If the Numerator of the fraction is increased by the 600% and Denominator is increased by 200 % The resulting fraction is $$2\frac{4}{5}$$ . Then what is the original Fraction ?
1). $$\frac{4}{7}$$
2). $$\frac{13}{12}$$
3). $$\frac{11}{12}$$
4). $$\frac{6}{5}$$
Let the numerator = $x$ and denominator = $y$
If numerator is increased by 600%, => New numerator = $7x$
Similarly, new denominator = $3y$
=> Fraction = $\frac{7x}{3y} = 2\frac{4}{5}$
=> $\frac{7x}{3y}=\frac{14}{5}$
=> $\frac{x}{y} = \frac{14}{5} \times \frac{3}{7}$
=> $\frac{x}{y}=\frac{6}{5}$
=> Ans - (D)