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      Question

      Mr. Vivek divides Rs. 1703 such that 4 times the 1st

      share, thrice the 2nd share and twice the third share amount to the same. Then the value of the 2nd share is:
      A Rs. 452 Correct Answer Incorrect Answer
      B Rs. 524 Correct Answer Incorrect Answer
      C Rs. 520 Correct Answer Incorrect Answer
      D Rs. 542 Correct Answer Incorrect Answer

      Solution

      Let the three shares be a, b and c. As per given information, 4a = 3b = 2c = k ⇒ a = k/4, b = k/3 and c = k/2 Now, a + b + c = 1703 => (k/4 + k/3 + k/2) = 1703 => (3 + 4 + 6)k/12 = 1703 ⇒ k = 1703 × 12/13 = 1572 ∴ 2nd share = b = k/3 = 1572/3 = 524

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