A : B = 7 : 8 ഉം B : C = 7 : 9 ഉം ആയാൽ A : B : C യുടെ അനുപാതം എന്താണ്?

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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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നൽകിയിരിക്കുന്നത്:

A : B = 7 : 8

B : C = 7 : 9

ആശയം:

N നെ a : b ആയി വിഭജിച്ചാൽ,

ആദ്യ ഭാഗം = N × a/(a + b)

രണ്ടാം ഭാഗം = N × b/(a + b)

കണക്കുകൂട്ടല്‍:

A/B = 7/8 ----(i)

കൂടാതെ B/C = 7/9 ----(ii)

(i) ഉം (ii) ഉം സമവാക്യങ്ങൾ ഗുണിച്ചാൽ നമുക്ക് ലഭിക്കുന്നത്,

⇒ (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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