discount-formula-finding-the-discount-and-original-price

Use the Discount Formula in order to find the discount price, and the original price.

Transcript

Welcome to MooMooMath where we upload a new Math video everyday.

Today this video covers how to work discounted prices and percents.

Example problem: What is the discounted price of a $55 shirt

that has been marked down 15%?

You will often see this in stores for things on sale.

You can use the discount formula:

Original price-(original price times discount in decimal form) = Discounted price

Keep this in mind.

Here we go.

Original price = 55 - 55 times .15 equals the discounted price.

55 x .15 = 8.25

Now 55 - 8.25 = a discounted price of 46.75

Now there is a shortcut to this, if you like you can just multiply 55 times .85 which equal 1-15 =.85, and that will get you the same answer.

Sample problem two,

What is the discounted price of a $45 watch marked down 10%?

Take the original price minus the original price times the decimal form of the percent, which is .10. and this equals the discounted price.

I know 45 x .10 = 4.50

Next we have 45 - 4.50 which equals 40.50

Again the shortcut method is to take 1 - .10 = .90

Next multiply .90 times 45 and it equals 40.50

The final problem is, "If the discounted price of a shirt that is marked down 20% is $30, what was the original price?

Again, use the discount formula: " Original price-(original price times discount in decimal form) = Discounted price"

Now just fill in what we are given.

Original price is x, again the original price is x times the discount which is 20%, and I will write it as a decimal.

For the decimal I just move two places to the left, and this will equal our discounted price of $30

x times .20 equals .20x. I will put a 1 in front of this x so you can see what I'm doing.

Bring the 30 down.

Combine like terms 1x-.20x equals .80x

Divide each side by .80.

Finally x equals 30 divided by .80, which equals 37.50

I can check this by multiplying by our shortcut and I can just multiply by .80 and it equals the discounted price of $30

If you get your calculator out you can see that 37.50 times .80 equals 30.

So out original price equals $37.50

Hope this helps. MooMooMath uploads new Math video everyday.

You may enjoy..

Discounts and Sales Price

https://www.youtube.com/watch?v=VjliC92o7VU

Percentage word problem

https://www.youtube.com/watch?v=hKqD28xzcRo

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Please watch: "Study Skills Teacher's Secret Guide to your Best Grades"

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Tagged under: percents,discounts,discounted price,discount formula,calculate sales price,sales price,math,moomoomath,original price

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