For more information, please see full course syllabus of Basic Math

For more information, please see full course syllabus of Basic Math

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### Discount and Sales Tax

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- Discount: The amount of decrease, which is subtracted from the regular price
- Discount = Percent of discount × Regular price
- Sale price = Regular price – discount
- Sales tax: The amount of the rate of the cost, which is added to the total
- Sales tax = Rate × Total cost
- Total due = Total cost + Sales tax

### Discount and Sales Tax

- 10% = 0.10
- discount = ($60)(0.10)

- 20% = 0.20
- discount = ($120)(0.20)

- 15% = 0.15
- discount = ($100)(0.15)

- 30% = 0.30
- discount = ($150)(0.30)

- 12% = 0.12
- discount = ($3500)(0.12)

- 15% = .15
- sales tax = ($20)(.15)

- 60% = .60
- sales tax = ($65)(.60)

- 20% = .20
- sales tax = ($55)(.20)

- 10% = .10
- sales tax = ($35)(.10) = $3.50
- total = $35.00 + $3.50

- 20% = .20
- sales tax = ($65)(.20) = $13
- total = $65 + $13

*These practice questions are only helpful when you work on them offline on a piece of paper and then use the solution steps function to check your answer.

Answer

### Discount and Sales Tax

Lecture Slides are screen-captured images of important points in the lecture. Students can download and print out these lecture slide images to do practice problems as well as take notes while watching the lecture.

- Intro 0:00
- Discount 0:19
- Discount
- Sale Price
- Sales Tax 2:24
- Sales Tax
- Total Due
- Extra Example 1: Finding the Discount 3:43
- Extra Example 2: Finding the Sale Price 6:28
- Extra Example 3: Finding the Sale Tax 11:14
- Extra Example 4: Finding the Total Due 14:08

### Basic Math Online Course

### Transcription: Discount and Sales Tax

*Welcome back to Eduator.com.*0000

*For the next lesson, we are going to go over discount and sales tax*0002

*and how to calculate the amount of discount and how much sales tax we have to pay.*0005

*We all have bought something that was on sale.*0011

*We all have had to pay sales tax so this should be a little bit familiar.*0014

*First let's go over discount.*0021

*The discount we know is how much we have to subtract from our total amount that we have to pay.*0023

*It is the amount of decrease; decrease is getting less.*0031

*We are going to have to subtract from the regular price.*0035

*Before we subtract however much we are going to be saving,*0038

*we have to be able to figure out how to find how much we are going to save.*0043

*Meaning if you are going to buy something,*0048

*let's say you want to buy a soda and that soda is 10 percent off.*0051

*How are you going to know how much you are going to subtract?*0057

*How much less you are going to pay for that soda?*0060

*Discount is the percent of the discount multiplied to the regular price.*0065

*How much you are supposed to be paying for that*0074

*multiplied to the percent will be how much you are going to save.*0077

*To find how much you are going to be paying, your new price, your sale price,*0084

*it is going to be the regular price, how much you were supposed to pay,*0091

*minus how much you are going to save, the discount amount.*0095

*Again discount is money; percent of discount, we know it is percent.*0099

*Times the regular price; this is also money.*0110

*The sale price, we know this is all going to be in money.*0115

*The important thing to remember is that to figure out how much your discount is going to be,*0123

*you have to multiply the percent times the regular price.*0129

*All of this is going to equal this, the discount.*0134

*Sales tax; sales tax is the amount that you have to pay based on the total cost.*0146

*There is a percent; you have to pay a percent of that total cost.*0157

*When you multiply the rate, that percent, with the total cost,*0163

*that is going to give you how much you have to pay in sales tax.*0173

*For sales tax, once you figure out you have to pay however much in sales in the tax,*0182

*then you have to add it to your total cost.*0189

*How much your total balance came out to, how much everything came out to, plus the sales tax.*0195

*You have to pay that together; that will be how much you now owe.*0200

*Again the rate, the percent, times the total cost is going to give you*0207

*how much you have to pay, how much additional amount that you have to pay.*0212

*That is all going to equal that right there.*0218

*Let's do a few examples.*0224

*A pair of shoes that regularly sell for 50 dollars are on sale for 10 percent off.*0226

