If the numerator of a fraction is decreased by 80% and the denominator of the fraction is decreased by 60%, then the resultant fraction is $$\frac{5}{6}$$​. What is the original fraction?

Correct option is C

Given:
Numerator is decreased by 80% → New numerator = 20% of original numerator = $$\frac{1}{5}$$​  of original
Denominator is decreased by 60% → New denominator = 40% of original denominator =$$\frac{2}{5}$$ of original
Resultant fraction =$$\frac{5}{6}$$​​
Solution:
Let the original fraction be $$\frac{x}{y}$$.​

$$\frac{\text{New numerator}}{\text{New denominator}} = \frac{\frac{1}{5}x}{\frac{2}{5}y} = \frac{x}{2y}$$​​
​$$\frac{x}{2y} = \frac{5}{6}$$​
​$$\frac{x}{y} = \frac{5}{6} \times 2 = \frac{10}{6} = \frac{5}{3}$$​