Practice Test Discussion

If the numerator of a fraction is increased by 20% and its denominator by 25%, then the fraction so obtained is $\frac{3}{5}$ . What is the original fraction?

[Syndicate Bank (PO) Exam, 2004]

$\frac{3}{5}$

$\frac{3}{8}$

$\frac{5}{8}$

Cannot be determined

None of these

Explanation

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

Then,

$\Rightarrow \frac{x \times 120}{y \times 125} = \frac{3}{5} R e q u i r e d a n s w e r i s \Rightarrow \frac{x}{y} = \frac{3 \times 125}{5 \times 24} \Rightarrow \frac{x}{y} = \frac{5}{8}$

Hence, Option C is correct.

Arithmetics

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