Number System Ques 26

Question

If the numerator of a fraction is increased by $150 \%$ and the denominator of the fraction is increased by $300 \%$, the resultant fraction is $\frac{5}{18}$. What is the original fraction?

(1) $\frac{4}{9}$

(2) $\frac{4}{5}$

(3) $\frac{8}{9}$

(4) $\frac{8}{11}$

(5) None of these

(Punjab & Sind Bank PO Exam. 23.01.2011)

Show Answer

Answer: (1)

Solution: (1)

Let the original fraction be $\frac{x}{y}$.

$\therefore \frac{x \times 250}{y \times 400}=\frac{5}{18}$

$\Rightarrow \frac{x}{y}=\frac{5}{18} \times \frac{400}{250}=\frac{4}{9}$