If $0.7$ of one number be equal to $0.075$ of another, the ratio of the two numbers is

3 : 35

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3 : 28

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28 : 3

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2 : 27

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Solution

The correct option is B $3 : 28$
$x \times 0.7 = y \times 0.075$
$∴ \frac{x}{y} = \frac{.075}{.7} = \frac{75}{700} = \frac{3}{28}$

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The sum of two natural numbers is 3 and the difference of their reciprocals is $\frac{3}{28}$ . Find the numbers.

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