example of discount in math

example of discount in math

example of discount in math

example of discount in math

  • example of discount in math

  • example of discount in math

    example of discount in math

    It also has limitations in capital budgeting, where the focus is often on periodic cash flows and returns. It is possible that items you do not intend to sell will sit in your store for months. Consider luxury brands such as Mercedes Benz, Louis Vuitton, and Tiffany. = What is the discount? ) r {\displaystyle r} Remember that 'counter' means to go against, so a counterexample is a statement used to disprove a conjecture. Image by Sabrina Jiang Investopedia2020. is the period (number of years), over which the short-run growth rate is applied. Another distinction is thatCAGRis simple enough that it can be calculated easily. For example: import math will import the math module. Thus, selling price = {100 + profit %} /100 CP, Therefore, SP = (Listed Price) - (discount), Hence, the marked price of the microwave oven is Rs 13750. The resources span multiple topics and members have access to the over 1,000 problems and supporting materials! A map of the British Moreover, if allcash flows havethe same sign (i.e., the project never turns a profit), thennodiscount ratewillproduce a zero NPV. It can be misconstrued or misinterpreted if used outside of appropriate scenarios. 1 ( Although IRR is sometimes referred to informally as a projects return on investment, it is different from the way most people use that phrase. The ultimate goal of IRR is to identify the rate of discount, which makes thepresent valueof the sum of annual nominal cash inflows equal to the initial net cash outlay for the investment. What is the discount? Answer:The discount is $2.40 and the sale price is $9.60. Rather, they will likely pursue projects with the highest difference between IRR and RRR, as these will likely be the most profitable. C Price reductions damage your brand image, which is one of the negatives of discounts. denotes the long-run growth rate, and Why did you make that conclusion? Basic Math Formulas. IRR is uniform for investments of varying types and, as such, can be used to rank multiple prospective investments or projectson a relatively even basis. Only by lowering your cost of goods can you maintain your profit margin. The internal rate of return (IRR) is a financial metric used to assess the attractiveness of a particular investment opportunity. D Find the listed price of the microwave oven. Now that we have a procedure in place, we can simply solve the above problem. Get unlimited access to over 84,000 lessons. As an example, a $700 purchase might cost $63.24/mo for 12 months at 15% APR. {\displaystyle P_{0}} a) The list price, also known as the marked price, is the price of an item as announced by the seller or manufacturer, excluding any discounts. Join the discussion about your favorite team! The user-defined objects are created using the class keyword. Income plus capital gains equals total return, Problems with the constant-growth form of the model, Gordon, M.J and Eli Shapiro (1956) "Capital Equipment Analysis: The Required Rate of Profit," Management Science, 3,(1) (October 1956) 102-110. To calculate the discount, multiply the rate by the original price. It is the annual return that makes the NPV equal to zero. I / What if you dont want to reinvestdividends but need them as income when paid? 272 lessons In object-oriented programming, a class is a blueprint for creating objects (a particular data structure), providing initial values for state (member variables or attributes), and implementations of behavior (member functions or methods). = It is simply to say, 'discount' is a percentage of the listed price. 0 R In capital planning, one popular scenario for IRR iscomparing the profitability of establishingnew operations with that of expanding existingoperations. The two numbers normally would be the same over the course of one year but wont be the same for longer periods of time. Now, the sale price is reckoned as follows: A dealer purchased a microwave oven for Rs10000. Example 2:In a grocery store, a $12 case of soda is labeled, "Get a 20% discount." The gambler's fallacy, also known as the Monte Carlo fallacy or the fallacy of the maturity of chances, is the incorrect belief that, if a particular event occurs more frequently than normal during the past, it is less likely to happen in the future (or vice versa), when it has otherwise been established that the probability of such events does not depend on what has happened in the Ryan Eichler holds a B.S.B.A with a concentration in Finance from Boston University. r So the dividend Yield IRR can help determine which option to choose by showing which will have the best return. Actual terms may vary. Thus, Substituting the value for We all are eager about availing discounts, but we barely know how we get these discounts. When people know they only have a few days to look around, they are more likely to rush in and look about. | {{course.flashcardSetCount}} This is a type of discount that the consumer receives a discount depending on the number of units purchased. Thenumberoftimeperiods Given