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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 |
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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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