Normal Ratio= Ratio equal to 1
Negative Ratio= Ratio less than 1
Balanced Ratio= Ratio greater than 1
Normal Ratio= Ratio equal to 1
Negative Ratio= Ratio less than 1
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The income statement for financial ratio analysis, analyzing the liquidity ratios, the current ratio, the quick ratio, analyzing the asset management ratios accounts receivable, receivables turnover, average collection period, inventory, fixed assets, total assets, inventory turnover ratio, fixed asset turnover, total asset turnover, analyzing the debt management ratios, debt-to-asset ratio, times interest earned ratio, fixed charge coverage, analyzing the profitability ratios, net profit margin, return on assets, return on equity, financial ratio analysis of xyz corporation.
While it may be more fun to work on marketing efforts, the financial management of a firm is a crucial aspect of owning a business. Financial ratios help break down complex financial information into key details and relationships. Financial ratio analysis involves studying these ratios to learn about the company's financial health.
Here are a few of the most important financial ratios for business owners to learn, what they tell you about the company's financial statements, and how to use them.
XYZ, Inc. Balance Sheet (in millions of $) | ||
---|---|---|
2022 | 2023 | |
Cash | 84 | 98 |
Accounts Receivable | 165 | 188 |
Inventory | 393 | 422 |
Total Current Assets | 642 | 708 |
Accounts Payable | 312 | 344 |
Notes Payable (<1 Year) | 231 | 196 |
Total Current Liabilities | 543 | 540 |
Long-Term Debt | 531 | 457 |
Total Liabilities | 1,074 | 997 |
Owner's Equity | 500 | 550 |
Retained Earnings | 1,799 | 2,041 |
Total Owner's Equity | 2,299 | 2,591 |
Total Liabilities and Equity | 3,373 | 3,588 |
Here is the balance sheet we are going to use for our financial ratio tutorial. You will notice there are two years of data for this company so we can do a time-series (or trend) analysis and see how the firm is doing across time.
XYZ, Inc. Income Statements (in millions of $) | ||
---|---|---|
2022 | 2023 | |
Sales | 2,311 | 2,872 |
Cost of Goods Sold | 1,344 | 1,685 |
Gross Profit | 967 | 1,187 |
Depreciation | 691 | 785 |
Earnings Before Interest & Taxes | 276 | 402 |
Interest | 141 | 120 |
Earnings Before Taxes | 135 | 282 |
Net Income (Profit) | 89.1 | 186.1 |
Here is the complete income statement for the firm for which we are doing financial ratio analysis. We are doing two years of financial ratio analysis for the firm so we can compare them.
Refer back to the income statement and balance sheet as you work through the tutorial.
The first ratios to use to start getting a financial picture of your firm measure your liquidity, or your ability to convert your current assets to cash quickly. They are two of the 13 ratios. Let's look at the current ratio and the quick (acid-test) ratio .
The current ratio measures how many times you can cover your current liabilities. The quick ratio measures how many times you can cover your current liabilities without selling any inventory and so is a more stringent measure of liquidity.
Remember that we are doing a time series analysis, so we will be calculating the ratios for each year.
Current Ratio : For 2022, take the Total Current Assets and divide them by the Total Current Liabilities. You will have: Current Ratio = 642/543 = 1.18X. This means that the company can pay for its current liabilities 1.18 times over. Practice calculating the current ratio for 2023.
Your answer for 2023 should be 1.31X. A quick analysis of the current ratio will tell you that the company's liquidity has gotten just a little bit better between 2022 and 2023 since it rose from 1.18X to 1.31X.
Quick Ratio : In order to calculate the quick ratio, take the Total Current Ratio for 2022 and subtract out Inventory. Divide the result by Total Current Liabilities. You will have: Quick Ratio = (642-393)/543 = 0.46X. For 2023, the answer is 0.52X.
Like the current ratio, the quick ratio is rising and is a little better in 2023 than in 2022. The firm's liquidity is getting a little better. The problem for this company, however, is that they have to sell inventory to pay their short-term liabilities and that is not a good position for any firm to be in. This is true in both 2022 and 2023.
This firm has two sources of current liabilities: accounts payable and notes payable. They have bills that they owe to their suppliers (accounts payable) plus they apparently have a bank loan or a loan from some alternative source of financing. We don't know how often they have to make a payment on the note.
Asset management ratios are the next group of financial ratios that should be analyzed. They tell the business owner how efficiently they employ their assets to generate sales. Assume all sales are on credit.
A receivables turnover of 14X in 2022 means that all accounts receivable are cleaned up (paid off) 14 times during the 2022 year. For 2023, the receivables turnover is 15.28X. Look at 2022 and 2023 Sales in The Income Statement and Accounts Receivable in The Balance Sheet.
The receivables turnover is rising from 2022 to 2023. We can't tell if this is good or bad. We would really need to know what type of industry this firm is in and get some industry data to compare to.
Customers paying off receivables is, of course, good. But, if the receivables turnover is way above the industry's, then the firm's credit policy may be too restrictive.
The average collection period is also about accounts receivable. It is the number of days, on average, that it takes a firm's customers to pay their credit accounts. Together with receivables turnover, the average collection helps the firm develop its credit and collections policy.
From 2022 to 2023, the average collection period is dropping. In other words, customers are paying their bills more quickly. Compare that to the receivables turnover ratio. Receivables turnover is rising and the average collection period is falling.
This makes sense because customers are paying their bills faster. The company needs to compare these two ratios to industry averages. In addition, the company should take a look at its credit and collections policies to be sure they are not too restrictive. Take a look at the image above and you can see where the numbers came from on the balance sheets and income statements.
