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

A toy costing $40 is reduced by 20%

What is the new price following the discount?

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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

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1

Understand the problem

A toy costing $40 is reduced by 20%

What is the new price following the discount?

2

Step-by-step solution

40−8=32 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)andthediscount(2040) and the discount (20%).</p><p>This information can be inserted into the following formula:</p><p><span class="katex">\( \frac{Price\times\text{Percentage}}{100} Which allows us to find the percentage of something.

We insert the given information:

40×20100= 40\times\frac{20}{100}=
800100= \frac{800}{100}=

8 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

3

Final Answer

32

Practice Quiz

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Calculate 30 over 100 as a percentage:

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