If $30 %$ of $140 = x %$ of $840$ , then the value of $x$ is _________.

5

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15

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24

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60

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Solution

The correct option is A $5$
Given that $30 %$ of $140$ $=$ $x %$ of $840$
Thus $\frac{30}{100} \times 140 = \frac{x}{100} \times 840$
$\Rightarrow 42 = 8.4 x$
$\Rightarrow x = 5$

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