XYZ, Inc. Condensed Balance Sheet (in millions of $) | ||
---|---|---|
2022 | 2023 | |
Cash | 84 | 98 |
Accounts receivable | 165 | 188 |
Inventory | 393 | 422 |
Total Current Assets | 642 | 708 |
Net Plant and Equipment | 2,731 | 2,880 |
Total Assets | 3,373 | 3,588 |
2,311 | 2,872 |
Along with the accounts receivable ratios that we analyzed above, we also have to analyze how efficiently we generate sales with our other assets: inventory, plant and equipment, and our total asset base.
The inventory turnover ratio is one of the most important ratios a business owner can calculate and analyze. If your business sells products as opposed to services, then inventory is an important part of your equation for success.
Inventory Turnover = Sales/Inventory
If your inventory turnover is rising, that means you are selling your products faster. If it is falling, you are in danger of holding obsolete inventory. A business owner has to find the optimal inventory turnover ratio where the ratio is not too high and there are no stockouts or too low where there is obsolete money. Both are costly to the firm.
For this company, their inventory turnover ratio for 2022 is:
Inventory Turnover Ratio = Sales/Inventory = 2,311/393 = 5.9X
This means that this company completely sells and replaces its inventory 5.9 times every year. In 2023, the inventory turnover ratio is 6.8X. The firm's inventory turnover is rising. This is good in that they are selling more products. The business owner should compare the inventory turnover with the inventory turnover ratio of other firms in the same industry.
The fixed asset turnover ratio analyzes how well a business uses its plant and equipment to generate sales. A business firm does not want to have either too little or too much plant and equipment. For this firm for 2022:
Fixed Asset Turnover = Sales/Fixed Assets = 2,311/2,731 = 0.85X
For 2023, the fixed asset turnover is 1.00. The fixed asset turnover ratio is dragging down this company. They are not using their plant and equipment efficiently to generate sales as, in both years, fixed asset turnover is very low.
The total asset turnover ratio sums up all the other asset management ratios. If there are problems with any of the other total assets, it will show up here, in the total asset turnover ratio.
Total Asset Turnover = Sales/Total Asset Turnover = Sales/Total Assets = 2,311/3,373 = 0.69X for 2022. For 2023, the total asset turnover is 0.80. The total asset turnover ratio is somewhat concerning since it was not even 1X for either year.
This means that it was not very efficient. In other words, the total asset base was not very efficient in generating sales for this firm in 2022 or 2023. Why?
It seems that most of the problem lies in the firm's fixed assets. They have too much plant and equipment for their level of sales. They either need to find a way to increase their sales or sell off some of their plant and equipment. The fixed asset turnover ratio is dragging down the total asset turnover ratio and the firm's asset management in general.
There are three debt management ratios that help a business owner evaluate the company in light of its asset base and earning power. Those ratios are the debt-to-asset ratio, the times interest earned ratio , and the fixed charge coverage ratios. Other debt management ratios exist, but these help give business owners the first look at the debt position of the company and the prudence of that debt position.
The first debt ratio that is important for the business owner to understand is the debt-to-asset ratio ; in other words, how much of the total asset base of the firm is financed using debt financing. For example. the debt-to-asset ratio for 2022 is:
Total Liabilities/Total Assets = $1,074/3,373 = 31.8%. This means that 31.8% of the firm's assets are financed with debt. In 2023, the debt ratio is 27.8%. In 2023, the business is using more equity financing than debt financing to operate the company.
We don't know if this is good or bad since we do not know the debt-to-asset ratio for firms in this company's industry. However, we do know that the company has a problem with its fixed asset ratio which may be affecting the debt-to-asset ratio.
The times interest earned ratio tells a company how many times over a firm can pay the interest that it owes. Usually, the more times a firm can pay its interest expense the better. The times interest earned ratio for this firm for 2022 is:
The times interest earned ratio is very low in 2022 but better in 2023. This is because the debt-to-asset ratio dropped in 2023.
The fixed charge coverage ratio is very helpful for any company that has any fixed expenses they have to pay. One fixed charge (expense) is interest payments on debt, but that is covered by the times interest earned ratio.
Another fixed charge would be lease payments if the company leases any equipment, a building, land, or anything of that nature. Larger companies have other fixed charges which can be taken into account.
In both 2022 and 2023 for the company in our example, its only fixed charge is interest payments. So, the fixed charge coverage ratio and the times interest earned ratio would be exactly the same for each year for each ratio.
The last group of financial ratios that business owners usually tackle are the profitability ratios as they are the summary ratios of the 13 ratio group. They tell the business firm how they are doing on cost control, efficient use of assets, and debt management, which are three crucial areas of the business.
The net profit margin measures how much each dollar of sales contributes to profit and how much is used to pay expenses. For example, if a company has a net profit margin of 5%, this means that 5 cents of every sales dollar it takes in goes to profit and 95 cents goes to expenses. For 2022, here is XYZ, Inc.'s net profit margin:
Net Profit Margin = Net Income/Sales Revenue = 89.1/2,311 = 3.9%
For 2023, the net profit margin is 6.5%, so there was quite an increase in their net profit margin. You can see that their sales took quite a jump but their cost of goods sold rose. It is the best of both worlds when sales rise and costs fall. Bear in mind: The company can still have problems even if this is the case.
The return on assets ratio, also called return on investment , relates to the firm's asset base and what kind of return they are getting on their investment in their assets. Look at the total asset turnover ratio and the return on asset ratio together. If total asset turnover is low, the return on assets is going to be low because the company is not efficiently using its assets.
