ABC26GN2999 · Ratio and Proportion
Subject: General Aptitude · Chapter: Ratio and Proportion · Exam: · Marks: · Difficulty:
If $A: B=2: 3, B: C=4: 5$ and $C: D=6: 7$, then $A: B: C: D$ is
(a)16 : 22 : 30 : 35
(b)16 : 24 : 15 : 35
(c)16 : 24 : 30 : 35
(d)18 : 24 : 30 : 35
Answer
Explanation
$A: B=2: 3, B: C=4: 5=\left(4 \times \frac{3}{4}\right):\left(5 \times \frac{3}{4}\right)=3: \frac{15}{4}$, $$\begin{aligned} & C: D=6: 7=\left(6 \times \frac{5}{8}\right):\left(7 \times \frac{5}{8}\right)=\frac{15}{4}: \frac{35}{8} . \\ & \Rightarrow A: B: C: D=2: 3: \frac{15}{4}: \frac{35}{8}=16: 24: 30: 35 . \end{aligned}$$
Explanation as extracted from the printed page; notation may be imperfect.
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