The numerator of a fraction is increased by 20% and denominator is decreased by 20%. The value of the fraction becomes \(\frac{4}{5}\). The original fraction is:
Answer & explanation
Correct answer: option 2
Let the fraction is =\(\frac{x}{y}\)
ATQ,
⇒ 120% of x : 80% of y = 4 : 5
⇒ \(\frac{120x}{80y}\) = \(\frac{4}{5}\)
⇒ \(\frac{3x}{2y}\) = \(\frac{4}{5}\)
⇒ \(\frac{x}{y}\) = \(\frac{8}{15}\)