ABC26GN2259 · Percentage
Subject: General Aptitude · Chapter: Percentage · Exam: 2011 · Marks: · Difficulty:
When 125 is subtracted from a number, it reduces to its 37.5 percent. What is 25 percent of that number?
(a)50
(b)75
(c)125
(d)175
(e)None of these
Answer
Explanation
Let the number be $x$. Then, $x-125=37 \frac{1}{2} \%$ of $x \Rightarrow x-125=\frac{75}{2} \times \frac{1}{100} \times x=\frac{3 x}{8}$ $\Rightarrow x-\frac{3 x}{8}=125 \Rightarrow \frac{5 x}{8}=125$ $\Rightarrow x=\left(\frac{125 \times 8}{5}\right)=200$. $\therefore 25 \%$ of $200=\left(\frac{25}{100} \times 200\right)=50$.
Explanation as extracted from the printed page; notation may be imperfect.
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