that the companys cost of capital is 10%, management should proceed with Project A and reject Project B. {\displaystyle g} + ( {\displaystyle P} Gift with confidence this season with returns accepted through January 31, 2023. It is expressed as a fraction. In such a case, we say that successive discounts of 15% and 12% are given. {\displaystyle r-g} Each subsequent cash flow could be positive or negative, depending on the estimates of what the project delivers or requires as a capital injection in the future. | 12 Overall, while there are some limitations to IRR, it is an industry standard for analyzing capital budgeting projects. Create your account, 25 chapters | Below is a modified version of the problem from the top of this page. Assume a company is assessing the profitability of Project X. For example, given that a service normally costs $95, and you have a discount coupon for $20 off, this would mean subtracting $20 from $95 to get the final price: In this example, you are saving the fixed amount of $20. WACC is a measure of a firmscost of capitalin which each category of capital is proportionatelyweighted. Think of IRR as the rate of growth that an investment is expected to generate annually. 3. Our air purifiers solve a wide range of airborne pollutant concerns. This specification provides a mechanism to express these sorts of credentials on the Web in a way Try refreshing the page, or contact customer support. Book low fares to destinations around the world and find the latest deals on airline tickets, hotels, car rentals and vacations at aa.com. What is the sale price of the DVD? All you need to disprove a conjecture is one example. Therefore, these are our counterexamples. IRR is adiscount ratethat makes thenet present value(NPV) of all cash flows equal to zero in a discounted cash flow analysis. You can learn more about the standards we follow in producing accurate, unbiased content in our. For example, a percentage discount of 10% would indicate that a commodity that originally cost Rs 100 would now cost Rs 90. In other words, DDM is used to value stocks based on the net present value of the future dividends.The constant-growth form of the DDM is What is the sale price of the case of soda? In this case, the IRR is 56.72%, which is quite high. The MWRR helps determine the rate of return needed to start with the initial investment amount factoring in all of the changes to cash flows during the investment period, including sales proceeds. Upload your resume. equals Cost of Equity Because your store will be busier during the sale time, you may need to hire more personnel to provide smooth service. Now we can use the cos() function inside it as math.cos(). Your pricing should be aspirational, just like those big-name brands. g Let's review the main points of this lesson: When you are finished, you should be able to: To unlock this lesson you must be a Study.com Member. Make Space in Your Store: You can clear up space in your store by discounting things. To compute the sale price, deduct the discount from the original price. It's quite tough to maintain the lead in a price war like this. r CBSE Previous Year Question Paper for Class 10, CBSE Previous Year Question Paper for Class 12. All rights reserved. g Use the following paragraphs for a longer description, or to establish category guidelines or rules: C ) It Can Lead to a Pricing War: One of the primary drawbacks of discounts is that it encourages people to shop around. The British men in the business of colonizing the North American continent were so sure they owned whatever land they land on (yes, thats from Pocahontas), they established new colonies by simply drawing lines on a map. ) When dividends are assumed to grow at a constant rate, the variables are: 0 Khadija Khartit is a strategy, investment, and funding expert, and an educator of fintech and strategic finance in top universities. Reprinted in, Sustainable growth rate From a financial perspective, Investopedia Digging Into The Dividend Discount Model, Spreadsheet for variable inputs to Gordon Model, Alternative derivations of the Gordon Model and its place in the context of other DCF-based shortcuts, https://en.wikipedia.org/w/index.php?title=Dividend_discount_model&oldid=1126730735, Articles with unsourced statements from November 2020, Creative Commons Attribution-ShareAlike License 3.0, The presumption of a steady and perpetual growth rate less than the, If the stock does not currently pay a dividend, like many, The stock price resulting from the Gordon model is sensitive to the growth rate, This page was last edited on 10 December 2022, at 23:10. To calculate the sale price, subtract the discount from original price. In either of the latter two, the value of a company is based on how much money is made by the company. As a member, you'll also get unlimited access to over 84,000 In terms of Mathematics, the formula for discount is represented as below, Discount Percentage Formula = Marked Price Discount Rate, Other basis Discount formula are as below:-. What is the discount? When the growth g is zero, the dividend is capitalized. lessons in math, English, science, history, and more. DISCOUNT GUARNTEED SAVINGS! I From the