ABC26GN2997 · Ratio and Proportion

Subject: General Aptitude · Chapter: Ratio and Proportion · Exam: · Marks: · Difficulty:

In a business, the ratio of the capitals of $A$ and $B$ is 2 : 1, that of $B$ and $C$ is 4 : 3 and that of $D$ and $C$ is 6 : 5. Then the ratio of the capitals of $A$ and $D$ is

(a)9 : 20

(b)3 : 5

(c)5 : 3

(d)20 : 9

Answer

Answer (as printed): D

Explanation

$\frac{A}{B}=\frac{2}{1}, \frac{B}{C}=\frac{4}{3}, \frac{C}{D}=\frac{5}{6} \Rightarrow \frac{A}{D}$ $$=\left(\frac{A}{B} \times \frac{B}{C} \times \frac{C}{D}\right)=\left(\frac{2}{1} \times \frac{4}{3} \times \frac{5}{6}\right)=\frac{20}{9} \Rightarrow A: D=20: 9 .$$

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

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