The sum of two numbers is 28/25 of the first number. The second number is what percent of the first? · ABC26GN2261
Subject: General Aptitude · Chapter: Percentage
The sum of two numbers is $\frac{28}{25}$ of the first number. The second number is what percent of the first?
(a)12\%
(b)14\%
(c)16\%
(d)18\%
Answer
Answer (as printed): A
Explanation
Let the numbers be $x$ and $y$. Then, $x+y=\frac{28}{25} x \Leftrightarrow y=\frac{28}{25} x-x$ $\Leftrightarrow y=\frac{3}{25} x \Leftrightarrow \frac{y}{x}=\left(\frac{3}{25} \times 100\right) \%=12 \%$.
Explanation as extracted from the printed page; notation may be imperfect.