If A: B: C=2: 3: 5 and A=x% of (B+C), then x is equal to · ABC26GN3024

Subject: General Aptitude · Chapter: Ratio and Proportion · Exam: I.A.M. 2007

If $A: B: C=2: 3: 5$ and $A=x \%$ of $(B+C)$, then $x$ is equal to
(a)20
(b)24
(c)25
(d)28
Answer
Answer (as printed): C
Explanation
Let $A=2 k, B=3 k, C=5 k$. $A=x \%$ of $(B+C) \Rightarrow 2 k=x \%$ of $(3 k+5 k)=x \%$ of $8 k$ $$\Rightarrow \frac{x}{100}=\frac{2 k}{8 k}=\frac{1}{4} \Rightarrow x=\frac{100}{4}=25 .$$

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

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