If $0.1 %$ of $m$ is equal to $10 %$ of $n$ , then $m$ is what percent of $10 n$ ?

\frac{1}{1000} %

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1 %

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10 %

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1000 %

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Solution

The correct option is D $1000 %$
Given that $\frac{0.1}{100} \times m = \frac{10}{100} \times n$

$\Rightarrow m = \frac{10 n}{0.1}$

$\Rightarrow m = \frac{10 n}{1} \times 10$

$\Rightarrow \frac{m}{10 n} = 10$

$\Rightarrow (\begin{matrix} \frac{m}{10 n} \times 100 \end{matrix}) % = 10 \times 100 %$

$\Rightarrow m$ is $1000 %$ of $10 n$

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If 0.1% of m is equal to 10% of n, then m is what percent of 10n?

The correct option is D 1000%Given that 0.1100×m=10100×n⇒m=10n0.1⇒m=10n1×10⇒m10n=10⇒(m10n×100)%=10×100%⇒m is 1000% of 10n

If $0.1 %$ of $m$ is equal to $10 %$ of $n$ , then $m$ is what percent of $10 n$ ?