If $10 %$ of $m$ is the same as $20 %$ of $n$ , then $m : n$ is equal to

2 : 1

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1 : 2

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1 : 10

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1 : 20

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Solution

The correct option is A $2 : 1$
Given that $10 %$ of $m = 20 %$ of $n$
$\Rightarrow m \times \frac{10}{100} = n \times \frac{20}{100}$
$\Rightarrow \frac{m}{n} = \frac{20}{100} \times \frac{100}{10} = \frac{20}{10} = \frac{2}{1}$
$\Rightarrow m : n = 2 : 1$
Hence, option A is correct.

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