Another way to look at the return on assets is in the context of the Dupont method of financial analysis. This method of analysis shows you how to look at the return on assets in the context of both the net profit margin and the total asset turnover ratio.
For 2023, the ROA is 5.2%. The increased return on assets in 2023 reflects the increased sales and much higher net income for that year.
The return on equity ratio is the one of most interest to the shareholders or investors in the firm. This ratio tells the business owner and the investors how much income per dollar of their investment the business is earning. This ratio can also be analyzed by using the Dupont method of financial ratio analysis. The company's return on equity for 2022 was:
Return on Equity = Net Income/Shareholder's Equity = 3.9%
For 2023, the return on equity was 7.2%. One reason for the increased return on equity was the increase in net income. When analyzing the return on equity ratio, the business owner also has to take into consideration how much of the firm is financed using debt and how much of the firm is financed using equity.
Summary of Financial Ratios for XYC, Inc. | ||
---|---|---|
Ratio | 2022 | 2023 |
Current Ratio | 1.18 | 1.31 |
Quick Ratio | 0.46 | 0.52 |
Receivables Turnover | 14 | 15.2 |
Average Collection Period | 25.7 days | 23.5 days |
Inventory Turnover Ratio | 5.9 | 6.8 |
Fixed Asset Turnover Ratio | 0.85 | 1 |
Total Asset Turnover Ratio | 0.69 | 0.80 |
Debt-to-Asset Ratio | 31.8 | 27.8 |
Times Interest Earned Ratio | 1.96 | 3.35 |
Fixed Charge Coverage Ratio | 1.96 | 3.35 |
Net Profit Margin | 3.9 | 6.5 |
Return on Assets | 2.6 | 5.2 |
Return on Equity | 3.9 | 7.2 |
Now we have a summary of all 13 financial ratios for XYZ Corporation. The first thing that jumps out is the low liquidity of the company. We can look at the current and quick ratios for 2022 and 2023 and see that the liquidity is slightly increasing between 2022 and 2023, but it is still very low.
By looking at the quick ratio for both years, we can see that this company has to sell inventory in order to pay off short-term debt. The company does have short-term debt: accounts payable and notes payable, and we don't know when the notes payable will come due.
Let's move on to the asset management ratios. We can see that the firm's credit and collections policies might be a little restrictive by looking at the high receivable turnover and low average collection period. Customers must pay this company rapidly—perhaps too rapidly. There is nothing particularly remarkable about the inventory turnover ratio, but the fixed asset turnover ratio is remarkable.
The fixed asset turnover ratio measures the company's ability to generate sales from its fixed assets or plant and equipment. This ratio is very low for both 2022 and 2023. This means that XYZ has a lot of plant and equipment that is unproductive.
It is not being used efficiently to generate sales for the company. In addition, the company has to service the plant and equipment, pay for breakdowns, and perhaps pay interest on loans to buy it through long-term debt.
It seems that a very low fixed asset turnover ratio might be a major source of problems for XYZ. The company should sell some of this unproductive plant and equipment, keeping only what is absolutely necessary to produce their product.
The low fixed asset turnover ratio is dragging down total asset turnover. If you follow this analysis through, you will see that it is also substantially lowering this firm's return on assets profitability ratio.
With this firm, it is hard to analyze the company's debt management ratios without industry data. We don't know if XYZ is a manufacturing firm or a different type of firm.
As a result, analyzing the debt-to-asset ratio is difficult. What we can see, however, is that the company is financed more with shareholder funds (equity) than it is with debt as the debt-to-asset ratio for both years is under 50% and dropping.
This fact means that the return on equity profitability ratio will be lower than if the firm was financed more with debt than with equity. On the other hand, the risk of bankruptcy will also be lower.
Unfortunately, you can see from the times interest earned ratio that the company does not have enough liquidity to be comfortable servicing its debt. The company's costs are high and liquidity is low. Fortunately, the company's net profit margin is increasing because their sales are increasing.
Hopefully, this is a trend that will continue. Return on Assets is impacted negatively due to the low fixed asset turnover ratio and, to some extent, by the receivables ratios. Return on equity is increasing from 2022 to 2023, which will make investors happy.
As you can see, it is possible to do a cursory financial ratio analysis of a business firm with only 13 financial ratios, even though ratio analysis has inherent limitations.
Julie Dahlquist, Rainford Knight. " Principles of Finance: 6.2 Operating Efficiency Ratios ." OpenStax.
U.S. Small Business Administration. " Calculate & Analyze Your Financial Ratios ," Pages 2, 4.
U.S. Small Business Administration. " Calculate & Analyze Your Financial Ratios ," Pages 3, 6.
Julie Dahlquist, Rainford Knight. " Principles of Finance: 6.4 Solvency Ratios ." OpenStax.
Nasdaq. " Fixed-Charge Coverage Ratio ."
U.S. Small Business Administration. " Calculate & Analyze Your Financial Ratios ," Pages 3, 5.
Julie Dahlquist, Rainford Knight. " Principles of Finance: 6.6 Profitability Ratios and the DuPont Method ." OpenStax.
Here is a compilation of top thirteen accounting problems on ratio analysis with its relevant solutions.
The following is the Balance Sheet of a company as on 31st March:
The current ratio is a critical liquidity ratio utilized extensively by banks and other financing institutions while extending loans to businesses. “How to improve the current ratio?” is a general question that keeps hitting the entrepreneur’s mind now and then. For improving the current ratio, the management needs to focus on various strategies, including its current liabilities and assets, which are not one-time activities. The company has to monitor it throughout the year.