*Find the discount; regular price is 50 dollars.*0232

*If it is not on sale, then you would be paying the 50 dollars.*0239

*10 percent off; find the discount.*0243

*We want to know how much we are going to be saving.*0245

*To find the discount, you are going to multiply the regular price, the 50 dollars,*0252

*times it by the percent of the discount; that is 10 percent.*0264

*Remember whenever you use percents in some kind of equation,*0272

*when you are solving with percent, you have to change it to decimal.*0281

*10 percent in decimal, you put the decimal point at the end*0284

*because we don't see one so it is always at the end.*0292

*You are going to move it two spaces to the left because remember decimal is small number.*0294

*Think of decimal as small.*0303

*You have to make the number smaller by moving it to the left.*0305

*This is going to be 50 times 0.10 or 0.1; remember 0.*0309

*If it is at the end of a number and it is behind the decimal point, then you can drop it.*0318

*That is going to equal the discount.*0325

*50 times 0.10 or 0.1; I will just put 0.10.*0328

*That is 0; 0; 1 times 0 is 0; 1 times 5 is 5.*0337

*You can put a 0 there; you can put a 0 there.*0345

*We add; it is going to be 5; 0; 0.*0348

*How many numbers do you have behind decimal points?--we have two.*0352

*Start at the end here; you are going to go one, two.*0355

*My discount is going to be 5.00 which is the same thing in money.*0362

*It is going to be 5 dollars.*0371

*That is how much the discount is going to be.*0373

*That is how much you are saving because again 10 percent of the regular price is 5 dollars.*0374

*That is the discount amount.*0381

*That is all they are asking for; find the discount; 5 dollars.*0383

*The next example, a math textbook is 5 percent off.*0389

*If the original price is 100 dollars, what is the sale price?*0393

*The textbook originally cost 100 dollars; 100 dollars.*0398

*To find the discount... they are asking for the new price.*0406

*The sale price is the new price.*0410

*After you take away how much you are saving, that is going to be the new price.*0412

*Before we do that, we have to know what we are going to subtract.*0417

*What is the discount amount?*0421

*Discount is going to be the original price, the 100 dollars*0424

*multiplied to the discount rate, percent of discount; 5 percent.*0431

*Again we have to change this to a decimal.*0440

*You can't solve anything out with percents.*0442

*5 percent to decimal is going to be... start here.*0445

*You are going to go one, two; 0.05.*0449

*That is 100 times 0.05; then just multiply it; 100 times 0.05.*0457

*That is 0 times 5 is 0; that is 0; 5 times 1 is 5.*0470

*Here it is just 0, 0, 0; it is not going to change anything.*0477

*We can write it in if you want; fill in the empty spaces with 0s.*0482

*Add it; it is going to be 5, 0, 0.*0486

*I don't have to add this; 0 in the front is nothing.*0490

*How many numbers do I have behind decimal points?--I have two only.*0494

*Here nothing; here two; in all, I have two.*0500

*Start here; you are going to go one, two; place it there.*0506

*This is going to be 5 dollars.*0511

*Whenever you multiply a decimal by 100, remember you can just take this decimal point.*0523

*Whenever you multiply a decimal number or any number with a number that is a multiple of 10,*0532

*meaning 10, 100, 1000, 10000, 100000, then however many number of 0s you have*0538

*is how many spaces you are going to move to the right.*0548

*Because if you are multiplying, then you are getting bigger so you have to move to the right.*0551

*That will be two 0s; it is going to go one, two.*0556

*It is going to be 5.05 which is that right there.*0560

*Let's say we are going to multiply this number 0.05 times 10.*0565

*Let's say you are going to multiply it by 10.*0571

*10 only has one 0; then you would move this decimal place over one time.*0573

*It would be 0.5 or 0.5 if you multiply it by 10.*0579

*If you multiply it by 1000, you have three 0s.*0584

*You would move the decimal point over one, two, three times.*0587

*That will be 50; that is a shortcut.*0591

*Again that is only when you have 1 with 0s, a number like 10 or 100 or 1000, so on.*0595

*My discount amount is 5 dollars; that is how much I am saving.*0602

*I have to take the original price, how much I am supposed to be paying.*0607

*The sale price then is my 100 dollars or the original price of 100 dollars*0613

*minus however much I am going to be saving, the discount.*0624

*My new amount, the new price that I have to pay, 100 minus 5 is 95 dollars.*0630

