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