Practice Test Discussion

If the numerator of a fraction is increased by 500% and the denominator is increased by 300%. The resultant fraction is $2 \frac{4}{7}$ . What was the original fraction?

[IOB (PO), 2009]

$\frac{4}{7}$

$\frac{12}{7}$

$\frac{15}{4}$

$\frac{6}{5}$

None of these

Explanation

Let the original fraction be $\frac{x}{y}$

Then,

$\Rightarrow \frac{x \times 600}{y \times 400} = \frac{18}{7} \Rightarrow \frac{x}{y} = \frac{72}{42} \Rightarrow \frac{x}{y} = \frac{12}{7} .$

Hence, Option B is correct.

Arithmetics

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