If A : B = 7 : 8 and B : C = 7 : 9, then what is the ratio of A : B : C ?

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SSC GD Previous Paper 2 (Held On: 11 Feb 2019 Shift 2)
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  1. 56 : 49 : 72
  2. 49 : 56 : 72
  3. 56 : 72 : 49
  4. 72 : 56 : 49

Answer (Detailed Solution Below)

Option 2 : 49 : 56 : 72
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Detailed Solution

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Given:

A : B = 7 : 8

B : C = 7 : 9

Concept:

If N is divided into a : b, then

First part = N × a/(a + b)

Second part = N × b/(a + b)

Calculation:

A/B = 7/8      ----(i)

Also B/C = 7/9      ----(ii)

Multiply equation (i) and (ii) we get,

⇒ (A/B) × (B/C) = (7/8) × (7/9)

⇒ A/C = 49/72

∵ A : B = 49 : 56

∴ A : B : C = 49 : 56 : 72

 Alternate Method

A : B = 7 : 8 = 49 : 56

B : C = 7 : 9 = 56 : 72

⇒ A : B : C = 49 : 56 : 72

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