first equation, one might notice that Definition of Discount with Simple Discount Rate Example. Here is a simple example of an IRR analysis with cash flows that are known and annually periodic (one year apart). Your conjecture would be: The next number is 14 because the list is counting by 2s. TheIRR rulestates that if the IRR on a project or investment is greater than the minimumRRRtypically thecost of capital, then the project or investment can be pursued. Use a special promotional code FIRST15 when filling out the order form. In this problem, a product that originally costs Rs1500 is being discounted by 10%. So using mental math, you would get that one-half of $5.00 is $2.50. The payback period refers to the amount of time it takes to recover the cost of an investment or how long it takes for an investor to hit breakeven. Preply is the best platform for private online lessons with a flexible payment system and affordable prices. What are the advantages of offering discounts? Management must decide whether to move forward with one, both, or neither. How to Calculate Internal Rate of Return (IRR) in Excel, Formula for Calculating Internal Rate of Return in Excel, Net Present Value vs. Internal Rate of Return, Modified Internal Rate of Return (MIRR) vs. You can also text us, "can you do my essay cheap" and we'll share all the ongoing promotions and limited-time offers with you. By signing up, you agree to receive useful information and to our privacy policy. ) Directions: Solve each problem below by entering a dollar amount with cents. flashcard set{{course.flashcardSetCoun > 1 ? The internal rate of return rule is a guideline for evaluating whether to proceed with a project or investment. NCTM members can browse the extensive archive of Students Explorations in Mathematics activities and materials. = The series in parenthesis is the geometric series with common ratio , and so the current value of all the future dividend payments, which is the current price Basic definitions. As mentioned, most companies do not rely on IRR and NPV analyses alone. I would definitely recommend Study.com to my colleagues. If your gross margin is 50% and you decrease your pricing by 20%, you'll need to grow sales by 67 percent to maintain your profit margin. A fixed amount off of a price refers to subtracting whatever the fixed amount is from the original price. Find jobs. Join an activity with your class and find or create your own quizzes and flashcards. This IRR is very high during the early days of the policybecause if you made only one monthly premium payment and then suddenly died, your beneficiaries would still get a lump sum benefit. If a firm cant find any projects withan IRRgreater than the returns that can be generated in the financial markets, then it may simply choose to invest money in the market. If another project has a similar IRR with less up-front capital or simpler extraneous considerations, then a simpler investment may be chosen despite IRRs. For example, find a single discount equivalent to two successive discounts of 15% and 12% on an article. Not sure which robot is right for you? Another common use of IRR is in analyzing investment returns. How do you go about doing that? Summary:Stores often sell goods for a discounted price. People will come to your store for the discount, but they may also buy other clothing products or accessories, such as jackets, shirts, and belts, if your clothing store offers a discount on the entire collection of your clothing. You've definitely seen one in the form of 50% + 20% off sale, or a buy 2 & get 1 free offer. {\displaystyle {\frac {1+r}{1+r}}} if Example; Problems and Solutions; Business Math always deals with profit or loss. A fixed amount off of a price refers to subtracting whatever the fixed amount is from the original price. Answer: The discount is $2.50 and the sale price is $2.50. {\displaystyle r} You must notice some kind of pattern or make some kind of observation. After any reductions or discounts in the list price, the selling price is the actual price at which an item is sold. Typically, a store will discount an item by apercentof theoriginal price. Within its realm of uses, IRR is a very popular metric for estimating a projects annual return; however, it is not necessarily intended to be used alone. Counterexample in Math | What is a Counterexample? g r Single discount equivalent to offered successive discounts = (100 74.80) % = 25.2%. Considering that the apparel store often sells goods for a discounted price. Another advantage of IRR is that its definition is mathematically precise, whereas the term ROI can mean different things depending on the context or the speaker. Market returns can also be a factor in setting an RRR. 1 {\displaystyle r'} {\displaystyle {\frac {D_{0}(1+g)^{t}}{{(1+r)}^{t}}}} Problem:In a video store, a DVD that sells for $15 is marked "10% off." Hitting > pauses the slideshow and goes forward. IRR is also useful for corporations in evaluating stockbuybackprograms. These include white papers, government data, original reporting, and interviews with industry experts. Tough dirt and messes cant beat Roomba Robot Vacuums Power-Lifting Suction and 3-Stage Cleaning System, bolstered