If A : B = 8 : 15, B : C = 5 : 8 and C : D = 4 : 5, then A : D is equal to

If A : B = 8 : 15, B : C = 5 : 8 and C : D = 4 : 5, then A : D is equal to –

A 7 : 12

B 15 : 4

C 4 : 15

D 12 : 7

E None of these

Correct Answer: Option C

Given A/B = 8/15, B/C = 5/8, C/D = 4/5

∴ A/D = A/B × B/C × C/D

⇒ A/D = 8/15 × 5/8 × 4/5 = 4/15

∴ A : D = 4 : 15