Calculate 20% Discount: Finding Price Reduction on $200 Coat

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

Discount amount is how much money you save ($40), while final price is what you actually pay ($160). Always check what the question is asking for!

Q: Can I solve this without converting to decimal?

Yes! You can use fractions: $ \$200 \times \frac{20}{100} = \frac{\$4000}{100} = \$40 $. Both methods give the same answer.

Q: What if the discount percentage is not a nice number like 20%?

The same formula works! For 17% discount: $ \$200 \times 0.17 = \$34 $. Just be careful with your decimal conversion.

Q: How can I check if my discount calculation is reasonable?

Think logically: 20% should be less than half of $200. Since $40 is much less than $100, our answer makes sense!

Percentage Discount with Dollar Calculations

The original price of a coat is $200. If the coat is discounted by 20%:
How much does the price of the coat decrease by after the discount?

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Step-by-step video solution

Watch the teacher solve the problem with clear explanations

00:10 Let's find the discounted price.

00:16 First, change the percentage into a fraction. This is how we start.

00:33 The fraction here is equal to twenty percent.

00:43 Now, multiply the fraction by the number itself to get the percentage.

00:59 Next, factor and simplify if you can.

01:19 And that's how we solve this problem. Great job!

Step-by-step written solution

Follow each step carefully to understand the complete solution

Understand the problem

The original price of a coat is $200. If the coat is discounted by 20%:
How much does the price of the coat decrease by after the discount?

Step-by-step solution

To solve this problem, we'll follow these steps:

Step 1: Identify the given information
Step 2: Apply the appropriate formula
Step 3: Perform the necessary calculations

Let's go through each step:
Step 1: The original price of the coat is $200, and the discount percentage is 20%.

Step 2: We use the formula to calculate the discount amount:
$\text{Discount Amount} = \text{Original Price} \times \left(\frac{\text{Discount Percentage}}{100}\right)$

Step 3: Substitute the given values into the formula:
$\text{Discount Amount} = 200 \times \left(\frac{20}{100}\right) = 200 \times 0.2 = 40$

Therefore, the price of the coat decreases by $\$40$ after the discount.

Final Answer

Key Points to Remember

Essential concepts to master this topic

Formula: Discount Amount = Original Price × (Discount %/100)
Technique: Convert 20% to decimal: 20/100 = 0.2, then multiply
Check: Verify $200 - $40 = $160 final price makes sense ✓

Common Mistakes

Avoid these frequent errors

Calculating final price instead of discount amount
Don't find what the coat costs after discount ($160) when asked for price decrease! The question asks how much the price decreases by, not the new selling price. Always read carefully: discount amount ($40) ≠ final price ($160).

Practice Quiz

Test your knowledge with interactive questions

Calculate 6% of 100:

FAQ

Everything you need to know about this question

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

Discount amount is how much money you save ($40), while final price is what you actually pay ($160). Always check what the question is asking for!

How do I convert a percentage to a decimal?

Divide the percentage by 100 or move the decimal point two places left. For example: $20\% = \frac{20}{100} = 0.2$

Can I solve this without converting to decimal?

Yes! You can use fractions: $\$200 \times \frac{20}{100} = \frac{\$4000}{100} = \$40$ . Both methods give the same answer.

What if the discount percentage is not a nice number like 20%?

The same formula works! For 17% discount: $\$200 \times 0.17 = \$34$ . Just be careful with your decimal conversion.

How can I check if my discount calculation is reasonable?

Think logically: 20% should be less than half of $200. Since $40 is much less than $100, our answer makes sense!

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