If 3 A=5 B and 4 B=6 C, then A: C is equal to · ABC26GN2995
Subject: General Aptitude · Chapter: Ratio and Proportion
If $3 A=5 B$ and $4 B=6 C$, then $A: C$ is equal to
(a)2 : 5
(b)3 : 5
(c)4 : 5
(d)5 : 2
Answer
Explanation
$3 A=5 B$ and $4 B=6 C \Rightarrow \frac{A}{B}=\frac{5}{3}$ and $\frac{B}{C}=\frac{6}{4}=\frac{3}{2}$ $$\Rightarrow \frac{A}{C}=\left(\frac{A}{B} \times \frac{B}{C}\right)=\frac{5}{3} \times \frac{3}{2}=\frac{5}{2} \Rightarrow A: C=5: 2 .$$
Explanation as extracted from the printed page; notation may be imperfect.
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