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Word Problems/Percentage Calculation

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Question
Hello:

In the following percentage calculation, r = p X 1/100, does the calculation become r = (100 X r) X 1/100 if the "p" is isolated to the right hand side of the calculation?

I think that it would look like the following:
After multiplying both side of r = p X 1/100 by 100 the result would be 100 X r = p.

In the original calculation, I replaced "p" with (100 X r) since "p" now equals (r X 100).

My question is as follows: Is the following calculation correct since it has two r's in it?

r = (100 X r) X 1/100 Is this correct?

I thank you for your reply.

Answer
Hi Kenneth
You are right.
Here is a simple way to confirm it. Your equation is r = (100 X r) X 1/100. 100 in the numerator gets canceled by 100 in the denominator. Hence the equation will become r = r which is correct.
Thus you have derived a correct equation.

Thanks
Regards,
Pawan

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Pawan Musale

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I can answer questions wrapped in words. This includes questions related to Logic, Natural Numbers, Integers, Real Numbers, Complex Numbers, Number Theory, Geometry, Trigonometry, Graph Theory, Square Roots, Basic Integration, Profit-Loss problems, Work-Time problems, Equations etc.

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Tutoring on www.allexperts.com since long time.

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I am Bachelor of Engineering from the reputed institute in India.

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