ABC26GN2331 · Percentage

Subject: General Aptitude · Chapter: Percentage · Exam: · Marks: · Difficulty:

If 20\% of $A=50 \%$ of $B$, what percentage of $A$ is $B$ ?

(a)20

(b)30

(c)40

(d)50

Answer

Answer (as printed): C

Explanation

20\% of $A=50 \%$ of $B \Rightarrow \frac{20}{100} \times A=\frac{50}{100} \times B$ $$\Rightarrow \frac{A}{5}=\frac{B}{2} \Rightarrow B=\frac{2 A}{5} .$$ Required percentage $=\left(\frac{B}{A} \times 100\right) \%$ $$=\left(\frac{2 A}{5} \times \frac{1}{A} \times 100\right) \%=40 \% .$$

Explanation as extracted from the printed page; notation may be imperfect.

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