Question

In a fraction, numerator is increased by 25% and the denominator is diminished by 10%. $Thenewfractionobtainedis\frac{5}{9}$.
The original fraction is

• A. $\frac{2}{5}$
• B. $\frac{5}{9}$
• C. $\frac{3}{5}$
• D. None of these

Answer 1

The correct option is A $\frac{2}{5}$

$Letthefractionbe\frac{x}{y}$

Then,
$\frac{x+0.25x}{y-0.10y}=\frac{5}{9},\frac{x\left(1.25\right)}{y\left(0.9\right)}=\frac{5}{9}$

$\frac{x}{y}=\frac{5}{9}\times \frac{90}{125},\Rightarrow \frac{x}{y}=\frac{2}{5}$