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2 numbers are respectively 20% and 25% of a third number. what is the is percentage between first and second numbers?
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2 numbers are respectively 20% and 25% of a third number. what is the ...
Explanation:

Let the third number be x.

According to the question,


  • First number = 20% of x = 0.2x

  • Second number = 25% of x = 0.25x


To find the percentage between the first and second numbers, we need to find the difference between them and express it as a percentage of their average.


Solution:

Let's calculate the percentage difference between the first and second numbers.


  • Difference = Second number - First number

  • Difference = (0.25x) - (0.2x)

  • Difference = 0.05x


Let's calculate the average of the first and second numbers.


  • Average = (First number + Second number) / 2

  • Average = (0.2x + 0.25x) / 2

  • Average = 0.225x


Now, let's express the difference as a percentage of the average.


  • Percentage difference = (Difference / Average) x 100

  • Percentage difference = (0.05x / 0.225x) x 100

  • Percentage difference = 22.22%


Therefore, the percentage difference between the first and second numbers is 22.22%.
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