Question

The numerator of a fraction is increased by 300% and the denominator is increased by 500%, the resultant fraction is $\frac{5}{12}$. What was the original fraction?

• A. $\frac{8}{5}$
• B. $\frac{5}{11}$
• C. $\frac{12}{5}$
• D. $\frac{5}{7}$
• 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,
$\frac{x\times 400}{y\times 600}=\frac{5}{12}\Rightarrow \frac{x}{y}=\frac{5}{12}\times \frac{6}{4}=\frac{5}{8}$