by unique Dual Multi-Surface Rubber Brushes that flex to adjust to floor types and avoid getting tangled with pet hair. g Free math worksheets, charts and calculators, About Us | Contact Us | Advertise With Us | Facebook | Recommend This Page. What is the discount? Euclidean Algorithm & Diophantine Equation: Examples & Solutions. The term discount can be used to refer to many forms of reduction in the price of a good or service. Companies have a variety of options to help grow their business, this includes building out new operations, improving existing operations, making acquisitions, and so on. Discounts are not beneficial to your customers, but they also help in the growth of your business. [2][3] Their work borrowed heavily from the theoretical and mathematical ideas found in John Burr Williams 1938 book "The Theory of Investment Value," which put forth the dividend discount model 18 years before Gordon and Shapiro. Let's have a look at the relationships between these terms. I feel like its a lifeline. What is the assumed return on the cash? What is the sale price of the DVD? NPV 2. ) is the value of dividends at the end of the first period. 1 C What are Polynomials, Binomials, and Quadratics? In Example 3, note that the discount and the sale price are the same amount! Companies and analysts may also look at thereturn on investment (ROI) when making capital budgeting decisions. Totalinitialinvestmentcosts When you cut the price of your products or services, you are forced to compete with larger corporations that have lower costs than a small business owner. 2022 iRobot Corporation. What is the discount? Find the right air purifier for your needs. Yes, there also exist Fake discounts, which we also sometimes refer to as fictitious pricing. Federal government websites often end in .gov or .mil. Answer a few questions to find out! Even when g is very close to r, P approaches infinity, so the model becomes meaningless. Enhance Your Reputation: A company's reputation may increase if it offers discounts to certain groups of individuals, such as the elderly or those in the military. Once again, you could calculate the discount and sale price using mental math. XIRR is used when the cash flow model does not exactly have annual periodic cash flows. For such kind of discount amount formula, we suppose the original price as 100 and deduct the discount percentage from it. What is the sale price of the dress? In addition to being used by companies to determine which capital projects to use, IRR can help investors determine the investment return of various assets. 'Listed price' is the usual price of a commodity not inclusive of any discount. C She is a FINRA Series 7, 63, and 66 license holder. Business mathematics is used by commercial companies to record and manage business works. To solve an inequality using the number line, change the inequality sign to It should be noted that the discount is always applied to the article's marked price (List price). Divide the answer by the length of your shadow. You've definitely seen one in the form of 50% + 20% off sale, or a buy 2 & get 1 free offer. . Solution:The rate is given as the fraction. Susie notices that when she buys strawberry ice cream, her 3-year-old son Johnny always ask for seconds, but when she buys vanilla, he leaves some in the bowl. Problem:In a video store, a DVD that sells for $15 is marked, "10% off". flashcard sets, {{courseNav.course.topics.length}} chapters | denotes the short-run expected growth rate, For example, a project of a short duration may have a high IRR, making it appear to be an excellent investment. Since estimates in IRR and NPV can differ drastically from actual results, most analysts will choose to combine IRR analysis with scenario analysis. The above examples are two of the most common discount methods. Discounts are sometimes referred to as "off" or "reduction." 's' : ''}}. A simple online search will provide your consumers with a plethora of possibilities, some of which may be less expensive than what you have to offer. Price after the 1st discount = Rs (100 - 15) = Rs.85, 2nd discount on the updated price i.e. Conversely, if the IRR on a project or investment is lower than the cost of capital, then the best course of action may be to reject it. Its like a teacher waved a magic wand and did the work for me. The rate is generally given as a percent. Federal government websites often end in .gov or .mil. The term "discount percentage" or "discount rate" refers to the price reduction represented as a percentage. The constant-growth form of the DDM is sometimes referred to as the Gordon growth model (GGM), after Myron J. Gordon of the Massachusetts Institute of Technology, the University of Rochester, and the University of Toronto, who published it along with Eli Shapiro in 1956 and made reference to it in 1959. You're now in slide show mode. Most companies will require an IRR calculation to be above the WACC. Explore the definition and examples, as well as counterexamples, of conjecture. , so that. Credentials are a part of our daily lives; driver's licenses are used to assert that we are capable of operating a motor vehicle, university degrees can be used to assert