The numerator of a fraction is decreased by 25% and the denominator is increased by 250%. If the resultant fraction is $frac{6}{5}$ what is the original fraction?

$frac{{x - frac{{25x}}{{100}}}}{{y + frac{{250y}}{{100}}}} = frac{6}{5}$

$frac{{75x}}{{350y}} = frac{6}{5}$

$75x = 420y$

$frac{x}{y} = frac{{420}}{{75}}$

$frac{x}{y} = frac{{28}}{5}$