Hopping Percentage

Algebra Level 2

True or False?

A % × B % × C = A % × B × C % = A × B % × C % A\% \times B \% \times C \; = \; A\% \times B\times C \% \; = \; A\times B \% \times C\%

True False

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1 solution

Hung Woei Neoh
Jul 1, 2016

Relevant wiki: Multiplying Percentages

A % × B % × C = A 100 × B 100 × C = A B C 10000 A % × B × C % = A 100 × B × C 100 = A B C 10000 A × B % × C % = A × B 100 × C 100 = A B C 10000 A\%\times B\%\times C = \dfrac{A}{100}\times \dfrac{B}{100} \times C = \dfrac{ABC}{10000}\\ A\%\times B \times C\% =\dfrac{A}{100} \times B \times \dfrac{C}{100} = \dfrac{ABC}{10000}\\ A\times B\% \times C\%= A \times \dfrac{B}{100} \times \dfrac{C}{100} = \dfrac{ABC}{10000}

From here, we can see that all 3 3 expressions yield the same result. Therefore,

A % × B % × C = A % × B × C % = A × B % × C % A\%\times B\%\times C = A\%\times B \times C\% =A\times B\% \times C\%

The answer is True \boxed{\text{True}}

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