*If you want to solve it out, you can change this to a 10.*0645

*This becomes 9; 10 minus 5 is 5; bring down the 9.*0653

*95 dollars; that is my new price.*0663

*Let's go over sales tax now.*0677

*A shirt cost 10 dollars; find the sales tax if the rate is 10 percent.*0681

*Now we have to actually pay more because sales tax we have to*0688

*add to our balance or add to how much we have to pay.*0691

*The original cost is 10 dollars.*0697

*To find how much the sales tax is going to be, I am going to take that 10 dollars.*0700

*Then multiply it to the 10 percent, the rate, the sales tax rate.*0713

*Again I want to change this percent to a decimal; 10 percent to decimal.*0721

*Start here; you are going to go one, two; 0.10 or 0.1.*0727

*Again the 0 is at the end of a number behind the decimal point.*0733

*You can just drop it; 10 times 0.10 or 0.1.*0736

*Look we can use our shortcut rule because we have a decimal*0749

*or we have a number that is being multiplied to 10, 1 with a 0.*0752

*How many 0s do I see here?--just one.*0758

*I can take this decimal point; I can just move it over one space.*0761

*If I were to multiply this number by 100, I have two 0s.*0769

*I can move this over two spaces to the right.*0775

*Be careful you don't move it to the left.*0778

*If you move it to the left, you are going to make your number smaller.*0780

*You have to move it to the right so that you want a bigger whole number.*0784

*Again 100, you are going to move it two spaces over.*0791

*If it is 1000, you have three 0s in 1000.*0792

*You are going to move it over three spaces.*0796

*You have to fill in your empty spaces with 0s.*0798

*Let's get rid of that 100; 10 times 0.10 or 0.1 is 1.0.*0803

*Remember I move the decimal place over once because of that number.*0816

*It is 1.0 which is the same thing as 1.*0820

*My sales tax is going to be 1; let me move this over.*0826

*Give my dollar sign some room; my sales tax is going to be 1 dollar.*0834

*That is how much I have to pay in sales tax*0838

*for my shirt that costs 10 dollars if the tax rate is 10 percent.*0840

*The next example, we are going to buy a CD that costs 14 dollars.*0850

*It is not on sale even though that is better on sale.*0855

*It has 10 percent sales tax; let's see, sales tax.*0860

*What are we looking for?--total amount that we are going to end up paying.*0874

*Before we figure out the total amount, we need to know how much we are going to pay for sales tax.*0878

*The total due or the cost is going to be 14 dollars.*0887

*Times it by the sales tax rate which is 10 percent.*0893

*Again change this to a decimal; this is 14; this is one, two.*0900

*That is 0.10 or 0.1; 0.10, you can just drop the 0 if you want.*0907

*0; 0; 1 times 4 is 4; 1 times 1 is 1.*0920

*Put 0s in those spaces; add them; 0 plus 1 is 1.*0928

*0 plus 4 is 4; 0 plus 0 is 0; 140.*0933

*How many numbers do I have behind decimal points? I have two.*0938

*From here, I am going to go one, two.*0943

*It is going to be 1.40; that is money.*0947

*A dollar forty is how much I have to pay in addition to my 14 dollars I have to pay for the CD.*0959

*Total due, total is going to be the 14 dollars plus the dollar forty.*0969

*14 is the same thing as 14.00; plus 1.40.*0982

*When you add numbers with decimal points, you have to make sure*0991

*the decimal points are lined up, the two are lined up like this.*0997

*All the rest of the numbers are aligned also.*1002

*This is 0; this is 4; bring down the decimal point.*1006

*4 plus 1 is 5; 1; bring it down.*1012

*How much am I paying?--15 dollars and 40 cents.*1016

*That is how much I have to pay for a 14 dollar CD if I have to pay for sales tax.*1025

*That is it for this lesson; thank you for watching Educator.com.*1032

0 answers

Post by Karina Herrera on January 5, 2017

Your lessons are fantastic, thank you so much!

1 answer

Last reply by: zoia kogay

Thu May 14, 2015 6:40 PM

Post by Corinne Lee on July 26, 2011

great vid