If Rs. 686 is divided, into four parts, in proportions \(\frac{1}{2}\;:\frac{2}{3}\;:3\;:4,\) then find the first part is:

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RRC Group D Previous Paper 2 (Held On: 18 Sep 2018 Shift 1)
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  1. Rs. 52
  2. Rs. 42
  3. Rs. 56
  4. Rs. 48

Answer (Detailed Solution Below)

Option 2 : Rs. 42
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Detailed Solution

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⇒ (1/2) ∶ (2/3) ∶ 3 ∶ 4 = 3 ∶ 4 ∶ 18 ∶ 24

⇒ First part = {3/(3 + 4 + 18 + 24)} × 686 = (3/49) × 686 = Rs. 42
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