Practice Test Discussion

If the numerator of a fraction is increased by 200% and the denominator of the fraction is increased by 150%, the resultant fraction is $\frac{7}{12}$ What is the original 10 fraction?

[Maharashtra (PO), 2008]

$\frac{3}{4}$

$\frac{7}{12}$

$\frac{7}{11}$

$\frac{9}{11}$

None of these

Explanation

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

Then,

$\Rightarrow \frac{x \times 300}{y \times 250} = \frac{7}{10} \Rightarrow \frac{x}{y} = \frac{7 \times 5}{10 \times 6} = \frac{35}{60} \Rightarrow \frac{x}{y} = \frac{7}{12}$

Hence, Option B is correct.

Arithmetics

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