In a fraction, if numerator is increased by 40% and denominator is increased by 80%, then what fraction of… · ABC26GN2409
Subject: General Aptitude · Chapter: Percentage
In a fraction, if numerator is increased by 40\% and denominator is increased by 80\%, then what fraction of the original is the new fraction?
(a)$\frac{1}{2}$
(b)$\frac{7}{9}$
(c)$\frac{7}{18}$
(d)Data inadequate
Answer
Explanation
Let the original fraction be $\frac{x}{y}$. Then, new fraction $$\begin{aligned} & =\frac{140 \% \text { of } x}{180 \% \text { of } y}=\frac{140 x}{180 y}=\frac{7 x}{9 y} . \\ & \therefore \frac{\text { New fraction }}{\text { Original fraction }}=\left(\frac{7 x}{9 y} \times \frac{y}{x}\right)=\frac{7}{9} . \end{aligned}$$
Explanation as extracted from the printed page; notation may be imperfect.
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