Calculate 20% Discount: Finding New Price of $40 Item

Q: What's the difference between discount amount and sale price?

The discount amount is how much money you save ($8), while the sale price is what you actually pay ($32). Don't mix these up!

Q: How do I know if I should add or subtract the percentage?

For discounts, you always subtract because you're paying less. For tax or tips, you add because you're paying more than the original price.

Q: Can I use decimals instead of fractions for percentages?

Yes! 20% = 0.20, so you can calculate $ 40 \times 0.20 = 8 $. Both methods work perfectly!

Q: What if the discount percentage is larger than 50%?

The same process works! A 70% discount means you calculate $ \frac{70}{100} $ of the original price, then subtract that amount. The sale price will be quite low!

Percentage Discounts with Price Calculations

A toy costing $40 is reduced by 20%

What is the new price following the discount?

❤️ Continue Your Math Journey!

We have hundreds of course questions with personalized recommendations + Account 100% premium

Step-by-step video solution

Watch the teacher solve the problem with clear explanations

00:00 Determine the final price

00:06 Convert percentages to fractions

00:20 Break down 100 into factors of 20 and 5

00:26 Reduce wherever possible

00:29 20 percent is equivalent to one-fifth

00:33 Multiply one-fifth by the original price to determine the discount

00:40 Break down 40 into factors of 8 and 5

00:47 Reduce wherever possible

00:57 This is the discount, now subtract it from the original price

01:03 This is the solution

Step-by-step written solution

Follow each step carefully to understand the complete solution

Understand the problem

A toy costing $40 is reduced by 20%

What is the new price following the discount?

Step-by-step solution

$40-8=32$

In order to determine percentages, we must make use of the two pieces of information in our possession: the total amount ($40) and the discount (20%).

This information can be inserted into the following formula:

$\frac{Price\times\text{Percentage}}{100}$

Which allows us to find the percentage of something.

We insert the given information:

$40\times\frac{20}{100}=$

$\frac{800}{100}=$

$8$

We then discover that the value of the discount is $8.

But we are not finished yet!

We need to subtract the discount from the original amount in order to determine the sale price:
$40-8=32$

Final Answer

Key Points to Remember

Essential concepts to master this topic

Formula: Calculate discount amount using price × percentage ÷ 100
Technique: Find discount first: $40 \times \frac{20}{100} = 8$
Check: New price plus discount equals original: 32 + 8 = 40 ✓

Common Mistakes

Avoid these frequent errors

Confusing discount amount with final price
Don't think $8 is the final price when finding 20% of $40 = $8 is only the discount amount! Students often stop here and give $8 as the answer. Always subtract the discount from the original price to find the new price.

Practice Quiz

Test your knowledge with interactive questions

Calculate 15% of 100:

FAQ

Everything you need to know about this question

Why can't I just calculate 80% of $40 directly?

You absolutely can! Since a 20% discount means you pay 80% of the original price, $40 \times \frac{80}{100} = 32$ . This is actually a shortcut method that gives the same answer!

What's the difference between discount amount and sale price?

The discount amount is how much money you save ($8), while the sale price is what you actually pay ($32). Don't mix these up!

How do I know if I should add or subtract the percentage?

For discounts, you always subtract because you're paying less. For tax or tips, you add because you're paying more than the original price.

Can I use decimals instead of fractions for percentages?

Yes! 20% = 0.20, so you can calculate $40 \times 0.20 = 8$ . Both methods work perfectly!

What if the discount percentage is larger than 50%?

The same process works! A 70% discount means you calculate $\frac{70}{100}$ of the original price, then subtract that amount. The sale price will be quite low!

🌟 Unlock Your Math Potential

Get unlimited access to all 18 Percentage questions, detailed video solutions, and personalized progress tracking.

📹

Unlimited Video Solutions

Step-by-step explanations for every problem

📊

Progress Analytics

Track your mastery across all topics

🚫

Ad-Free Learning

Focus on math without distractions

No credit card required • Cancel anytime