Type of answer: 10% of 20% of 30%

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In summary, to find 10% of 20% of 30%, we can use the equation of finding percentage and multiply 10/100 by 20/100 by 30/100, giving us an answer of 0.006. To convert this to a percentage, we multiply by 100, giving us a final answer of 0.6%. While 20% of 50 is 10, it is correct to say that 20% of 50% is 10%. Therefore, the answer of 10% of 20% of 30% should be given as a percentage, not a decimal.
  • #1
zak100
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Homework Statement


What is10% of 20% of 30%?

Hi,
I have a confusion:
If we are asked to find 20% of 50, then it would be:
20/100 * 50, (Note answer won’t be in percentage) [/B]

Now 10% of 20% of 30% should be:

10/100 * 20/100 * 30/100

=0.006
The above answer should not be in percentage. Am I right or not??




Homework Equations


same as the equation of finding percentage

The Attempt at a Solution


see above.

Some body please guide me whether the answer of 10% of 20% of 30% would be in percentage or not. In order to convert it into percentage we have to multiply by 100??Yes/No??.
Zulfi.
 
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  • #2
I would answer in percentage.
 
  • #3
zak100 said:

Homework Statement


What is10% of 20% of 30%?
[/B]
Hi,
I have a confusion:
If we are asked to find 20% of 50, then it would be:
20/100 * 50, (Note answer won’t be in percentage)

Now 10% of 20% of 30% should be:

10/100 * 20/100 * 30/100

=0.006
The above answer should not be in percentage. Am I right or not??

Homework Equations


same as the equation of finding percentage

The Attempt at a Solution


see above.

Some body please guide me whether the answer of 10% of 20% of 30% would be in percentage or not. In order to convert it into percentage we have to multiply by 100??Yes/No??.
Zulfi.
Zulfi,

I expect that it makes sense to give the answer as a percent.

While 20% of 50 is 10, and not 10%, it does make sense to say that 20% of 50% is 10% .
 
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  • #4
Hi,
Thanks for providing this distinction between the two.

Zulfi.
 
  • #5
Yes, in order to get back to percent, you need to multiply by 100. You can "almost" think of percent like units, if it helps. But it really is a rate (which operates on other quantities), not an actual unit. But it may help you to keep track of what to do.

So think of percent as "per hundred" (like there are 100 cents in a dollar, 100 years in a century, etc.) So 20% becomes 20*(1/100) = 0.2 which is the number that you use to multiply other numbers by. So if you have 0.006 and want to get to percent, try this:
0.006 = x*(1/100), and solve for x. Multiply both by 100 and get 100*0.006 = x, and 0.6 = x, since x is 0.6 it is 0.6%
 

Related to Type of answer: 10% of 20% of 30%

1. What does the phrase "10% of 20% of 30%" mean?

The phrase "10% of 20% of 30%" is a mathematical expression that represents a percentage of a percentage of another percentage. In other words, it is a way to express a fraction of a fraction of a whole number.

2. How do I calculate 10% of 20% of 30%?

To calculate 10% of 20% of 30%, you can use the formula (0.1)(0.2)(0.3) or simply multiply 10% (0.1) by 20% (0.2), which equals 0.02. Then, multiply 0.02 by 30%, which equals 0.006 or 0.6%. This means that 10% of 20% of 30% is equivalent to 0.6% of the whole number.

3. What is the significance of using "10% of 20% of 30%" in calculations?

The use of "10% of 20% of 30%" in calculations allows for more precise and specific calculations when dealing with percentages. It is also a way to break down a larger percentage into smaller portions, making it easier to understand and work with in calculations.

4. Can "10% of 20% of 30%" be converted into a decimal or fraction?

Yes, "10% of 20% of 30%" can be converted into a decimal or fraction. As mentioned in question 2, the decimal equivalent of 10% of 20% of 30% is 0.006 or 0.6%. This can also be expressed as the fraction 6/1000 or 3/500.

5. How is "10% of 20% of 30%" used in real-life situations?

The concept of "10% of 20% of 30%" can be applied in various real-life situations, such as calculating sales tax or discounts. For example, if an item is on sale for 30% off and there is an additional 20% off at the register, you can use the formula in question 2 to determine the total discount of 10% of the original price. It can also be used in financial analysis or scientific research to calculate small percentages of a larger value.

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