If x% of y + y% of 30 = 61% of xy, then x =

The correct answer is Option (1) → $\frac{1}{2}$

$x\% \,of\, y + y\% \,of\, 30 = 61\% \,of\, xy$

$⇒\frac{x}{100}×y+\frac{y}{100}×30=\frac{61}{100}×xy$

$⇒\frac{3y}{10}=\frac{60xy}{100x}$

$⇒1=\frac{20x}{10}$

$⇒x=\frac{10}{20}=\frac{1}{2}$