The current ratio is a figure that results from dividing current assets by the current liabilities. This figure is important because it measures the liquidity stand of a firm. Normally, the assumption is that the higher the ratio, the higher is the liquidity, and vice versa. It would be unfair to conclude the liquidity based on the ratio. Without further knowing what makes this ratio, it isn’t easy to form an opinion. We can understand it better with the help of the following situation:
Faster conversion cycle of debtors or accounts receivables, pay off current liabilities, sell-off unproductive assets.
With the help of the above example, let us understand better, a current ratio of 1:1 is not sufficient because all the current assets are not readily convertible into cash. There is always a requirement for a cushion over and above 1. This cushion is technically called “Margin of Safety.” In other words, current assets over and above the current liabilities are the margin of safety. We need marginal current assets simply as all the current assets can quickly liquidate to cash.
Refer to CURRENT RATIO for details.
Faster rolling of money via debtors will keep the current ratio in control. At least, the ratio will show the correct picture if the debtors are liquid. A constant follow-up with the debtors can improve the collections from them. The payment terms should be clear in the first dealing itself, and the negotiated credit period should be as low as possible.
Also Read: How to Reduce Current Ratio and Why?
Not only does the current ratio depend on current assets, but it is also equally dependent on the current liability, which is the denominator. They should pay off as often and as early as possible. It would decrease the level of current liabilities and, therefore, improve the current ratio. Early payments to creditors can save interest costs and earn discounts, directly impacting the firm’s profits.
The cash level can also increase by selling unused fixed assets. Otherwise, the money unnecessarily gets blocked into them, and idle cash accrues interest costs.
When the current assets are financed by equity rather than the creditors, the level of current assets will increase with current liabilities remaining the same. Consequently, this exercise will improve the current ratio. Considering the improvement of the current ratio, drawings are not advisable. It is because drawings would reduce capital investment in the current assets. And therefore, the level of current liabilities will increase to finance the current asset. All this directly impacts the current ratio. In essence, owners’ funds, i.e., capital and reserves, and surpluses should remain invested in the firm to balance the current ratio.
First of all, the firm’s management should always try to cut down on challenging cash levels and keep the money in bank accounts. The sweeping facility should be available in the bank accounts, which almost every bank and financial institution provide. Sweeping is a facility by which the excess funds from the current account are transferred to another account that fetches interest on that fund. At the same time, these funds are available to use when required.
Also Read: Current Ratio – Meaning, Formula, Calculation, and Interpretation
Our conversation above is mainly focusing on analyzing and improving the current ratio. Normally, the rule for this ratio is “higher the better.” It would be pretty interesting to know that in certain situations, it is advisable to reduce the current ratio.
Let’s check out Why and How to Reduce Current Ratio?
Quiz on How to Analyze and Improve Current Ratio?
Your answer:
Correct answer:
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Sanjay Borad, Founder of eFinanceManagement, is a Management Consultant with 7 years of MNC experience and 11 years in Consultancy. He caters to clients with turnovers from 200 Million to 12,000 Million, including listed entities, and has vast industry experience in over 20 sectors. Additionally, he serves as a visiting faculty for Finance and Costing in MBA Colleges and CA, CMA Coaching Classes.
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Thank you for helping me in understanding more about reducing current ratio.
You are most welcomed.
I want to analyze and improve the current ratio. This article is really helpful and very easy to understand. This is a very helpful site. Thanks for sharing this article.
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The current ratio is a metric used by the finance industry to assess a company's short-term liquidity . It reflects a company's ability to generate enough cash to pay off all debts should they become due at the same time. While this scenario is highly unlikely, the ability of a business to liquidate assets quickly to meet obligations is indicative of its overall financial health.
The current ratio, also known as a liquidity ratio, is a simple concept that requires only two pieces of data to compute: the total current assets and the total current liabilities .
Current assets include only those assets that take the form of cash or cash equivalents , such as stocks or other marketable securities that can be liquidated quickly. Current liabilities consist of only those debts that become due within the next year. By dividing the current assets by the current liabilities, the current ratio reflects the degree to which a company's short-term resources outstrip its debts.
Ideally, a company having a current ratio of 2 would indicate that its assets equal twice its liabilities. While lower ratios may indicate a reduced ability to meet obligations, there are no hard and fast rules when it comes to a good or bad current ratio. Each company's ratio should be compared to those of others in the same industry, and with similar business models to establish what level of liquidity is the industry standard.
For very small businesses, calculating total current assets and total current liabilities may not be an overwhelming endeavor. As businesses grow, however, the number and types of debts and income streams can become greatly diversified. Microsoft Excel provides numerous free accounting templates that help to keep track of cash flow and other profitability metrics, including the liquidity analysis and ratios template.
Once you have determined your asset and liability totals, calculating the current ratio in Excel is very straightforward, even without a template.
First, input your current assets and current liabilities into adjacent cells, say B3 and B4. In cell B5, input the formula "=B3/B4" to divide your assets by your liabilities, and the calculation for the current ratio will be displayed.
As an example, let's say that a small business owner named Frank is looking to expand and needs to determine his ability to take on more debt. Before applying for a loan, Frank wants to be sure he is more than able to meet his current obligations. Frank also wants to see how much new debt he can take on without overstretching his ability to cover payments. He doesn't want to rely on additional income that may or may not be generated by the expansion, so it's important to be sure his current assets can handle the increased burden.
