Question

If the numerator of a fraction is increased by $20\%$ and the denominator is increased by $25\%$, the fraction obtained is $\frac{3}{5}$. What was the original fraction?

• A.
• B.
• C.
• D. Cannot be determined
• E. None of these

Answer 1

The correct option is E None of these

Let the original fraction be $\frac{x}{y}$.
According to the question,
$\frac{x\times \frac{120}{100}}{y\times \frac{125}{100}}=\frac{3}{5}\Rightarrow \frac{x\times 24}{y\times 25}=\frac{3}{5}\Rightarrow \frac{x}{y}=\frac{3}{5}\times \frac{25}{24}=\frac{5}{8}$