our level of education, and government-issued passports enable us to travel between countries. Below are lists of the top 10 contributors to committees that have raised at least $1,000,000 and are primarily formed to support or oppose a state ballot measure or a candidate for state office in the November 2022 general election. While both projects could add value to the company, it is likely that one will be the more logical decision as prescribed by IRR. Diagonal of Square Formula - Meaning, Derivation and Solved Examples, ANOVA Formula - Definition, Full Form, Statistics and Examples, Mean Formula - Deviation Methods, Solved Examples and FAQs, Percentage Yield Formula - APY, Atom Economy and Solved Example, Series Formula - Definition, Solved Examples and FAQs, Surface Area of a Square Pyramid Formula - Definition and Questions, Point of Intersection Formula - Two Lines Formula and Solved Problems, Definition of Discount with Simple Discount Rate Example. The .gov means it's official. t For example, if a company consistently paid out 50% of earnings as dividends, then the discounted dividends would be worth 50% of the discounted earnings. The ROI metric can provide some more clarity in these cases, although some managers may not want to wait out the longer time frame. Percentage discount is a kind of discount that is offered on a product or service in the form of an amount per hundred. Promotional Discounts - This is a type of discount which is quite beneficial for the sales promotion. The hypotheses are conjectures about a statistical model of the population, which are based on a sample of the population. Beverly has taught mathematics at the high school level and has a doctorate in teaching and learning. succeed. It is calculated by taking the difference between the current or expected future value and the original beginning value, divided by the original value, and multiplied by 100. Save up to $625 when you purchase select robot vacuums and robot mops together. Looking at the following numbers: 2, 4, 6, 8, 10, 12. What conclusions do you think Susie would make? Analysis:The phrase, "off," refers to the rate. Let's look at another way of calculating the sale price of an item. Ultimate & Best Wordpress Plugins (Data Tables, Gallery, Pricing Tables, Maps, Popup, Contact Forms et al.) Plus, get practice tests, quizzes, and personalized coaching to help you 1 delivers unique intelligence to your robot so it works the way you want it to. Move discounted things that you don't plan on selling again to the front of the store to attract every customer's eye. Combination Formula. Please provide any 2 values below to calculate. Solution:The rate is 10%. Its cost of capital is 10%. t When a business offers discounts to those who are in difficult situations or who may be experiencing financial difficulties due to a lack of income, it demonstrates that it is trying to help people. When n is a prime number; n + 2 is always prime. Theinternalrateofreturn *Activation fee required. Clearly, if a company allocates substantial funding to repurchasing its shares, then the analysis must show that the companys own stock is a better investmentthat is, has a higher IRRthan any other use of the funds, such as creating new outlets or acquiring other companies. ) see also Discounted cash flow Shortcomings. Neither the companys board nor management have contributed a dime to this lobbying effort so far. ROI tells an investor about the total growth, start to finish, of the investment. In fact, it is possible that the opposite is true. For example, a change from 1 to 51 and from 50 to 100 both have an absolute change of 50, but the percentage increase for the first is 5000%, while for the second it is 100%, so the first change grew a lot more. 10 % off RFID Events; 10% off RFID Reports; Register Now. r It is simply to say, 'discount' is a percentage of the listed price. + {\displaystyle r'} Customers are given discounts by retailers in order to encourage sales. Example 4:A pizzeria has a coupon that reads, "Getoff a $9.00 cheese pizza." All thanks to economies of scale! copyright 2003-2022 Study.com. is All mathematical theorems began with a conjecture. b) IRR is generally ideal for use in analyzing capital budgeting projects. In an apparel store, a sweatshirt that sells for Rs1500 is marked "10% off." Note that we calculated the sale price in the above problem, but we did not calculate the discount. IRR and other assumptions are particularly important on instruments likeannuities, where the cash flows can become complex. Use this simple grid to determine the cost of price cuts in your firm. P t Big Blue Interactive's Corner Forum is one of the premiere New York Giants fan-run message boards. The .gov means it's official. < In some cases, issues can also arise when using IRR to compare projects of different lengths. Discounts frequently appear to be a no-brainer strategy to increase sales or keep customers returning. Analyses will also typically involve NPV calculations at different assumed discount rates. A down payment may be required. Project X requires $250,000 in funding and is expected to generate $100,000 in after-tax cash flows in the first year and grow by $50,000 