Welcome 2016! Part 27

Algebra Level 2

15 % 60 % × 1 % = ? \large \sqrt{\dfrac{15 \%}{60 \%}\times 1\%} =\, ?

1 20 \dfrac{1}{20} 2 1 4 \dfrac{1}{4} 1 400 \dfrac{1}{400}

Anish Harsha by Anish Harsha , 20, India

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2 solutions

⇒ 15 % 60 % × 1 % \large \color{#EC7300}{\Rightarrow} \color{#302B94}{\sqrt{\dfrac{\color{#3D99F6}{15 \%}}{\color{#3D99F6}{60 \%}}\times \color{#20A900}{1\%}}}

⇒ 15 100 60 100 × 1 100 \large \color{#EC7300}{\Rightarrow} \color{#302B94}{\sqrt{\frac{\frac{\color{#3D99F6}{15}}{\color{#D61F06}{100}}}{\frac{\color{#3D99F6}{60}}{{\color{#D61F06}{100}}}} \times \dfrac{\color{#20A900}{1}}{\color{#D61F06}{100}}}}

⇒ 1 4 × 1 100 \large \color{#EC7300}{\Rightarrow} \color{#302B94}{\sqrt{\dfrac{\color{#20A900}{1}}{\color{#3D99F6}{4}}\times\dfrac{\color{#20A900}{1}}{\color{#D61F06}{100}}}}

⇒ 1 2 × 1 10 \large \color{#EC7300}{\Rightarrow} \dfrac{\color{#20A900}{1}}{\color{#3D99F6}{2}}\times\dfrac{\color{#20A900}{1}}{\color{#D61F06}{10}}

⇒ 1 20 \large \color{#EC7300}{\Rightarrow} \color{#BA33D6}{\boxed{\large{\dfrac{\color{#20A900}{1}}{\color{#D61F06}{20}}}}}

2 Helpful 0 Interesting 1 Brilliant 0 Confused

Really colourful !!

Akshat Sharda - 5 years, 5 months ago

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Thank you! :-)

A Former Brilliant Member - 5 years, 5 months ago
Rohit Udaiwal
Jan 4, 2016

15 100 60 100 × 1 100 \sqrt{\dfrac{\frac{15}{100}}{\frac{60}{{100}}} \times \dfrac{1}{100}} = 1 4 × 1 100 =\sqrt{\dfrac{1}{4}\times\dfrac{1}{100}} = 1 2 × 1 10 =\dfrac{1}{2}\times\dfrac{1}{10} = 1 20 . =\large{\dfrac{1}{20}}.

1 Helpful 0 Interesting 0 Brilliant 0 Confused

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