1.

The ratio of two numbers A and B is 5 ∶ 8, and the ratio of B and C is 4 ∶ 5. The difference between A and B is 27. Find the ratio of the number 45 and C.1. 1 ∶ 22. 1 ∶ 33. 1 ∶ 44. 2 ∶ 3

Answer» 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. 



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