ABC26GN2339 · Percentage
Subject: General Aptitude · Chapter: Percentage · Exam: · Marks: · Difficulty:
If $A$ is 150 percent of $B$, then $B$ is what percent of $(A+B)$ ?
(a)$33 \frac{1}{3} \%$
(b)40\%
(c)$66 \frac{2}{3} \%$
(d)75\%
Answer
Explanation
$A=150 \%$ of $B \Rightarrow A=\frac{150}{100} B \Rightarrow \frac{A}{B}=\frac{3}{2} \Rightarrow \frac{A}{B}+1=\frac{3}{2}+1$ $$\Rightarrow \frac{A+B}{B}=\frac{5}{2} \Rightarrow \frac{B}{A+B}=\frac{2}{5} .$$ $\quad$ ∴ $\quad$ Required percentage $=\left(\frac{B}{A+B} \times 100\right) \%$ $$=\left(\frac{2}{5} \times 100\right) \%=40 \% .$$
Explanation as extracted from the printed page; notation may be imperfect.
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