If A : B = 3 : 2, B : C = 4 : 3, C : D = 5 : 4, then A : D is?
Explanation:
A/B = 3/2, B/C = 4/3, C/D = 5/4
Here, B = 2A/3 and B = 4C/3
⇒ 2A/3 = 4C/3 ⇒ C = A/2
∴ C/D = A/2D = 5/4
⇒ A/D = (5 × 2)/4 = 5/2 or 5 : 2
Hence, option (a).
Alternately,
A : B : C : D = 3 × 4 × 5 : 2 × 4 × 5 : 2 × 3 × 5 : 2 × 3 × 4
∴ A : B : C : D = 60 : 40 : 30 : 24
∴ A : D = 60 : 24 = 5 : 2
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