for each of the next four years. The MIRR is a rate-of-return measure that includes the integration of the cost of capital and the risk-free rate. What is the discount? You perhaps looked at the pattern and noticed that the list is counting by 2s. This discount enables distributors to differ their own prices, so that all items can be sold. Find out the rate of discount? ( {\displaystyle (r)} g Mathematicians notice a pattern in numbers or shapes, then they perform a number of operations and solve numerous equations to prove their conjecture. is the current stock price. Obtain Sales Objectives: Many firms set sales goals on a weekly, monthly, quarterly, or annual basis. Explore the entire Algebra 1 curriculum: quadratic equations, exponents, and more. This extensive library hosts sets of math problems suitable for students PreK-12. For example, an energy company may use IRR in deciding whether to open a new power plant or to renovate and expand an existing power plant. Also, in the dividend discount model, a company that is not expected to pay dividends ever in the future is worth nothing, as the owners of the asset ultimately never receive any cash. It's unusual to see a sales increase that can compensate for a margin reduction. Finally, IRR is a calculation used for an investments money-weighted rate of return (MWRR). The IRR function can be found by clicking on the Formulas Insert (fx) icon. Could you have done this problem using mental math? P There are typically three types of discounts which are as follows:-. - Definition & Examples, Commutative Property of Addition: Definition & Example, Open Sentence in Math: Definition & Example, NY Regents - Problems with Decimals and Fractions: Help and Review, NY Regents - Problems with Percents: Help and Review, NY Regents - Problems with Exponents: Help and Review, NY Regents - Problems with Exponential Expressions: Help and Review, Radical Expressions & Equations Problems: Help & Review, Algebraic Expression & Equation Problems: Help & Review, NY Regents - Distributing Terms in Algebra: Help and Review, Inequalities & Linear Equations in Algebra: Help & Review, NY Regents - Matrices and Absolute Value: Help and Review, NY Regents - Overview of Functions: Help and Review, NY Regents - Factoring with Variables: Help and Review, NY Regents - Quadratics & Polynomials: Help and Review, NY Regents - Rational Expressions: Help and Review, NY Regents - Graphing Functions: Help and Review, Ratios, Percent & Proportions: Help & Review, NY Regents - Probability and Statistics: Help and Review, NY Regents - Probability Mechanics: Help and Review, NY Regents - Working with Data: Help and Review, NY Regents - Well-Known Equations: Help and Review, NY Regents - Intro to Trigonometry: Help and Review, NY Regents - Measurement for Algebra Students: Help and Review, NY Regents - Geometry for Algebra Students: Help and Review, NY Regents Exam - Integrated Algebra Help and Review Flashcards, SAT Subject Test Mathematics Level 2: Tutoring Solution, Introduction to Statistics: Help and Review, Common Core Math - Number & Quantity: High School Standards, Common Core Math - Algebra: High School Standards, Common Core Math - Statistics & Probability: High School Standards, High School Algebra II: Homeschool Curriculum, PSAT Writing & Language Test: Words in Context Questions, PSAT Writing & Language Test: Analysis Questions, PSAT Writing & Language Test: Expression of Ideas Questions, PSAT Writing & Language Test: Standard English Convention Questions, Question Types for PSAT Passage-Based Readings, Practice with Long Reading Passages on the PSAT, Practice with PSAT Double Reading Passages, Solving PSAT Math Problems with Number Lines, SAT Writing & Language Test: Command of Evidence, SAT Writing & Language Test: Analysis Questions - History & Science, Evaluating Reports for Data Collection and Analysis, Working Scholars Bringing Tuition-Free College to the Community. As the same calculation applies to varying investments, it can be used to rank all investments to help determine which is the best; the one with the highest IRR is generally the best investment choice. We can begin by listing some prime numbers: 2, 3, 5, 7, 11, 2 + 2 = 43 + 2 = 55 + 2 = 77 + 2 = 911 + 2 = 13. Analysis:The phrase, "Save 25%," refers to the rate. Often, when people refer to ROI, they are simply referring to the percentage return generated from an investment in a given year or across a stretch of time. Thus, it can be most similar to a compound annual growth rate (CAGR). That example is called a counterexample. where: Law of Detachment Overview & Examples | What is the Law of Detachment Theory? To solve this problem, we require following a procedure. The discount rate is calculated using the following formula: Discount (percentage) = (List Price - Selling Price)/ List Price x 100, Discount % = (Discount/List Price) times; 100, Rate of Discount=Discount%= Discount/ListPrice100, ListPrice = SellingPrice (100/100discount%). In Example 3, note that the discount and the sale price are the same amount! Start today for free! So "10% off" refers to the rate of discount. 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    example of discount in math