Question

A : B = 3 : 4 and B : C = 5 : 6 Find the C : A
1. 5 : 2
2. 15 : 24
3. 8 : 5
4. 5 : 8

Answer 1

Correct Answer - Option 3 : 8 : 5

Given:

A : B = 3 : 4 and B : C = 5 : 6

Concept Used:

Concept of ratio and proportion

Calculation:

A : B = 3 : 4

⇒ A/B = 3/4      ----(1)

And, B : C = 5 : 6

⇒ B/C = 5/6      ----(2)

Multipling (1) and (2) get,

(A/B) × (B/C) = (3/4) × (5/6)

⇒ (A/C) = (5/8)

⇒ A : C = 5 : 8

⇒ C : A = 8 : 5

∴ The value of C : A is 8 ∶ 5.