Steply

A TV costs $480. It is 15% off. What is the sale price?

Step by step, with the reason for every step · Percents and money · Foundations

Step by step

The question

Question: A TV costs $480.

It is 15% off.

What is the sale price?

1 Find the discount

Percent means out of 100.

So 15% is 15 divided by 100: 0.15.

The point moves 2 places to the left.

15% = 15 ÷ 100 = 0.15

The discount is 15% of $480.

"Of" means times: 0.15 times $480.

That is $72.

discount = 0.15 × $480 = $72

To multiply decimals: first 15 times 480, as whole numbers.

That is 7200.

Then count the decimal places: 2.

So it is 72.00.

15 × 480 = 7200
2 decimal places: 72.00

Careful!

The discount is the money we save.

We still pay the rest.

Careful: $72 is what we save, not what we pay

2 Take it off

A discount comes off the price.

$480 minus $72 is $408.

sale price = $480 − $72 = $408

So the sale price is $408.

3 Check

Let's check another way: we pay 100% minus 15%: 85% of the price.

0.85 times $480 is $408.

The same.

So the answer is right!

100% − 15% = 85%: 0.85 × $480 = $408

Let's look back.

First: find the discount.

Then: take it off.

Last: check.

Answer
sale price = $480 − $72 = $408

Your turn

Try this one yourself, then check:

Show the answer
sale price: $380

More from Percents and money

The whole lesson: Percents and money →