After consulting the income statement , Frank determines that his current assets for the year are $150,000, and his current liabilities clock in at $60,000. By dividing the assets of the business by its liabilities, a current ratio of 2.5 is calculated. Since the business has such an excellent ratio already, Frank can take on at least an additional $15,000 in loans to fund the expansion without sacrificing liquidity.
The current formula is derived from Ohm's law. Current is defined as the flow of electrons in an electric circuit. The flow of electrons occurs due to potential differences. The current is also known as the rate of change of charge with time. Current is represented by I and SI unit of current is Ampere. Let us learn the application of the electric current formula in the section below.
Ohm's Law states that the voltage (V) across a conductor is equal to the product of the current (I) flowing through it and the resistance (R) of the conductor. According to Ohm's law, the current is the ratio of the potential difference (voltage) and the resistance. Thus, the electric current formula is given by: I = V/R
This current equation can be used to calculate the current in a circuit if the voltage and resistance are known, or to calculate the current or resistance if the other two values are known.
Let us see the applications of the current formula in the following solved examples section.
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Example 1: In an electric circuit, the potential difference and the resistance are given as 20V and 4Ω respectively. Calculate current flowing in the circuit.
To find: Current (I) flowing in the circuit.
V = 20 V, R = 4 Ω
Using current equation,
Answer: Current flowing in the circuit is 5 Ampere.
Example 2: The total current flowing in an electric circuit is 50 Amp whereas the resistance of the wires is 14 Ohm. Find the potential difference.
To find the potential difference:
I = 50 A, R = 14 Ω
Using electric current formula
V = 50 × 14
Answer: Potential difference is 700 V.
Example 3: In an electric circuit, the potential difference is 20 V and the value of current is 5 Amp respectively. Using the current formula, find the resistance of the circuit.
To find the resistance (R) of the circuit:
V = 20 V, I = 5 Amp
Using current formula
Answer: The resistance of the circuit 4 Ω.
How do you calculate current using current formula.
If the voltage (V) and resistance (R) of any circuit is given we can use the electric current formula to calculate the current, i.e., I = V/R (amps).
If the current (I) and resistance (R) of any circuit is given we can mold the current formula to calculate the voltage, i.e., V = IR (Volts).
The current equation (I = V/R) is used for both direct current (DC) and alternating current (AC) circuits. However, it's important to note that for AC circuits, the resistance (R) is often replaced by impedance (Z) since AC circuits involve the effects of both reactance and resistance.
If the current (I) and potential difference (V) of any circuit are given we can mould the current formula to calculate the resistance, i.e., R = V/I (Ohms Ω).
The current is the ratio of the potential difference and the resistance. It is represented as (I). The current formula is given as I = V/R. The SI unit of current is Ampere (Amp).
The current equation is I = V/R. If the resistance, R = 0, I = V/R would result in an undefined value for current (I/0). In practical terms, it means when an extremely high current can flow, potentially causing damage to the circuit or equipment, i.e., it would imply a short circuit.
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Here you will learn about ratio problem solving, including how to set up and solve problems. You will also look at real life ratio word problems.
Students will first learn about ratio problem solving as part of ratio and proportion in 6 th grade and 7 th grade.
Ratio problem solving is a collection of ratio and proportion word problems that link together aspects of ratio and proportion into more real life questions. This requires you to be able to take key information from a question and use your knowledge of ratios (and other areas of the curriculum) to solve the problem.
A ratio is a relationship between two or more quantities. They are usually written in the form a : b where a and b are two quantities. When problem solving with a ratio, the key facts that you need to know are:
As with all problem solving, there is not one unique method to solve a problem. However, this does not mean that there aren’t similarities between different problems that you can use to help you find an answer.
The key to any problem solving is being able to draw from prior knowledge and use the correct piece of information to allow you to get to the next step and then the solution.
Let’s look at a couple of methods you can use when given certain pieces of information.
When solving ratio word problems, it is very important that you are able to use ratios. This includes being able to use ratio notation.
For example, Charlie and David share some sweets in the ratio of 3 : 5. This means that for every 3 sweets Charlie gets, David receives 5 sweets.
Charlie and David share 40 sweets, how many sweets do they each get?
You use the ratio to divide 40 sweets into 8 equal parts.
40 \div 8=5
Then you multiply each part of the ratio by 5.
3\times 5:5\times 5=15 : 25
This means that Charlie will get 15 sweets and David will get 25 sweets.
There can be ratio word problems involving different operations and types of numbers.
Here are some examples of different types of ratio word problems:
Dividing ratios | A bag of sweets is shared between boys and girls in |
Ratios and fractions (proportion word problems) | If \frac{9}{10} students are right handed, write the ratio of |
Simplifying ratios | Simplify the ratio 10:15. |
Equivalent ratios | Write the ratio 4:15 in the form 1:n. |
Units and conversions | If £1:\$1.37, how much is £10 in US dollars? |
Percents | In a class of 30 students, the ratio of boys to girls is |
How does this relate to 6 th and 7 th grade math?
In order to solve problems including ratios:
Identify key information within the question.
Know what you are trying to calculate.
Use prior knowledge to structure a solution.
Use this worksheet to check your grade 6 to 8 students’ understanding of ratio problem solving. 15 questions with answers to identify areas of strength and support!
Example 1: part:part ratio.
Within a school, the total number of students who have school lunches to packed lunches is 5 : 7. If 465 students have a school lunch, how many students have a packed lunch?
Within a school, the number of students who have school lunches to packed lunches is \textbf{5 : 7} . If \textbf{465} students have a school lunch, how many students have a packed lunch?
Here you can see that the ratio is 5 : 7, where the first part of the ratio represents school lunches (S) and the second part of the ratio represents packed lunches (P).
