Question

If the numerator of a fraction is increased by $200\%$ and the denominator is increased by $350\%$, the resultant fraction is $\frac{5}{12}$. What is the original fraction?

• A. $\frac{5}{9}$
• B. $\frac{5}{8}$
• C. $\frac{7}{12}$
• D. $\frac{11}{12}$
• E. None of these

Answer 1

Answer: (B)

$\frac{5}{8}$

Let the numerator be $x$.

Let the denominator be $y$.

$\frac{x+\frac{200}{100}x}{y+\frac{350}{100}y}=\frac{5}{12}\Rightarrow \frac{300x}{450y}=\frac{5}{12}\Rightarrow \frac{x}{y}=\frac{5}{12}\times \frac{450}{300}=\frac{5}{8}$