Practice Test Discussion

If the numerator of a fraction is increased by 400% and the denominator is increased by 500%. The resultant fraction is $\frac{20}{27}$ . what was the original fraction?

[New India Insurance,2009]

$\frac{9}{8}$

$\frac{11}{12}$

$\frac{3}{4}$

Cannot be determined

None of these

Explanation

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

Then,

$= \frac{x \times 500}{y \times 600} = \frac{20}{27} = \frac{x}{y} = \frac{120}{135} = \frac{x}{y} = \frac{8}{9}$

Hence, Option E is correct.

Arithmetics

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