You could write this as:
Where the letter above each part of the ratio links to the question.
You know that 465 students have school lunch.
2 Know what you are trying to calculate.
From the question, you need to calculate the number of students that have a packed lunch, so you can now write a ratio below the ratio 5 : 7 that shows that you have 465 students who have school lunches, and p students who have a packed lunch.
You need to find the value of p.
3 Use prior knowledge to structure a solution.
You are looking for an equivalent ratio to 5 : 7. So you need to calculate the multiplier.
You do this by dividing the known values on the same side of the ratio by each other.
465\div 5 = 93
This means to create an equivalent ratio, you can multiply both sides by 93.
So the value of p is equal to 7 \times 93=651.
There are 651 students that have a packed lunch.
The table below shows the currency conversions on one day.
GBP | 1.00 |
USD | 1.37 |
EUR | 1.17 |
AUD | 1.88 |
Use the table above to convert £520 \; (GBP) to Euros € \; (EUR).
\colorbox{yellow}{GBP} | \colorbox{yellow}{1.00} |
USD | 1.37 |
\colorbox{yellow}{EUR} | \colorbox{yellow}{1.17} |
AUD | 1.88 |
Use the table above to convert \bf{£520} \textbf{ (GBP)} to Euros \textbf{€ } \textbf{(EUR)}.
The two values in the table that are important are \text{GBP} and EUR. Writing this as a ratio, you can state,
You know that you have £520.
You need to convert GBP to EUR and so you are looking for an equivalent ratio with GBP=£520 and EUR=E.
To get from 1 to 520, you multiply by 520 and so to calculate the number of Euros for £520, you need to multiply 1.17 by 520.
1.17 \times 520=608.4
So £520=€608.40.
Liquid plant food is sold in concentrated bottles. The instructions on the bottle state that the 500 \, ml of concentrated plant food must be diluted into 2 \, l of water. Express the ratio of plant food to water, respectively, in the ratio 1 : n.
Liquid plant food is sold in concentrated bottles. The instructions on the bottle state that the \bf{500 \, ml} of concentrated plant food must be diluted into \bf{2 \, l} of water. Express the ratio of plant food to water respectively as a ratio in the form 1 : n.
Using the information in the question, you can now state the ratio of plant food to water as 500 \, ml : 2 \, l. As you can convert liters into milliliters, you could convert 2 \, l into milliliters by multiplying it by 1000.
2 \, l=2000 \, ml
So you can also express the ratio as 500 : 2000 which will help you in later steps.
You want to simplify the ratio 500 : 2000 into the form 1:n.
You need to find an equivalent ratio where the first part of the ratio is equal to 1. You can only do this by dividing both parts of the ratio by 500 (as 500 \div 500=1 ).
So the ratio of plant food to water in the form 1 : n is 1 : 4.
Three siblings, Josh, Kieran and Luke, receive an allowance each week proportional to their age. Kieran is 3 years older than Josh. Luke is twice Josh’s age. If Josh receives \$ 8 allowance, how much money do the three siblings receive in total?
Three siblings, Josh, Kieran and Luke, receive an allowance each week proportional to their ages. Kieran is \bf{3} years older than Josh. Luke is twice Josh’s age. If Luke receives \bf{\$ 8} allowance, how much money do the three siblings receive in total?
You can represent the ages of the three siblings as a ratio. Taking Josh as x years old, Kieran would therefore be x+3 years old, and Luke would be 2x years old. As a ratio, you have:
You also know that Luke receives \$ 8.
You want to calculate the total amount of allowance for the three siblings.
You need to find the value of x first. As Luke receives \$ 8, you can state the equation 2x=8 and so x=4.
Now you know the value of x, you can substitute this value into the other parts of the ratio to obtain how much money the siblings each receive.
The total amount of allowance is therefore 4+7+8=\$ 19.
Below is a bar chart showing the results for the colors of counters in a bag.
Express this data as a ratio in its simplest form.
From the bar chart, you can read the frequencies to create the ratio.
You need to simplify this ratio.
To simplify a ratio, you need to find the highest common factor of all the parts of the ratio. By listing the factors of each number, you can quickly see that the highest common factor is 2.
\begin{aligned} & 12 = 1, {\color{red}2}, 3, 4, 6, 12 \\\\ & 16 = 1, {\color{red}2}, 4, 8, 16 \\\\ & 10 = 1, {\color{red}2}, 5, 10 \end{aligned}
HCF(12,16,10) = 2
Dividing all the parts of the ratio by 2, you get
Our solution is 6 : 8 : 5.
Glass is made from silica, lime and soda. The ratio of silica to lime is 15 : 2. The ratio of silica to soda is 5 : 1. State the ratio of silica:lime:soda.
Glass is made from silica, lime and soda. The ratio of silica to lime is \bf{15 : 2}. The ratio of silica to soda is \bf{5 : 1}. State the ratio of silica:lime:soda.
You know the two ratios
You are trying to find the ratio of all 3 components: silica, lime and soda.
Using equivalent ratios you can say that the ratio of Silica:Soda is equivalent to 15 : 3 by multiplying the ratio by 3.
You now have the same amount of silica in both ratios and so you can now combine them to get the ratio 15 : 2 : 3.
India and Beau share some popcorn in the ratio of 5 : 2. If India has 75 \, g more popcorn than Beau, what was the original quantity?
India and Beau share some popcorn in the ratio of \bf{5 : 2} . If India has \bf{75 \, g} more popcorn than Beau, what was the original quantity?
