If A : B = 2 : 3 and B : C = 7 : 8, find A : C.
Show answer & explanation
Correct answer: B
Explanation
The correct answer is Option 2 i.e. 7 : 12.
A : B = 2 : 3 and B : C = 7 : 8
On qualizing the ratio of B
⇒ A : B = 2 : 3 × 7
⇒ B : C = 7 : 8 × 3
So,
⇒ A : B = 14 : 21 and B : C = 21 : 24
⇒ A : B : C = 14 : 21 : 24
Thus, A : C = 14 : 24 = 7 : 12