Subject: General Aptitude · Chapter: Area · Exam: 2007 · Marks: · Difficulty:
If each side of a square is increased by 50\%, the ratio of the area of the resulting square to that of the given square is
(a)4 : 5
(b)5 : 4
(c)4 : 9
(d)9 : 4
Answer
Answer (as printed): D
Explanation
Let the original length of each side be $x$. Then, new length $=150 \%$ of $x=\left(\frac{150}{100} x\right)=\frac{3 x}{2}$. ∴ Required ratio $=\frac{\left(\frac{3 x}{2}\right)^{2}}{x^{2}}=\frac{9}{4}=9: 4$.
Explanation as extracted from the printed page; notation may be imperfect.