You know that the initial ratio is 5 : 2 and that India has three more parts than Beau.
You want to find the original quantity.
Drawing a bar model of this problem, you have:
Where India has 5 equal shares, and Beau has 2 equal shares.
Each share is the same value and so if you can find out this value, you can then find the total quantity.
From the question, India’s share is 75 \, g more than Beau’s share so you can write this on the bar model.
You can find the value of one share by working out 75 \div 3=25 \, g.
You can fill in each share to be 25 \, g.
Adding up each share, you get
India=5 \times 25=125 \, g
Beau=2 \times 25=50 \, g
The total amount of popcorn was 125+50=175 \, g.
1. An online shop sells board games and computer games. The ratio of board games to the total number of games sold in one month is 3 : 8. What is the ratio of board games to computer games?
8-3=5 computer games sold for every 3 board games.
2. The ratio of prime numbers to non-prime numbers from 1-200 is 45 : 155. Express this as a ratio in the form 1 : n.
You need to simplify the ratio so that the first number is 1. That means you need to divide each number in the ratio by 45.
45 \div 45=1
155\div{45}=3\cfrac{4}{9}
3. During one month, the weather was recorded into 3 categories: sunshine, cloud and rain. The ratio of sunshine to cloud was 2 : 3 and the ratio of cloud to rain was 9 : 11. State the ratio that compares sunshine:cloud:rain for the month.
3 \times S : C=6 : 9
4. The angles in a triangle are written as the ratio x : 2x : 3x. Calculate the size of each angle.
You should know that the 3 angles in a triangle always equal 180^{\circ}.
\begin{aligned} & x+2 x+3 x=180 \\\\ & 6 x=180 \\\\ & x=30^{\circ} \\\\ & 2 x=60^{\circ} \\\\ & 3 x=90^{\circ} \end{aligned}
5. A clothing company has a sale on tops, dresses and shoes. \cfrac{1}{3} of sales were for tops, \cfrac{1}{5} of sales were for dresses, and the rest were for shoes. Write a ratio of tops to dresses to shoes sold in its simplest form.
\cfrac{1}{3}+\cfrac{1}{5}=\cfrac{5+3}{15}=\cfrac{8}{15}
1-\cfrac{8}{15}=\cfrac{7}{15}
6. The volume of gas is directly proportional to the temperature (in degrees Kelvin). A balloon contains 2.75 \, l of gas and has a temperature of 18^{\circ}K. What is the volume of gas if the temperature increases to 45^{\circ}K?
The given ratio in the word problem is 2. 75 \mathrm{~L}: 18^{\circ} \mathrm{K}
Divide 45 by 18 to see the relationship between the two temperatures.
45 \div 18=2.5
45 is 2.5 times greater than 18. So we multiply 2.75 by 2.5 to get the amount of gas.
2.75 \times 2.5=6.875 \mathrm{~l}
A ratio is a comparison of two or more quantities. It shows how much one quantity is related to another.
A recipe calls for 2 cups of flour and 1 cup of sugar. What is the ratio of flour to sugar? (2 : 1)
In middle school ( 7 th grade and 8 th grade), students transition from understanding basic ratios to working with more complex and real-life applications of ratios and proportions. They gain a deeper understanding of how ratios relate to different mathematical concepts, making them more prepared for higher-level math topics in high school.
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Prepare for math tests in your state with these Grade 3 to Grade 6 practice assessments for Common Core and state equivalents.
40 multiple choice questions and detailed answers to support test prep, created by US math experts covering a range of topics!
Last Updated: January 29, 2024 References
This article was co-authored by Grace Imson, MA . Grace Imson is a math teacher with over 40 years of teaching experience. Grace is currently a math instructor at the City College of San Francisco and was previously in the Math Department at Saint Louis University. She has taught math at the elementary, middle, high school, and college levels. She has an MA in Education, specializing in Administration and Supervision from Saint Louis University. This article has been viewed 3,151,740 times.
Ratios are mathematical expressions that compare two or more numbers. They can compare absolute quantities and amounts or can be used to compare portions of a larger whole. Ratios can be calculated and written in several different ways, but the principles guiding the use of ratios are universal to all.
Grace Imson, MA
Look at the order of terms to figure out the numerator and denominator in a word problem. The first term is usually the numerator, and the second is usually the denominator. For example, if a problem asks for the ratio of the length of an item to its width, the length will be the numerator, and width will be the denominator.
One common problem is knowing which number to use as a numerator. In a word problem, the first term stated is usually the numerator and the second term stated is usually the denominator. If you want the ratio of the length of an item to the width, length becomes your numerator and width becomes your denominator.
To calculate a ratio, start by determining which 2 quantities are being compared to each other. For example, if you wanted to know the ratio of girls to boys in a class where there are 5 girls and 10 boys, 5 and 10 would be the quantities you're comparing. Then, put a colon or the word "to" between the numbers to express them as a ratio. In this example, you'd write "5 to 10" or "5:10." Finally, simplify the ratio if possible by dividing both numbers by the greatest common factor. To learn how to solve equations and word problems with ratios, scroll down! Did this summary help you? Yes No
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Expressed as a Number. This is arrived at by dividing current assets by current liabilities. For example, if a company's total current assets are $90,000 and its current liabilities are $72,000, its current ratio is $90,000/$72,000 = 1.25. If the current ratio of a business is 1 or more, it means it has more current assets than current ...
Current ratio = Current assets/Current liabilities = $1,100,000/$400,000 = 2.75 times. The current ratio is 2.75 which means the company's currents assets are 2.75 times more than its current liabilities. Significance and interpretation. Current ratio is a useful test of the short-term-debt paying ability of any business.
