Question

The numerator and denominator of a fraction is increased and decreased by 15% and 20% respectively and the fraction becomes 230/240. What is the original fraction

Answer 1

let the original fraction be x/y

as per the question

$= > \frac{x + x \times 15\%}{y - y \times 20\%} = \frac{230}{240} \\ = > \frac{115x}{80y} = \frac{23}{24} \\ = > \frac{x}{y} = \frac{23 \times 80}{24 \times 115} \\ = > \frac{x}{y} = \frac{46}{69}$