When any number is divided by 12, then dividend becomes 1/4 th of the other number. By how much percent first… · ABC26GN2265
Subject: General Aptitude · Chapter: Percentage
When any number is divided by 12, then dividend becomes $\frac{1}{4}$ th of the other number. By how much percent first number is greater than the second number?
(a)150
(b)200
(c)300
(d)Data inadequate
Answer
Answer (as printed): B
Explanation
Let the numbers be $x$ and $y$. Then, $\frac{x}{12}=\frac{y}{4} \Leftrightarrow x=3 y$. ∴ Required percentage $=\left(\frac{x-y}{y} \times 100\right) \%$ $=\left(\frac{2 y}{y} \times 100\right) \%=200 \%$.
Explanation as extracted from the printed page; notation may be imperfect.