Current Ratio: The current ratio is a liquidity ratio that measures a company's ability to pay short-term and long-term obligations. To gauge this ability, the current ratio considers the current ...
Current ratio = $15,000 / $22,000 = 0.68. That means that the current ratio for your business would be 0.68. A company with a current ratio of less than one doesn't have enough current assets to cover its current financial obligations. XYZ Inc.'s current ratio is 0.68, which may indicate liquidity problems. But that's also not always the ...
A current ratio of around 1.5x to 3.0x is considered to be healthy, whereas a current ratio below 1.0x is deemed a red flag that implies the near-term liquidity of the company presents risks. The current ratio is different from the quick ratio because the metric is less conservative because the formula includes all current assets, rather than ...
Inventory = $25 million. Short-term debt = $15 million. Accounts payables = $15 million. Current assets = 15 + 20 + 25 = 60 million. Current liabilities = 15 + 15 = 30 million. Current ratio = 60 million / 30 million = 2.0x. The business currently has a current ratio of 2, meaning it can easily settle each dollar on loan or accounts payable twice.
This ratio expresses a firm's current debt in terms of current assets. So a current ratio of 4 would mean that the company has 4 times more current assets than current liabilities. A higher current ratio is always more favorable than a lower current ratio because it shows the company can more easily make current debt payments. If a company ...
The current ratio is a liquidity ratio that is used to calculate a company's ability to meet its short-term debt and obligations, or those due in a single year, using assets available on its balance sheet. It is also known as working capital ratio. A current ratio of one or more is preferred by investors.
The current ratio is a liquidity ratio that evaluates the ability of a company to pay its short-term or current liabilities with its short-term or current assets.The current ratio is also known as the working capital ratio.This ratio gives investors and analysts insight into how a business can maximize the current assets on its balance sheet to satisfy its current debt and other payables.
How to calculate the current ratio. You can calculate the current ratio by dividing a company's total current assets by its total current liabilities. Again, current assets are resources that ...
The current ratio is calculated as the current assets of Colgate divided by the current liability of Colgate. For example, in 2011, Current Assets were $4,402 million, and Current Liability was $3,716 million. = 4,402/3,716 = 1.18x. Likewise, we calculate the Current Ratio for all other years.
Current Ratio formula. The formula for calculating is as follows: Figure 1 - Current ratio formula. * = Liquid assets are resources that are readily available such as cash and money in bank accounts. Inventories are the products times (x) the cost price that are managed in the warehouse. ** = Short Term Liabilities is the capital that has to ...
2. Cash & cash equivalent + Marketable securities + Account Receivable. Let's understand it with the help of example. XYZ Company has $400 million in current asset, the inventory costs 50 million. While the liabilities which it need to pay off are $300 million. Quick ratio = CA / CL. = (400 - 50)/300. = 350/300.
For example. the debt-to-asset ratio for 2022 is: Total Liabilities/Total Assets = $1,074/3,373 = 31.8%. This means that 31.8% of the firm's assets are financed with debt. In 2023, the debt ratio is 27.8%. In 2023, the business is using more equity financing than debt financing to operate the company.
Here is a compilation of top thirteen accounting problems on ratio analysis with its relevant solutions. Problem 1: The following is the Balance Sheet of a company as on 31st March: Problem 2: From the following particulars found in the Trading, Profit and Loss Account of A Company Ltd., work out the operation ratio of the business concern: Problem 3: The following is the summarised Profit and ...
The current ratio is a figure that results from dividing current assets by the current liabilities. This figure is important because it measures the liquidity stand of a firm. Normally, the assumption is that the higher the ratio, the higher is the liquidity, and vice versa. It would be unfair to conclude the liquidity based on the ratio.
First, input your current assets and current liabilities into adjacent cells, say B3 and B4. In cell B5, input the formula "=B3/B4" to divide your assets by your liabilities, and the calculation ...
According to Ohm's law, the current is the ratio of the potential difference (voltage) and the resistance. Thus, the electric current formula is given by: I = V/R. where. R is the resistance in Ohm (Ω). This current equation can be used to calculate the current in a circuit if the voltage and resistance are known, or to calculate the current ...
40 \div 8=5 40 ÷ 8 = 5. Then you multiply each part of the ratio by 5. 5. 3\times 5:5\times 5=15 : 25 3 × 5: 5 × 5 = 15: 25. This means that Charlie will get 15 15 sweets and David will get 25 25 sweets. There can be ratio word problems involving different operations and types of numbers.
You can treat a ratio as a fraction or a division problem: 1:4 = 1 / 4 = 1 ÷ 4. Solve this problem with long division (or a calculator) and you'll get the answer as a decimal: 0.25. To make this a percent, just move the decimal point two spaces to the right: 0.25 = 25%. Thanks!
Divide the total amount in the initial ratio. Find the value of one part by dividing the total amount by the sum of the parts. Multiply the value of one part by the number of parts for each share ...
What you need to do in any word problem involving the ratios is exactly the same. Take the entire amount and divide it by the sum of the ratios. This will give you the number you need to multiply both ratios by. So the entire amount of playtimes is 30, and the sum of the ratios is 2+3, which is 5.
Solving Ratio Problems. We add the parts of the ratio to find the total number of parts. There are 2 + 3 = 5 parts in the ratio in total. To find the value of one part we divide the total amount by the total number of parts. 50 ÷ 5 = 10. We multiply the ratio by the value of each part. 2:3 multiplied by 10 gives us 20:30.