Correct Answer - Option 1 : 1 ∶ 2
Given:
The ratio of two numbers A and B = 5 ∶ 8.
The ratio of B and C = 4 ∶ 5
The difference between A and B = 27.
Formula:
If the ratio of A and B is a ∶ b, assume A = ak and B = bk where k is a constant.
Calculation:
Let A, B and C be 5x, 8x and 10x respectively.
The difference between A and B = 27
⇒ 8x – 5x = 27
⇒ 3x = 27
⇒ x = 9
The number C = 10x
= 10 × 9
= 90
Ratio of 45 and C = 45 ∶ 90
= 1 ∶ 2
∴ The required ratio is 1 ∶ 2.
