If A: B=1/2: 3/8, B: C=1/3: 5/9 and C: D=5/6: 3/4, then the ratio A: B: C: D is · ABC26GN3001
Subject: General Aptitude · Chapter: Ratio and Proportion
If $A: B=\frac{1}{2}: \frac{3}{8}, B: C=\frac{1}{3}: \frac{5}{9}$ and $C: D=\frac{5}{6}: \frac{3}{4}$, then the ratio $A: B: C: D$ is
(a)4 : 6 : 8 : 10
(b)8 : 6 : 10 : 9
(c)6 : 8 : 9 : 10
(d)6 : 4 : 8 : 10
Answer
Explanation
$A: B=\frac{1}{2}: \frac{3}{8}=4: 3, B: C=\frac{1}{3}: \frac{5}{9}=3: 5$, $$\begin{aligned} & C: D=\frac{5}{6}: \frac{3}{4}=10: 9=5: \frac{9}{2} \\ & \therefore A: B: C: D=4: 3: 5: \frac{9}{2}=8: 6: 10: 9 . \end{aligned}$$
Explanation as extracted from the printed page; notation may be imperfect.
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