning and growth perspective. a.Number of customer complaintsb.Number of information system upgrades completedc.Residual incomed.New product development timee.Employee turnover ratef.Percentage of products with online help manualsg.Customer retentionh.Percentage of compensation based on performancei.Percentage of orders filled each weekj.Gross margin growthk.Number of new patentsl.Employee satisfaction ratingsm.Manufacturing cycle time (average length of production process)n.Earnings growtho.Average machine setup timep.Number of new customersq.Employee…arrow_forwardDo fast answer of this general accounting questionarrow_forwardPlease provide the solution to this general accounting question with accurate accounting calculations.arrow_forward
- AccountingAccountingISBN:9781337272094Author:WARREN, Carl S., Reeve, James M., Duchac, Jonathan E.Publisher:Cengage Learning,Accounting Information SystemsAccountingISBN:9781337619202Author:Hall, James A.Publisher:Cengage Learning,
- Horngren's Cost Accounting: A Managerial Emphasis...AccountingISBN:9780134475585Author:Srikant M. Datar, Madhav V. RajanPublisher:PEARSONIntermediate AccountingAccountingISBN:9781259722660Author:J. David Spiceland, Mark W. Nelson, Wayne M ThomasPublisher:McGraw-Hill EducationFinancial and Managerial AccountingAccountingISBN:9781259726705Author:John J Wild, Ken W. Shaw, Barbara Chiappetta Fundamental Accounting PrinciplesPublisher:McGraw-Hill Education





